Preparatory Year > Adminstration > Dr. Samir H. Saker > Pages > default  

Home

View All Site Content

Preparatory Year > Adminstration > Dr. Samir H. Saker
 
 

Name

Ph. D. Samir  H. Saker

 

Personal Details

 

Date of Birth:  11-1-1971.

Place: Egypt.

Statues: Married (three girls).

Permanent Address: Department of Mathematics,

 Mansoura University, Egypt

saker@math.ucalgary.ca,

shsaker@mans.edu.eg

shsaker2003@yahoo.com,

 

Educations

 

B. Sc. (May-1993) in Mathematics, Rank First, Very Good with honor degree, Mansoura University, Egypt.

M. Sc. (November-1997) in Mathematics (Differential Equations), Mansoura University, Egypt.

Title: Oscillation of Solutions of Delay Differential Equations

Ph. D. (December 2002) in Mathematics, Adam Mickiewicz University, Poznan, Poland.

Title: Oscillation Theory of Delay Differential and Difference Equations and Some of Their Applications.

 

Fields of Interest

 

  • Ordinary and functional differential equations (delay and neutral delay equations),
  • Difference equations,
  • Partial differential and difference equations,
  • Nonlinear dynamical systems, Mathematical models in Biology, Ecology, Economy, Epidemiology, and Medicine, etc.
  •  Dynamic equations on time scales.
  • Number Theory.
  • Boundary value problems.
  • Q-Calculus.

 

 

Scholarships and Grants

 

  • IKY Postdoctoral Scholarship, Department of Mathematics, University of Ioannina, Greece (March2004-August 2004).
  • Fulbright Postdoctoral Scholarship, Department of Mathematics, Trinity University, San Antonio, Texas, USA (March 2005-August 2005).
  • Postdoctoral-Fellowship, University of Calgary, Department of Mathematics, Canada, (February 2006-Janury 2007).

 

Awards

 

  • El-Dakahlia State Award and Honoring Certificate (1993).
  • Honoring Certificate from Scientists Syndicate,  Mansoura (1994),
  • Honoring Certificate from Scientists  Syndicate,  Cairo (1994),
  • Shoman Award for Young Arab Scientists, Mathematical Science, (2003).
  • Fulbright Award (2004).
  • 2005 National State Prize on Basic Science (Mathematical Science), Egyptian Academy of Scientific Research and Technology.
  • I was selected for inclusion in national who’s Who (Marquis in Science and Engineering) Edition published in November 2005.
  • State Incentive Award in Mathematics (Jan 2006).
  • King Saud University Nomination on TWAS award (Italy).

 

Academic Appointments

 

 

  • Lecturer of Mathematics, Department of Mathematics, Faculty of Science, Mansoura University from 20/7/2003 till Now.
  • Assistant Lecturer of Mathematics, Department of Mathematics, Faculty of Science, Mansoura University from 17/1/98 to 19/7/2003.
  • Demonstrator of Mathematics, Department of Mathematics, Faculty of Science, Mansoura University from 17/12/1994 to 16/1/1998.

 

Acadimic Activites

 

 

Supervision

Ph. D. Thesis (finished), Taher S. Hassan, Oscillation of some functional differential equations (2006).

 

Editorial

 

Journal of London Mathematical Society,

Journal of Mathematical Analysis and Applications,

Journal of Difference equations and Applications,

Nonlinear Analysis TMA,

Journal of Comp. and Applied Mathematics,

ANZIAM Journal,

Fasculi Mathematice,

E. Journal of Qualitative Theory Differential Equations,

Bull Korean Mathematical Society,  

E-Notes of Applied Mathematics,

Indian Journal of Pure and Applied Mathematics,

Advances in Difference equations,

European Mathematical Journal,

J. Applied Mathematics and Computing,

Journal of Applied Analysis,

African Diaspora Journal of Mathematics,

Applied Mathematics Letters,

Mathematical and Computer Modeling,

Computer & Mathematics with Applications.

Physics Letters A,

Ecological Systems,

Dynamic Systems and Applications,

Communication in Dynamical Systems, etc.

