Solution of impulsive boundary value problems on infinite intervals

Abstract

In this paper, the upper and lower solution method and monotone iterative technique are employed to study the boundary value problem for a class of first-order impulsive ordinary differential equations with Carathéodory condition on infinite intervals. Several existence theorems are obtained.

Keywords:

• upper and lower solutions
• impulse
• maximal and minimal solutions
• monotone iterative technique

2000 AMS Subject Classification :

• 34B37
• 34B25

Acknowledgements

This work is supported by the NNSF of China (10571050), Hunan Provincial Natural Science Foundation of (05JJ40013).