Existence of solutions for second-order nonlinear impulsive differential equations with periodic boundary value conditions

Boundary Value Problems

Volumn 2007, Issue , 2007, Pages

  Bai, Chuanzhi ^a   Yang, Dandan ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38949147189     PISSN: 16872762     EISSN: 16872770     Source Type: Journal    
DOI: 10.1155/2007/41589     Document Type: Article

References (31)

1. M. Benchohra J. Henderson S. Ntouyas Impulsive Differential Equations and Inclusions Contemporary Mathematics and Its Applications 2 Hindawi New York, NY, USA 2006
2. X. Liu Advances in Impulsive Differential Equations Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 9 3 2002 313-462
3. Y. V. Rogovchenko Impulsive evolution systems: Main results and new trends Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 3 1997 1 57-88
4. A. M. Samoílenko N. A. Perestyuk Impulsive Differential Equations World Scientific Series on Nonlinear Science. Series A: Monographs and Treatises 14 World Scientific River Edge, NJ, USA 1995 x+462
5. S. T. Zavalishchin A. N. Sesekin Dynamic Impulse Systems. Theory and Applications Mathematics and Its Applications 394 Kluwer Academic Publishers Dordrecht, The Netherlands 1997 xii+256
6. M. Choisy J. F. Guégan P. Rohani Dynamics of infectious diseases and pulse vaccination: Teasing apart the embedded resonance effects Physica D: Nonlinear Phenomena 22 1 2006 26-35
7. A. d'Onofrio On pulse vaccination strategy in the SIR epidemic model with vertical transmission Applied Mathematics Letters 18 2005 7 729-732
8. S. Gao L. Chen J. J. Nieto A. Torres Analysis of a delayed epidemic model with pulse vaccination and saturation incidence Vaccine 24 35-36 2006 6037-6045
9. Z. He X. Zhang Monotone iterative technique for first order impulsive difference equations with periodic boundary conditions Applied Mathematics and Computation 156 2004 3 605-620
10. W.-T. Li H.-F. Huo Global attractivity of positive periodic solutions for an impulsive delay periodic model of respiratory dynamics Journal of Computational and Applied Mathematics 174 2005 2 227-238
11. S. Tang L. Chen Density-dependent birth rate, birth pulses and their population dynamic consequences Journal of Mathematical Biology 44 2002 2 185-199
12. W. Wang H. Wang Z. Li The dynamic complexity of a three-species Beddington-type food chain with impulsive control strategy Chaos, Solitons & Fractals 32 5 2007 1772-1785
13. J. Yan A. Zhao J. J. Nieto Existence and global attractivity of positive periodic solution of periodic single-species impulsive Lotka-Volterra systems Mathematical and Computer Modelling 40 2004 5-6 509-518
14. W. Zhang M. Fan Periodicity in a generalized ecological competition system governed by impulsive differential equations with delays Mathematical and Computer Modelling 39 2004 4-5 479-493
15. X. Zhang Z. Shuai K. Wang Optimal impulsive harvesting policy for single population Nonlinear Analysis: Real World Applications 4 2003 4 639-651
16. R. P. Agarwal D. O'Regan Multiple nonnegative solutions for second order impulsive differential equations Applied Mathematics and Computation 114 2000 1 51-59
17. L. Chen J. Sun Nonlinear boundary value problem of first order impulsive functional differential equations Journal of Mathematical Analysis and Applications 318 2006 2 726-741
18. W. Ding M. Han J. Mi Periodic boundary value problem for the second-order impulsive functional differential equations Computers & Mathematics with Applications 50 2005 3-4 491-507
19. J. J. Nieto R. Rodríguez-López Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations Journal of Mathematical Analysis and Applications 318 2006 2 593-610
20. I. Rachůnková M. Tvrdý Non-ordered lower and upper functions in second order impulsive periodic problems Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 12 2005 3-4 397-415
21. J. Chen C. C. Tisdell R. Yuan On the solvability of periodic boundary value problems with impulse Journal of Mathematical Analysis and Applications 331 2007 2 902-912
22. J. Li J. J. Nieto J. Shen Impulsive periodic boundary value problems of first-order differential equations Journal of Mathematical Analysis and Applications 325 2007 1 226-236
23. J. J. Nieto Periodic boundary value problems for first-order impulsive ordinary differential equations Nonlinear Analysis 51 2002 7 1223-1232
24. C. Bai Existence of solutions for second order nonlinear functional differential equations with periodic boundary value conditions International Journal of Pure and Applied Mathematics 16 2004 4 451-462
25. M. Rudd C. C. Tisdell On the solvability of two-point, second-order boundary value problems Applied Mathematics Letters 20 2007 7 824-828
26. Y. Dong Sublinear impulse effects and solvability of boundary value problems for differential equations with impulses Journal of Mathematical Analysis and Applications 264 2001 1 32-48
27. Y. Liu Further results on periodic boundary value problems for nonlinear first order impulsive functional differential equations Journal of Mathematical Analysis and Applications 327 2007 1 435-452
28. D. Qian X. Li Periodic solutions for ordinary differential equations with sublinear impulsive effects Journal of Mathematical Analysis and Applications 303 2005 1 288-303
29. N. G. Lloyd Degree Theory Cambridge Tracts in Mathematics, no. 73 Cambridge University Press Cambridge, UK 1978 vi+172
30. V. Lakshmikantham D. D. Baínov P. S. Simeonov Theory of Impulsive Differential Equations Series in Modern Applied Mathematics 6 World Scientific Teaneck, NJ, USA 1989 xii+273
31. J. J. Nieto Basic theory for nonresonance impulsive periodic problems of first order Journal of Mathematical Analysis and Applications 205 1997 2 423-433