Journal of Applied Mathematics and Stochastic Analysis 
Volume 6 (1993), Issue 1, Pages 49-54
doi:10.1155/S104895339300005X

Uniqueness criterion for solution of abstract nonlocal Cauchy problem

L. Byszewski1,2

 1Florida Institute of Technology, Department of Applied Mathematics, 150 West University Blvd., Melbourne 32901-6988, Florida, USA
2Cracow University of Technology, Institute of Mathematics, Warszawska 24, Cracow 31-155 , Poland
Received 1 July 1992; Revised 1 October 1992

Abstract

The aim of the paper is to prove an uniqueness criterion for a solution of an abstract nonlocal Cauchy problem. A dissipative operator in the nonlocal problem and an arbitrary functional in the nonlocal condition are considered. The paper is a continuation of papers [1]-[3] and generalizes some results from [4].