<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The aim of the paper is to prove two theorems on continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear evolution Cauchy problems. For this purpose, the method of semigroups and the theory of cosine family in Banach spaces are applied. The paper is based on publications [1–6] and is a generalization of paper [3].</p></abstract>

The aim of the paper is to prove two theorems on continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear evolution Cauchy problems. For this purpose, the method of semigroups and the theory of cosine family in Banach spaces are applied. The paper is based on publications [1–6] and is a generalization of paper [3].

Continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear evolution cauchy problems

Faculty of Physics, Mathematics and Computer Science

Technical Transactions

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The aim of the paper is to prove two theorems on continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear evolution Cauchy...

Continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear evolution cauchy problems

Publié en ligne: 29 mai 2020

Pages: 151 - 158

DOI: https://doi.org/10.4467/2353737XCT.17.155.7167

Mots clés
semilinear evolution Cauchy problems, continuous dependence of solutions, nonlocal conditions

© 2017 Ludwik Byszewski, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear evolution cauchy problems

Publié en ligne: 29 mai 2020

Pages: 151 - 158

DOI: https://doi.org/10.4467/2353737XCT.17.155.7167

Mots cléssemilinear evolution Cauchy problems, continuous dependence of solutions, nonlocal conditions

© 2017 Ludwik Byszewski, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
semilinear evolution Cauchy problems, continuous dependence of solutions, nonlocal conditions