Existence results for impulsive neutral functional integrodifferential equations with infinite delay

Nonlinear Analysis, Theory, Methods and Applications

Volumn 71, Issue 7-8, 2009, Pages 3152-3162

  Park, J Y ^a   Balachandran, K ^a,b   Annapoorani, N ^b  

^a Pusan National University   (South Korea)

^b BHARATHIAR UNIVERSITY   (India)

Author keywords

Impulsive neutral functional integrodifferential equations; Infinite delay; Krasnoselski Schaefer type fixed point theorem; Semigroup theory

Indexed keywords

EXISTENCE RESULTS; FIXED POINT THEOREMS; IMPULSIVE NEUTRAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS; INFINITE DELAY; KRASNOSELSKI-SCHAEFER TYPE FIXED POINT THEOREM; MILD SOLUTION; SEMIGROUP THEORY;

BANACH SPACES; TOPOLOGY;

INTEGRODIFFERENTIAL EQUATIONS;

EID: 67349251854     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.01.192     Document Type: Article

References (21)

1. Lakshmikantham V., Bainov D.D., and Simeonov P.S. Theory of Impulsive Differential Equations (1989), World Scientific, Singapore
2. Benchohra M., and Ouahab A. Impulsive neutral functional differential equations with variable times. Nonlinear Anal. 55 (2003) 679-693
3. Benchohra M., Henderson J., and Ntouyas S.K. An existence result for first order impulsive functional differential equations in Banach spaces. Comput. Math. Appl. 42 (2001) 1303-1310
4. Benchohra M., Henderson J., and Ntouyas S.K. Existence results for impulsive semilinear neutral functional differential equations in Banach spaces. Mem. Differential Equations Math. Phys. 25 (2002) 105-120
5. Benchohra M., Henderson J., and Ntouyas S.K. Impulsive Differential Equations and Inclusions (2006), Hindawi Publ. Corp., New York
6. Chen L.J., and Sun J.T. Nonlinear boundary value problem of first order impulsive functional differential equations. J. Math. Anal. Appl. 318 (2006) 726-741
7. Cheng D., and Yan J. Global existence and asymptotic behavior of solution of second order nonlinear impulsive differential equations. Int. J. Math. Sci. 25 (2001) 175-182
8. Hernandez E. A second-order impulsive Cauchy problem. Int. J. Math. Math. Sci. 31 (2002) 451-461
9. Luo Z., and Shan J. Global existence results for impulsive functional differential equations. J. Math. Anal. Appl. 322 (2006) 644-653
10. Samoilenko A.M., and Perestyuk N.A. Impulsive Differential Equations (1995), World Scientific, Singapore
11. Guo D., and Liu X. Extremal solutions of nonlinear impulsive integrodifferential equations in Banach spaces. J. Math. Anal. Appl. 177 (1993) 538-552
12. He Z., and He X. Periodic boundary value problems for first order impulsive integrodifferential equations of mixed type. J. Math. Anal. Appl. 296 (2004) 8-20
13. Wang W.X., Zhang L., and Liang Z. Initial value problems for nonlinear impulsive integrodifferential equations in Banach space. J. Math. Anal. Appl. 320 (2006) 510-527
14. Chang Y.K. Controllability of impulsive functional differential systems with infinite delay in Banach spaces. Chaos Solitons Fractals 33 (2007) 1601-1609
15. Chang Y.K., Anguraj A., and Mallika Arjunan M.M. Existence results for impulsive neutral functional differential equations with infinite delay. Nonlinear Anal. Hybrid Syst. 2 (2008) 209-218
16. Yan B. Boundary value problems on the half-line with impulses and infinite delay. J. Math. Anal. Appl. 259 (2001) 94-114
17. Hernandez E., and Henriquez H.R. Impulsive partial neutral differential equations. Appl. Math. Lett. 19 (2006) 215-222
18. Hernandez E., Rabello M., and Henriquez H.R. Existence of solutions for impulsive partial neutral functional differential equations. J. Math. Anal. Appl. 331 (2007) 1135-1158
19. Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations (1983), Springer-Verlag, New York
20. Burton T.A., and Kirk C. A fixed point theorem of Krasnoselski-Schaefer type. Math. Nachr. 189 (1998) 23-31
21. Hernandez E. Existence results for partial neutral functional integrodifferential equations with unbounded delay. J. Math. Anal. Appl. 292 (2004) 194-210