Continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear evolution Cauchy problems
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RIS BIB ENDNOTEContinuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear evolution Cauchy problems
Publication date: 04.09.2017
Technical Transactions, 2017, Volume 9 Year 2017 (114), pp. 151 - 158
https://doi.org/10.4467/2353737XCT.17.155.7167Authors
Continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear evolution Cauchy problems
W artykule udowodniono dwa twierdzenia o ciągłej zależności rozwiązań całkowych od nielokalnych warunków początkowych, semiliniowych nielokalnych zagadnień Cauchy’ego. W tym celu zastosowano
metodę półgrup i teorię rodziny cosinus w przestrzeniach Banacha. Artykuł bazuje na publikacjach [1–6]
i jest pewnym uogólnieniem publikacji [3].
[1] Byszewski L., Existence and uniqueness of mild and classical solutions of semilinear functionaldifferential evolution nonlocal Cauchy problem, Selected Problems of Mathematics, Cracow University of Technology, Anniversary Issue 6, 1995, 25–33.
[2] Byszewski L., Winiarska T., An abstract nonlocal second order evolution problem, Opuscula Mathematica 32.1, 2012, 75–82.
[3] Byszewski L., Winiarska T., Continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal evolution Cauchy problems, Technical Transactions, 1-NP/2013, 27–32.
[4] Pazy A., Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, Berlin, Heidelberg, Tokyo 1983.
[5] Szarski J., Differential Inequalities, Polish Scientific Publishers, Warszawa 1967.
[6] Winiarska T., Differential Equations with Parameters, Monograph 68, Cracow University of Technology, Kraków 1988.
Information: Technical Transactions, 2017, Volume 9 Year 2017 (114), pp. 151 - 158
Article type: Original article
Titles:
Continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear evolution Cauchy problems
Continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear evolution Cauchy problems
Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology
Published at: 04.09.2017
Article status: Open
Licence: None
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