Anti-periodic boundary value problems for first order impulsive functional differential equations

Applied Mathematics and Computation

Volumn 186, Issue 1, 2007, Pages 45-53

  Ding, Wei ^a   Xing, Yepeng ^a   Han, Maoan ^a  

^a SHANGHAI NORMAL UNIVERSITY   (China)

Author keywords

Anti periodic boundary value problem; Impulsive functional differential equation; Lower (upper) solution; Monotone iterative technique

Indexed keywords

DIFFERENTIAL EQUATIONS; ITERATIVE METHODS; NUMERICAL METHODS; PROBLEM SOLVING;

ANTI-PERIODIC BOUNDARY VALUE PROBLEMS; IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATION; MONOTONE ITERATIVE TECHNIQUE;

BOUNDARY VALUE PROBLEMS;

EID: 33947268139     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.07.087     Document Type: Article

References (8)

1. Lakshmikantham V., Bainov D.D., and Simeonov P.S. Theory of Impulsive Differential Equations (1989), World Scientific, Singapore
2. Nieto J.J., and Rodriguez-Lopez R. Existence and approximation of solutions for nonlinear functional differential equations with periodic boundary value conditions. Comput. Math. Appl. 40 (2000) 433-442
3. Nieto J.J., and Rodriguez-Lopez R. Remarks on periodic boundary value problems for functional differential equations. J. Comput. Appl. Math. 158 (2003) 339-353
4. Ding W., and Han M.A. Periodic boundary value problem for first order impulsive functional differential equations. Appl. Math. Comput. 165 (2004) 433-446
5. Ladde G.S., Lakshmikantham V., and Vatsala A.S. Monotone Iterative Techniques for Nonlinear Differential Equations (1995), Pitman, London
6. Luo Z., Shen J., and Nieto J.J. Antiperiodic boundary value problem for first-order impulsive ordinary differential equations. Comput. Math. Appl. 49 (2005) 253-261
7. Franco D., and Nieto J.J. First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions. Nonlinear Anal. 42 (2000) 163-173
8. Yin Y. Remarks on first order differential equations with anti-periodic boundary conditions. Nonlinear Times Digest 2 (1995) 83-94