 

 

Conferences and Schools

 

  • International school of history of Mathematics, Mansoura 1999
  • Mathematics and the 21st Century, Cairo - Egypt 15-20 January 2000.
  • International Conference of Topological Methods in Nonlinear Analysis, the Mathematical Conference Center, Badlevo, Poland, 18-23 June, 2001.
  • Czechoslovak International Conference on Differential Equations and Their Applications,  EQUADIFF 10, Prague, Czech Republic, August 27- 31, 2001.
  • School on Population Dynamics, the Mathematical Conference Center, Badlevo, Poland June 17-21, 2002.
  • Conference on Mathematical Modeling of population Dynamics, the Mathematical Conference Center, Badlevo, Poland, June 24-28, 2002.
  • Workshop on Periodicities in Difference Equations, University of Ioannina, Greece, June 5, 2004.
  • Texas Dynamics Systems Workshop, Trinity University, San Antonio, USA, April 8-9, 2005.
  • International Conference on mathematical Analysis and its Applications, Assiut-Egypt, 3-6 January 2006.
  • Canadian Mathematical Society Summer 2006 Meeting, University of Calgary, Calgary, Alberta, Canada, June 3-5, 2006.
  • Workshop of computation and Modeling: Methods and Applications, King Abdul Aziz City for Science and Technology, Riyadh, January 23, 2007.
  • Third Saudi Science Conference (New Horizons in Science and their Applications) College of Science - King Saud University 10-13th March 2007 (20-23/1428 H).
  • Workshop of Partial differential equations in modern mathematical physics and applied mathematics, King Abdul Aziz City for Science and Technology, Riyadh, February 13, 2007

 

 

  Summary of Studies

 

 

  • Qualitative theory of differential and partial differential equations,
  • Qualitative theory theory of difference and partial difference equations,
  • Periodicity of non-autonomous delay difference equations and applications,
  • Dynamics of nonlinear delay continuous and discrete mathematical models in Biology, Ecology, Medicines, Economics, etc. (oscillation, boundedness, permanence, periodicity, persistence, stability, global attractivity).
  • Oscillation and periodicity theory of dynamic equations, delay dynamic equations and neutral delay dynamic equations on time scales.
  • Oscillation theory of q-differential-difference equation.
  • Boundary value problems.

 

 

Scientific Publications 

 

Two papers selected on Top 25 on Sciencedirect (hotest articles).

S. H. Saker, Oscillation of second-order nonlinear neutral delay dynamic equations on time scales, Journal of Computational and Applied Mathematics, Volume 187, Issue 2, 1 March 2006, 123-141.

R. P. Agarwal, D. O'Regan and S. H. Saker, Oscillation criteria for second-order nonlinear neutral delay dynamic equations, Journal of Mathematical Analysis and Applications, 300, Issue 1, 1 December 2004, 203-217.

 

 

Differential Equations

 

E. M. Elabbasy and S. H. Saker, Oscillation of nonlinear delay differential equations with several positive and negative coefficients, Kyungpook Mathematical Journal, Vol. 39 (1999), 366-376.

E. M. Elabbasy, S. H. Saker and K. Saif, Oscillation of nonlinear delay differential equations with application to models exhibiting the Allee effect, Far East Journal of Mathematical Sciences 1, no. 4 (1999), 603-620.

E. M. Elabbasy, A. S. Hegazi and S. H. Saker, Oscillation of solutions to delay differential equations with positive and negative coefficients, Electronic Journal of Differential Equations 2000, No. 13 (2000), 1-13.

Ravi P. Agarwal and S. H. Saker, Oscillation of solutions to neutral delay differential equations with positive and negative coefficients, International Journal of Differential Equations and Applications 2 (2001), 449-465.

S. H. Saker and E. M. Elabbasy, Oscillation of first order neutral delay differential equations, Kyungpook Mathematical Journal 41 (2001), 311-321. 

W. T. Li and S. H. Saker, Oscillation of nonlinear neutral delay differential equations and applications, Annales Polinici Mathematici 77 (2001), no. 1, 39-51.

S. H. Saker, Oscillation of higher order neutral delay differential equations with variable coefficients, Dynamic Systems & Application 11 (2002), No.1,  107-125.  

I. Kubiaczk and S. H. Saker, New oscillation criteria of first order delay differential equations, Demonstr. Math. 35, no.2 (2002), 313-324.

