Sign in
Back
Existence of global solutions for second order impulsive abstract partial differential equations
Journal article   Peer reviewed

Existence of global solutions for second order impulsive abstract partial differential equations

S. Sivasankaran, M. Mallika Arjunan and V. Vijayakumar
Nonlinear analysis, Vol.74(17), pp.6747-6757
01/12/2011
DOI: https://doi.org/10.1016/j.na.2011.06.054

Abstract

Cosine function of operators Global solutions Impulsive systems Second order abstract Cauchy problem
In this paper, we study the existence of global solutions for a class of second order impulsive abstract functional differential equations. The results are obtained by using Leray–Schauder’s Alternative fixed point theorem. An application is provided to illustrate the theory.

Metrics

1 Record Views

Details