ON NONLOCAL EVOLUTION FUNCTIONAL-DIFFERENTIAL PROBLEM IN A BANACH SPACE

• Authors: Ludwik Byszewski , Teresa Winiarska
• Languages of publication: PL

Abstracts

PL

The aim of this paper is to prove two theorems on the existence and uniqueness of mild and classical solutions of a nonlocal semilinear functional-differential evolution Cauchy problem in a Banach space. The method of semigroups, the Banach fixed-point theorem and the Bochenek theorem (see [3]) about the existence and uniqueness of the classical solution of the first order differential evolution problem in a not necessarily reflexive Banach space are used to prove the existence and uniqueness of the solutions of the considered problem. The results are based on publications [1 - 8].

Keywords

PL

evolution problem, functional-differential problem, nonlocal problem

• Publisher: [unknown2]
• Journal: Czasopismo Techniczne
• Year: -

Dates

online

2015-04-09

Contributors

author

Ludwik Byszewski

author

Teresa Winiarska