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Titlebook: Nonlinear Functional Evolutions in Banach Spaces; Ki Sik Ha Book 2003 Springer Science+Business Media Dordrecht 2003 Finite.Volume.banach

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書目名稱Nonlinear Functional Evolutions in Banach Spaces
編輯Ki Sik Ha
視頻videohttp://file.papertrans.cn/668/667518/667518.mp4
圖書封面Titlebook: Nonlinear Functional Evolutions in Banach Spaces;  Ki Sik Ha Book 2003 Springer Science+Business Media Dordrecht 2003 Finite.Volume.banach
描述There are many problems in nonlinear partial differential equations with delay which arise from, for example, physical models, biochemical models, and social models. Some of them can be formulated as nonlinear functional evolutions in infinite-dimensional abstract spaces. Since Webb (1976) considered autonomous nonlinear functional evo- lutions in infinite-dimensional real Hilbert spaces, many nonlinear an- alysts have studied for the last nearly three decades autonomous non- linear functional evolutions, non-autonomous nonlinear functional evo- lutions and quasi-nonlinear functional evolutions in infinite-dimensional real Banach spaces. The techniques developed for nonlinear evolutions in infinite-dimensional real Banach spaces are applied. This book gives a detailed account of the recent state of theory of nonlinear functional evolutions associated with accretive operators in infinite-dimensional real Banach spaces. Existence, uniqueness, and stability for ‘solutions‘ of nonlinear func- tional evolutions are considered. Solutions are presented by nonlinear semigroups, or evolution operators, or methods of lines, or inequalities by Benilan. This book is divided into four chapters.
出版日期Book 2003
關(guān)鍵詞Finite; Volume; banach spaces; chemistry; development; differential equation; equation; evolution; field; fun
版次1
doihttps://doi.org/10.1007/978-94-017-0365-9
isbn_softcover978-90-481-6204-8
isbn_ebook978-94-017-0365-9
copyrightSpringer Science+Business Media Dordrecht 2003
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Autonomous Nonlinear Functional Evolutions,aces. In Section 2.1 and Section 2.2 we consider the global existence and uniqueness of solutions with definitions. Section 2.3 and Section 2.4 deal with compactness methods and ..-space methods for existence of solutions, respectively. Section 2.5 is devoted to general methods for existence of solu
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,Non—Autonomous Nonlinear Functional Evolutions, Section 3.1 we study the existence of solutions by Kato’s methods applied to that of nonlinear evolutions. Section 3.2 deals with evolution operator methods in which the evolution operators are generated by the accretive operators. Section 3.3 investigates monotonicity methods, and Section 3.4 cont
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ccess, Janssen was able to undertake the construction of the great astrophysical observatory of which he had dreamed. It was at Meudon that he had it built..978-1-4899-9245-1978-1-4614-0697-6Series ISSN 0067-0057 Series E-ISSN 2214-7985
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Book 2003dimensional real Banach spaces. Existence, uniqueness, and stability for ‘solutions‘ of nonlinear func- tional evolutions are considered. Solutions are presented by nonlinear semigroups, or evolution operators, or methods of lines, or inequalities by Benilan. This book is divided into four chapters.
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