W. T. Li and S. H. Saker, Oscillation of solutions to impulsive delay differential equations, Commentationes Mathematicae XLII (2002), 63-74. 

I. Kubiaczyk, S. H. Saker, Oscillation of solution of neutral delay differential equations, Math. Slovaca 52 (2002), no. 3, 343-359.

S. H. Saker and I. Kubiaczyk, Oscillation of nonlinear neutral delay differential equations, J. Appl. Analysis 8 (2002), no.2, 261-278. 

S. H. Saker, Oscillation of second order neutral delay differential equations of Emden-Fowler type, Acta Math. Hungarica 100, no.1-2  (2003), 7-32.

E. M. Elabbasy and S. H. Saker, Oscillation of delay differential equations with several positive and negative coefficients, Disc. Math. Differential Inclusion, 23 (2003) 39-52.  

S. H. Saker, P.Y.H. Pang and Ravi P Agarwal, Oscillation theorems for second order nonlinear functional differential equations with damping, Dynamic Sys. Appl. 12 (2003), 307-322.

I. Kubiaczyk and S. H. Saker and J. Morhalo, New oscillation criteria for nonlinear neutral delay differential equations, Appl. Math. Comp. 142 (2-3)(2003), 225-242. 

S. H. Saker, Oscillation of solutions of a pair of coupled nonlinear delay differential equations, Portugalae Mathematica 60 (2003), 319-336.

I. Kubiaczyk, W. T. Li and S. H. Saker, Oscillation of higher order delay differential equations with applications to hyperbolic equations, Indian J. Pure & Appl. Math. 34 (2003), 1259-1271. 

I. Kubiaczyk and S. H. Saker, Oscillation theorems of second order nonlinear neutral delay differential equations, Disc. Math. Diff. Incl. Cont. Optim. 22 (2002), 185-212.

S. H. Saker and J. V. Manojlovic, Oscillation criteria for second order Superlinear neutral delay differential equations,  EJQTDE. 10 (2004), 1-22. 

E. M. Elabbasy, T. S. Hassan, S. H. Saker, Oscillation of second-order nonlinear differential equations with a damping term, EJDE Vol. 2005 (2005), No. 76, pp. 1-13.

E. M. Elabbasy, T. S. Hassan, S. H. Saker, Oscillation criteria for first-order nonlinear neutral delay differential equations, EJDE Vol. 2005 (2005), No. 134, pp. 1-18. 

E. M. Elabbasy, T. S. Hassan, S. H. Saker, Necessary and sufficient conditions for oscillation of neutral differential equation, Serdica Math. J. 31 (2005), 1001-1012

Y. G. Sun and S. H. Saker, Forced Oscillation of higher order nonlinear differential equations, Appl. Math. Comp. 173 (2006), 1219-1226. 

S. H. Saker, Oscillation criteria of third-order nonlinear delay differential equations, Math. Slovaca 56 (4) (2006), 433-450.

E. M. Elabbasy, T. S. Hassan, S. H. Saker, Oscillation and nonoscillation of nonlinear neutral delay differential equations with several positive and negative coefficients, Kyungpook Mathematical Journal J. 47(2007), 1-20. 

E. M. Elabbasy, T. S. Hassan, S. H. Saker, New oscillation Criteria for first order nonlinear neutral delay differential equations, J. Appl. Math. Comp. (accepted).

M. Bohner and S. H. Saker, Oscillation of damped second order nonlinear delay  differential equations of Emden-Fowler type, Advances in Dynamical Systems and Applications 1, No.2 (2006), 43-61.

B. Bacuĺıkov́ a, E. M. Elabbasy, S. H. Saker, J. Ďzurina, Oscillation Criteria for Third-Order Nonlinear Differential Equations, Math. Slovaka (to appear in 2008)

 

Partial Differential Equations 

 

 

I. Kubiaczyk, S. H. Saker, Oscillation of parabolic delay differential equations, Demonst. Math. 35, no.4 (2002), 781-792.

I. Kubiaczyk and S. H. Saker, Oscillation of delay parabolic differential equations with several coefficients, J. Comp. Appl. Math. 147 (2002), no. 2, 263-275. 

