Continuous dependence of mild solutions on initial nonlocal data, of the nonlocal semilinear functional-differential evolution Cauchy problems of the first and second order

Adam Bednarz; Ludwik Byszewski

Continuous dependence of mild solutions on initial nonlocal data, of the nonlocal semilinear functional-differential evolution Cauchy problems of the first and second order

Publication date: 25.05.2018

Technical Transactions, 2018, Volume 5 Year 2018 (115), pp. 141 - 148

https://doi.org/10.4467/2353737XCT.18.080.8562

Authors

Pobierz pełny tekst

PDF

Titles

Continuous dependence of mild solutions on initial nonlocal data, of the nonlocal semilinear functional-differential evolution Cauchy problems of the first and second order

Abstract

The aim of the paper is to prove two theorems on the continuous dependence of mild solutions, on initial

nonlocal data, of the nonlocal semilinear functional-differential evolution Cauchy problems of the first and

second orders. The paper is based on publications [1–10] and is a generalization of paper [5].

The aim of the paper is to prove two theorems on the continuous dependence of mild solutions, on initial

nonlocal data, of the nonlocal semilinear functional-differential evolution Cauchy problems of the first and

second orders. The paper is based on publications [1–10] and is a generalization of paper [5].

Keywords

evolution Cauchy problems, functional-differential problems, first and second order problems, continuous dependence of solutions, nonlocal conditions

Information

Information: Technical Transactions, 2018, Volume 5 Year 2018 (115), pp. 141 - 148

DOI: https://doi.org/10.4467/2353737XCT.18.080.8562

Article type: Original article

Titles:

Polish:

Continuous dependence of mild solutions on initial nonlocal data, of the nonlocal semilinear functional-differential evolution Cauchy problems of the first and second order

English:

Continuous dependence of mild solutions on initial nonlocal data, of the nonlocal semilinear functional-differential evolution Cauchy problems of the first and second order

Authors

Adam Bednarz

Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology

Ludwik Byszewski

https://orcid.org/0000-0001-7227-8990

Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology

Published at: 25.05.2018

Article status: Open

Licence: None

Percentage share of authors:

Adam Bednarz (Author) - 50%

Ludwik Byszewski (Author) - 50%

Article corrections:

Publication languages:

English

View count: 1290

Number of downloads: 908

<p> Continuous dependence of mild solutions on initial nonlocal data, of the nonlocal semilinear functional-differential evolution Cauchy problems of the first and second order</p>

Download xml