<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The aim of the paper is to prove two theorems on the existence and uniqueness of mild and classical solutions of a semilinear functional-differential evolution second order equation together with nonlocal conditions. The theory of strongly continuous cosine families of linear operators in a Banach space is applied. The paper is based on publications [1–9] and is a generalization of paper [6].</p></abstract>

The aim of the paper is to prove two theorems on the existence and uniqueness of mild and classical solutions of a semilinear functional-differential evolution second order equation together with nonlocal conditions. The theory of strongly continuous cosine families of linear operators in a Banach space is applied. The paper is based on publications [1–9] and is a generalization of paper [6].

An abstract nonlocal functional-differential second order evolution problem

Faculty of Physics, Mathematics and Computer Science

Technical Transactions

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

{"article-title":"An abstract nonlocal functional-differential second order evolution problem"}

The aim of the paper is to prove two theorems on the existence and uniqueness of mild and classical solutions of a semilinear functional-differential evolution...

An abstract nonlocal functional-differential second order evolution problem

Published Online: May 23, 2020

Page range: 147 - 154

DOI: https://doi.org/10.4467/2353737XCT.17.012.6109

Keywords
nonlocal, second order, functional-differential, evolution problem, Banach space

© 2017 Ludwik Byszewski, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

An abstract nonlocal functional-differential second order evolution problem

Published Online: May 23, 2020

Page range: 147 - 154

DOI: https://doi.org/10.4467/2353737XCT.17.012.6109

Keywordsnonlocal, second order, functional-differential, evolution problem, Banach space

© 2017 Ludwik Byszewski, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

Keywords
nonlocal, second order, functional-differential, evolution problem, Banach space