I. Kubiaczyk and S. H. Saker, Oscillation of parabolic delay differential equations with positive and negative coefficients, Commentationes Mathematicae XLII (2002), 221-236.

S. H. Saker, Oscillation of hyperbolic nonlinear differential equations with deviating arguments, Publ. Math. Debr. 62 (2003), 165-185.

 

 

Difference Equations

 

 

  1. S. H. Saker, Oscillation of nonlinear neutral difference equations, Inter. J. Pure Appl. Math.  vol. 1, no. 4 (2002), 459-470. 
  2. S. H. Saker, Kamenev-type oscillation criteria for forced Emden-Fowler superlinear difference equations, Elect. J. Diff. Eqns. 2002 (2002), no. 68, 1-9.
  3. S. H. Saker, New oscillation criteria for second-order nonlinear neutral delay difference equations, Appl. Math. Comp. 142 (2003), 99-111. 
  4. S. H. Saker, Oscillation theorems of nonlinear difference equations of second order, Georgian Mathematical J. 10, no.2 (2003), 343-352.
  5. S. H. Saker, Oscillation of second-order perturbed nonlinear difference equations, Appl. Math. Comp. 144 (2-3) (2003), 305-324 
  6. W. T. Li and S. H. Saker, Oscillation of second-order sublinear neutral delay difference equations, Appl. Math. Comp. 146 (2003), 543-551
  7. S. H. Saker and P. J. Y. Wong, Nonexistence of unbounded nonoscillatory solutions of nonlinear perturbed partial difference equations, J. Concrete and Applicable Math. 1 (1) (2003), 87-99. 
  8. S. H. Saker and S. S. Cheng, Kamenev type oscillation criteria for nonlinear difference equations, Czechoslovak Math.  J., 54 (2004) 955 – 967.
  9. S. H. Saker and S. S. Cheng, Oscillation criteria for difference equations with damping terms, Appl. Math. Comp. 148 (2004), 421-442. 
  10. S. H. Saker, Oscillation of second order nonlinear delay difference equations, Bulletin of  the Korean Math. Soc. 40 (2003), 489-501.
  11.  S. H. Saker, Oscillation theorems for second-order nonlinear delay difference equations, Periodica Math. Hungarica 47 (2003), 201-213. 
  12. B. G. Zhang and S. H. Saker, Kamenev-type oscillation criteria for nonlinear neutral delay difference equations, Indian J. Pure Appl. Math 34 (2003), 1571-1584.
  13. I. Kubiaczyk, S. H. Saker, J. Morchalo, Kamenev-type oscillation criteria for sublinear delay difference equations, Indian J. Pure Appl. Math. 34 (2003), 273-1284.  
  14. S. H. Saker, Oscillation of third-order difference equations, Portugalae Mathematica 61 (2004), 249-257.
  15. S. H. Saker, Oscillation criteria of second-order half-linear delay difference equations, Kyungpook Math. J. 45 No. 4 (2005) 579-594. 
  16. I. Kubiaczyk and S. H. Saker, Oscillation and asymptotic behavior of second-order nonlinear difference equations, Fasc. Math.  No. 34 (2004), 39-54.
  17. Y. G. Sun and S. H. Saker, Oscillation for second-order nonlinear neutral delay difference equations,  Appl. Math. Comp. 163 (2005) 909-918. 
  18. S. H. Saker, Oscillation and asymptotic behavior of third-order nonlinear neutral difference equations, Dynamic Systems & Applications 15 (2006), 549-568.
  19. Y. G. Sun and S. H. Saker, On the oscillation of second-order perturbed nonlinear difference equations,  Dyn. Sys. Appl. 15 (2006), 537-548. 
  20. S. H. Saker and B. G. Zhang, Oscillation of second-order nonlinear delay damped difference equations, Acta Matematica Sinica 23, no.4 (2007), 715-722.
  21. S. H. Saker, Oscillation and asymptotic behavior of third order nonlinear delay difference
  22. equations, Journal of Contemporary Mathematics (accepted). 
  23. Y. G. Sun and S. H. Saker, Forced oscillation of higher-order nonlinear difference equations, Appl. Math. Comp. (in press).
  24. S. H. Saker and P. J. Y. Wong, Oscillation and asymptotic behavior of perturbed nonlinear difference equations, Indian J. Pure Appl. Math. (Accepted). 

