Periodic boundary value problems for second order impulsive integro-differential equations of volterra type

Abstract

The existence of solutions of periodic boundary value problems for second order impulsive integro-differential equations of Volterra type is investigated. By using the method of upper and lower solutions, it is proved that the problem in whi h impulses occur at fixed times has a solution. Some impulsive integro-differential inequalities related to such problem are also established.

Keywords:

• periodic boundary value problems
• impulsive integro-differential equations

^∗The research reported herein was supported by the U. S. Army Research Office Grant Number DAAH04-94G-0001 and NSA Grant Number MDA-904-93-H-2002.

^∗The research reported herein was supported by the U. S. Army Research Office Grant Number DAAH04-94G-0001 and NSA Grant Number MDA-904-93-H-2002.

Notes

^∗The research reported herein was supported by the U. S. Army Research Office Grant Number DAAH04-94G-0001 and NSA Grant Number MDA-904-93-H-2002.

Additional information

Notes on contributors

M. V. Moorthy

S. Sathananthan ^∗