On nonlocal evolution problem for the equation of the first order

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

Abstracts

PL

The aim of the paper is to prove theorems about the existence and uniqueness of mild and classical solutions of a nonlocal semilinear functional-differential evolution Cauchy problem. The method of semigroups, the Banach fixed-point theorem and theorems (see [2]) about the existence and uniqueness of the classical solutions of the first-order differential evolution problems in a not necessarily reflexive Banach space are used to prove the existence and uniqueness of the solutions of the problems considered. The results obtained are based on publications [1–6].

Keywords

PL

evolution Cauchy problem, existence and uniqueness of the solutions, nonlocal conditions

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

Dates

online

2015-04-27

Contributors

author

Ludwik Byszewski

author

Teresa Winiarska