 

Partial Difference Equations 

 

 

  1. I. Kubiaczyk and S. H. Saker, Kamenev-type oscillation criteria for hyeperbolic nonlinear delay difference equations, Demonstratio Math. 36, no. 1 (2003), 113-122.
  2. S. H. Saker, Oscillation of parabolic neutral delay difference equations with several positive and negative coefficients, Appl. Math. Comp. 143 (1), (2003), 173-186. 
  3. I. Kubiaczyk and S. H. Saker, Oscillation theorems for discrete nonlinear delay wave equations, Z. Angew. Math. Mech. 2003, 83, No. 12, 812-819, (J. Applied Mathematics and Mechanics), (ZAMM).
  4. S. H. Saker, Kamenev-type oscillation criteria for hyperbolic nonlinear neutral delay difference equations, Nonlinear Studies 10 (2003), 221-236. 
  5. S. H. Saker, Oscillation of parabolic neutral delay difference equations, Bull. Korean Math. Soc.  41 (2004), no. 4, 619-632.

 

Mathematical models and Applications

 

 

  1. E. M. Elabbasy, S. H. Saker and K. Saif, Oscillation in Host Macroparasite model with delay time, Far East Journal of Applied Mathematics 4, no. 2, (2000), 119-142. 
  2. I. Kubiaczyk and S. H. Saker, Oscillation and stability of nonlinear delay differential equations of population dynamics, Mathematical and Computer Modeling 35 (2002), 295-301.
  3. S. H. Saker and S. Agarwal, Oscillation and global attractivity in a nonlinear delay periodic model of Respiratory Dynamics, Comp. Math. Appl. 44 (2002), 5-6, 623-632.
  4. S. H. Saker and S. Agarwal, Oscillation and global attractivity in nonlinear delay periodic model of population dynamics, Applicable Analysis 81 (2002), 787 – 799.
  5. S. H. Saker and S. Agarwal, Oscillation and global attractivity in a periodic Nicholson's Blowflies model, Mathl. Comp. Modelling 35 (2002), 719-731. 
  6. S. H. Saker, Oscillation and global attractivity of Hematopoiesis model with delay time, Applied Math. Comp. 136 (2003), no.2-3, 27-36.
  7. S. H. Saker and B. G. Zhang, Oscillation in a discrete partial Nichlson’s Blowflies model, Mathl. Comp. Modelling 36 (2002), 1021-1026. 
  8. S. H. Saker, Oscillation and global attractivity in hematopoiesis model with periodic coefficients, Appl. Math. Comp. 142 (2-3) (2003), 477-494.
  9. B. G. Zhang and S. H. Saker, Oscillation in a discrete partial delay survival red blood cells model, Mathl. Comp. Modeling 37 (2003), 659-664. 
  10. I. Kubiaczyk and S. H. Saker, Oscillation and global attractivity of discrete survival red blood cells model, Applicationes Mathematicae 30 (2003), 441-449.
  11. S. H. Saker, Oscillation and global attractivity in a periodic delay hematopoiesis model, J. Appl. Math. Computing 13, (2003), 287-300. 
  12. S. H. Saker and S. Agarwal, Oscillation and global attractivity of a periodic survival red blood cells model, Journal Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications & Algorithms 12 (2005), no. 3-4, 429-440.
  13. E. M. Elabbasy, S. H. Saker, Dynamics of a class of non-autonomous systems of two non-interacting preys with common predator, J. Appl. Math. Computing 17 (2005), no. 1-2, 195-215. 
  14. S. H. Saker, Existence of positive periodic solutions of discrete model for the interaction of demand and supply, Nonlinear Functional Analysis and Applications, 10 (2005), no. 2, 311-324.
