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

Bednarz, Adam; Byszewski, Ludwik

doi:10.4467/2353737XCT.18.080.8562

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

Technical Transactions

Volume 115 (2018): Issue 5 (May 2018)

By: Adam Bednarz and Ludwik Byszewski

Open Access

|May 2020

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].

References

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DOI: https://doi.org/10.4467/2353737XCT.18.080.8562 | Journal eISSN: 2353-737X | Journal ISSN: 0011-4561

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Language: English

Page range: 141 - 148

Submitted on: May 4, 2018

Published on: May 21, 2020

Published by: Cracow University of Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

evolution Cauchy problems,

functional-differential problems,

first and second order problems,

continuous dependence of solutions,

nonlocal conditions

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© 2020 Adam Bednarz, Ludwik Byszewski, published by Cracow University of Technology
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

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