Journal of Applied Mathematics and Stochastic Analysis 
Volume 5 (1992), Issue 4, Pages 363-373
doi:10.1155/S1048953392000303

Existence of approximate solution to abstract nonlocal Cauchy problem

L. Byszewski

 Florida Institute of Technology, Department of Applied Mathematics, 150 West University Blvd., Melbourne 32901-6988, Florida, USA
Received 1 July 1992; Revised 1 October 1992

Abstract

The aim of the paper is to prove a theorem about the existence of an approximate solution to an abstract nonlinear nonlocal Cauchy problem in a Banach space. The right-hand side of the nonlocal condition belongs to a locally closed subset of a Banach space. The paper is a continuation of papers [1], [2] and generalizes some results from [3].