  15. S. H. Saker, Oscillation of continuous and discrete diffusive delay Nicholson’s Blowflies models, Appl. Math. Comp.  167 (2005), 179-197. 
  16. E. M. Elabbasy and S. H. Saker, Periodic solutions and oscillation of discrete nonlinear delay population dynamics model with external force,  IMA J. Appl. Math. (2005), 1-15.
  17. S. H. Saker and Y. G. Sun, Existence of positive periodic solutions of nonlinear discrete model exhibiting the Allee effect, Appl. Math. Comp. 168 (2005), 1086-1097. 
  18. S. H. Saker and Y. G. Sun, Oscillatory and asymptotic behavior of positive periodic solutions of nonlinear discrete model exhibiting the Allee effect, Appl. Math. Comp. 168 (2005), 1205-1218.
  19. S. H. Saker, Oscillation and global attractivity of impulsive periodic delay respiratory dynamics model, Chinese Annals of Math. 26 B (2005), 511-522. 
  20. M. F. Elettreby, S.H. Saker and E. Ahmed, On multi-team predator-prey models, ICTP Reports, IC 2005.
  21. E. M. Elabbasy, S. H. Saker  and H. EL-Metwally, Oscillation and stability of nonlinear discrete models exhibiting the Allee effect,  Mathematica  Slovaka 56 (2006), ----. 
  22. E. M. Elabbasy H. N. Agiza, and S. H. Saker, Global existence of positive periodic solutions of two-dimensional logistic model for the interaction of demand and supply,  Mansoura J. Mathematics  Vol. 32, No. 1.
  23. S. H. Saker and Y. G. Sun, Positive Periodic Solution of Discrete Three-Level Food-Chain Model of Holling Type II,  Appl. Math. Comp. 180, Issue 1, 1 (2006) 353-365 
  24. S. H. Saker and J. Alzabut, Existence of periodic solutions, global attractivity and oscillation of impulsive delay population model, Nonlinear Analysis, Real world Phenomena Volume 8, Issue 4, September 2007, Pages 1029-1039.
  25. E. Braverman, and S. H. Saker, Permanence, Oscillation and Attractivity of the Discrete Hematopoiesis Model with Variable Coefficients, Nonlinear Anal. Ther. Meth. Appl. (accepted). 
  26. S. H. Saker and J. Alzabut, Periodic Solutions, Global attractivity and oscillation of impulsive delay  host macroparasite model, Mathl. Comp. Modeling 45 (2007) 531–543.
  27. S. H. Saker, Oscillation and attractivity of discrete nonlinear delay population model, J. Appl. Math. Computing (accepted). 
  28. R. P. Agarwal, D. O'Regan and S. H. Saker, Oscillation and global attractivity in a delay periodic host macroparasite model, Appl. Math. Comp. (accepted).
  29. S. H. Saker, Qualitative analysis of discrete nonlinear delay survival red blood cells model, Nonlinear Analysis, Real world Phenomena (in press).
  30. E. Braverman, and S. H. Saker, Periodic solutions, oscillation and global attractivity of discrete delay host macro-parasite model, Chinese Annals of Math. (Submitted). 
  31. S. H. Saker, Periodic Solutions, Oscillation and attractivity of discrete nonlinear delay population model, Mathl. Comp. Modeling (in press).
  32. S. H. Saker and J. Alzabut, On impulsive delay hematopoiesis model with periodic coefficients, Rocky Mount. J. Math.  (accepted). 
  33. S. H. Saker, Stability and Hopf bifurcations of nonlinear delay malaria epidemic model, (submitted).

 

Dynamic Equations on Time Scales

 

 

