Initial time value problem solutions for evolution inclusions with Sk type operators

For a large class of operator inclusions, including those generated by maps of Sk type, we obtain a general theorem on existence of solutions. We apply this result to some particular examples. This theorem is proved using the method of Faedo-Galerkin.

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Bibliographic Details
Date:2009
Main Authors: Kasyanov, P.O., Mel'nik, V.S., Toscano, S.
Format: Article
Language:English
Published: Навчально-науковий комплекс "Інститут прикладного системного аналізу" НТУУ "КПІ" МОН та НАН України 2009
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/12392
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Initial time value problem solutions for evolution inclusions with Sk type operators / P.O. Kasyanov, V.S. Mel'nik, S. Toscano // Систем. дослідж. та інформ. технології. — 2009. — № 1. — С. 116-130. — Бібліогр.: 31 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:For a large class of operator inclusions, including those generated by maps of Sk type, we obtain a general theorem on existence of solutions. We apply this result to some particular examples. This theorem is proved using the method of Faedo-Galerkin.