Continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear evolution cauchy problems
| 29. Mai 2020
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Online veröffentlicht: 29. Mai 2020
Seitenbereich: 151 - 158
DOI: https://doi.org/10.4467/2353737XCT.17.155.7167
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© 2017 Ludwik Byszewski, published by Sciendo
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 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].