  1. S. H. Saker, Oscillation of nonlinear dynamic equations on time scales, Appl. Math. Comp. 148 (2004), 81-91.
  2. L. Erbe, A. Peterson and S. H. Saker, Oscillation criteria for second-order nonlinear dynamic equations on time scales. J. London Math. Soc. 76 (2003), 701-714. 
  3. M. Bohner and S. H. Saker, Oscillation of second order nonlinear dynamic equations on time scales, Rocky Mountain J. Math. 34, no. 4 (2004), 1239-1254.
  4. E. Akin-Bohner, M. Bohner and S. H. Saker, Oscillation for certain of class of second order Emden-Fowler dynamic equations, Electr. Transaction Numerical Anal. (to appear). 
  5. M. Bohner and S. H. Saker, Oscillation criteria for perturbed nonlinear dynamic equations, Mathl. Comp. Modeling 40 (2004), 3-4, 249 – 260.
  6. R. Agarwal, M. Bohner and S. H. Saker, Oscillation criteria for second order delay dynamic equation, Canadian Applied Mathematics Quarterly 13 (2005), 1-19. 
  7. S. H. Saker, Oscillation criteria of second-order half-linear dynamic equations on time scales, J. Comp. Appl. Math. 177 (2005), 375-387.
  8. S. H. Saker, Oscillation of second-order forced nonlinear dynamic equations on time scales, E. Journal of Qualitative Theory Differential Equations  No. 23 (2005), 1-17.  
  9. R. P. Agarwal, D. O'Regan and S. H. Saker, Oscillation criteria for second-order nonlinear neutral delay dynamic equations, Journal of Math. Anal. Appl. 300 (2004), 203-217.
  10. L. Erbe, A. Peterson and S. H. Saker, Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales, J. Comp. Appl. Math.  181, No. 1 (2005), 92-102. 
  11. S. H. Saker, Boundedness of solutions of second-order forced nonlinear dynamic equations, Rocky Mountain. J. Math 36 (6) (2006), 2027-2039.
  12. S. H. Saker, New oscillation criteria for second-order nonlinear dynamic equations on time scales, Nonlinear Fun. Anal. Appl. 11 (3) (2006), 351-370. 
  13. S. H. Saker, Oscillation of second-order nonlinear neutral delay dynamic equations on time scales, J. Comp. Appl. Math. 187 (2006), 123-141.
  14. L. Erbe, A. Peterson and S. H. Saker, Kamenev-type oscillation criteria for second-order linear delay dynamic equations, Dynamic Syst. & Appl. 15 (2006), 65-78. 
  15. R. P. Agarwal, D. O'Regan and S. H. Saker, Oscillation criteria for nonlinear perturbed dynamic equations of second-order on time scales, Journal of Applied Mathematics and Computing 20 (2006), no. 1-2, 133-147.
  16. S. H. Saker, Oscillatory behavior of linear neutral delay dynamic equations on time scales, Kyungpook Math. Journal (accepted). 
  17. S. H. Saker, Oscillation criteria for a certain class of second-order neutral delay dynamic equations, Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications & Algorithms (accepted).
  18. S. H. Saker, Oscillation of second-order neutral delay dynamic equations of Emden-Fowler type, Dynamic Sys. Appl. 15 (2006), 629-644. 
  19. L. Erbe, A. Peterson and S. H. Saker, Hille-Kneser type criteria for second-order dynamic equations on time scales, Advances in Difference Eqns. (2006).
  20. L. Erbe, A. Peterson and S. H. Saker, Oscillation criteria for second-order nonlinear delay dynamic equations, J. Math. Anal. Appl. (accepted). 
  21. M. Bohner and S. H. Saker, Oscillation of second-order half-linear dynamic equations on discrete time scales, Inter. J. of Difference Eqns.  Dyn.  Sys. (accepted).
  22. R. P. Agarwal, D. O'Regan and S. H. Saker, Properties of bounded solutions of nonlinear dynamic equations on time scales, Canadian Appl. Math. 14 (2006), no. 1, 1-10. MR2289084. 
  23. L. Erbe, A. Peterson and S. H. Saker, Oscillation and asymptotic behavior of a third-order nonlinear dynamic equation, Canadian Appl. Math. Quart. 14 (2), (2006), 124-147.
  24. L. Erbe, A. Peterson and S. H. Saker, Hille and Nehari type criteria for third-order dynamic equations, J. Math. Anal. Appl. 329 (2007) 112–131. 
  25. R. P. Agarwal, D. O'Regan and S. H. Saker, Oscillation of second-order damped dynamic equations on time scales, J. Math. Anal. Appl. Volume 330, Issue 2, 15 June 2007, Pages 1317-1337
  26. S. H. Saker, Oscillation of second-order delay and neutral delay dynamic equations on time scales, Dyn. Sys. Appl. 16 (2007), 345-360. 
  27. R. P. Agarwal, D. O'Regan and S. H. Saker, Philos-type oscillation criteria of second-order half-linear dynamic equations on time scales, Rocky Mount. J. Math.  (accepted).
  28. S. H. Saker, Hille and Nehari types oscillation criteria for second-order neutral delay dynamic equations, Dyn. Cont. Disc. Imp. Sys., (Accepted). 
  29. S. H. Saker, On oscillation of second-order delay dynamic equations on time scales,   Australian J. Mathl. Anal. & Appl. (accepted).
  30. R. P. Agarwal, D. O'Regan and S. H. Saker, Oscillation results for second-order nonlinear neutral delay dynamic equations on time scales, Appl. Anal. Vol. 86, No. 1, January 2007, 1–17. 
  31. S. H. Saker, Oscillation of second-order delay perturbed dynamic equations on time scales, Comp. Math. Appl. (submitted).
  32. S. H. Saker, Oscillation theorems for second-order nonlinear neutral delay dynamic equations on time scales, Inter. J. Appl. Math. Stat. (accepted)

