Existence of Solutions of a Class of Abstract Second Order
Nonlinear Integrodifferential Equations
K. Balachandran1and J. Y. Park2
Received01 Nov 2000
Revised01 Sept 2001
Abstract
In this paper we prove the existence of solutions of nonlinear second order integrodifferential
equations in Banach spaces. The results are obtained by using
the theory of strongly continuous cosine families of operators and the Schaefer
fixed point theorem.