<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 initial conditions. The theory of strongly continuous cosine families of linear operators in a Banach space is applied. The paper is based on publications [1–12] and is a generalization of paper [7].</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 initial conditions. The theory of strongly continuous cosine families of linear operators in a Banach space is applied. The paper is based on publications [1–12] and is a generalization of paper [7].

An Abstract Nonlocal Functional-Differential Second Order Evolution Cauchy Problem

Faculty of Physics Mathematics and Computer Science

Technical Transactions

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

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 Cauchy Problem

Publié en ligne: 21 mai 2020

Pages: 139 - 147

Reçu: 22 mars 2018

DOI: https://doi.org/10.4467/2353737XCT.18.062.8374

Mots clés
nonlocal, second order, functional-differential, evolution Cauchy problem, Banach spaces

© 2020 Adam Bednarz et al., 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 Cauchy Problem

Publié en ligne: 21 mai 2020

Pages: 139 - 147

Reçu: 22 mars 2018

DOI: https://doi.org/10.4467/2353737XCT.18.062.8374

Mots clésnonlocal, second order, functional-differential, evolution Cauchy problem, Banach spaces

© 2020 Adam Bednarz et al., published by Sciendo

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

Mots clés
nonlocal, second order, functional-differential, evolution Cauchy problem, Banach spaces