 

References

USA 

Professor: Ravi P. Agarwal, Department of Mathematics, Florida Institute of Technology, Florida, e-mail: agarwal@fit.edu

Professor: Lyne Erbe, Department of Mathematics and Statistics University of Nebraska-Lincoln, Lincoln, NE 68588-0323, U. S. A. e-mail: lerbe@math.unl.edu.  

Professor: Allan Peterson, Department of Mathematics and Statistics University of Nebraska-Lincoln, Lincoln, NE 68588-0323, U. S. A. e-mail: apeterso@math.unl.edu.

Professor: Saber N. Elaydi, Trinity University, Department of Mathematics, One Trinity Place, San Antonio, Texas 78212-7200, USA, e-mail: selaydi@trinity.edu

Professor:  M. Bohner, Department of Mathematics and Statistics, University of Missouri-Rolla, Missouri 65401, U. S. A. e-mail: bohner@umr.edu.

Prof. Elena Akin-Bohner, Department of Mathematics and Statistics, University of Missouri-Rolla, Missouri 65401, U. S. A. e-mail: akine@umr.edu

Canada

Prof. Elena Braverman, Department of Mathematics, University of Calgary, Alberta, Canada. e-mail: maelena@math.ucalgary.ca

Ireland

Prof. Donal O'Regan, National University of Ireland, Galway, Ireland, e-mail: donal.oregan@nuigalway.ie

Poland

Prof. I. Kubiaczyk, Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Matejki 48/49,60-769 Poznan, Poland.

Prof. Jaroslaw Morchalo, Poznan University of Technology, Os. Lecha 71/8, 61-286 Poznan, Poland.

China

Prof. B. G. Zhang, Department of Mathematics, Ocean University of China, Qingdao, 266071, P. R. C. e-mail: bgzhang@public.qd.sd.cn

Prof. S. S. Cheng,  Department of Mathsmatics, Tsing Hua University  Hsinchu, Taiwan 30043, R. O. China, sscheng@math.nthu.edu.tw

Prof. Y. G. Sun,  Department of Mathematics, Qufu Normal University, Qufu, Shandong 273165, China, e-mail: yugsun@263.net 

Prof. Wan-Tong Li, Lanzhou University730000 Lanzhou, Gansu, China, e-mail: wtli@lzu.edu.cn

Slovakia

Prof. J. Dzurina,  Department of Mathematics, FEI TU Kosice, Slovakia

 jozef.dzurina@tuke.

Singapore

Prof. P. J. Y. Wong, Division of Mathematics, Nanyang Technological University, 469, Bukit Timah Road, Singapore 259756, Singapore.  e-mail: wongjyp@nievax.nie.ac.sg

Pakistan

Prof. Muhammad Aslam Noor, Mathematics Department, Lahore University of Management Sciences, Lahore, Pakistan.

e-mails: noormaslam@hotmail.com

 noormaslam@gmail.com

Turkey  

Prof.  J. O. Alzabut

Department of Mathematics and Computer Science, Ankaya University, 06530 Ankara, Turkey, jehad@cankaya.edu.tr

Egypt

Professor:  E. M. Elabbasy (Vice Dean), Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt. e-mail: emelabbasy@mans.edu.eg.

 Professor E. Ahmed, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt. e-mail: magd45@yahoo.com
 
King Saud University 2007 all rights reserved
-->