<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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].</p></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].

Continuous Dependence of Mild Solutions on Initial Nonlocal Data, of the Nonlocal Semilinear Functional-Differential Evolution Cauchy Problems of the First and Second Order

Institute of Mathematics, 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 continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear...

Continuous Dependence of Mild Solutions on Initial Nonlocal Data, of the Nonlocal Semilinear Functional-Differential Evolution Cauchy Problems of the First and Second Order

Published Online: May 21, 2020

Page range: 141 - 148

Received: May 04, 2018

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

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

© 2020 Adam Bednarz et al., published by Sciendo

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

Continuous Dependence of Mild Solutions on Initial Nonlocal Data, of the Nonlocal Semilinear Functional-Differential Evolution Cauchy Problems of the First and Second Order

Published Online: May 21, 2020

Page range: 141 - 148

Received: May 04, 2018

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

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

© 2020 Adam Bednarz et al., published by Sciendo

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

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