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Title Condensing multivalued maps and semilinear differential inclusions in Banach spaces / Mikhail Kamenskii, Valeri Obukhovskii, Pietro Zecca.
Imprint Berlin ; New York : W. de Gruyter, 2001.


 Internet  Electronic Book    AVAILABLE
Description 1 online resource (xi, 231 pages)
Series De Gruyter series in nonlinear analysis and applications, 0941-813X ; 7
De Gruyter series in nonlinear analysis and applications ; 7. 0941-813X
Bibliog. Includes bibliographical references (pages 213-228) and index.
Note Available only to authorized UTEP users.
Subject Set-valued maps.
Differential inclusions.
Banach spaces.
Contents "Introduction"; "1 Multivalued maps: general properties"; "1.1 Continuity of multimaps"; "1.2 Operations on multimaps. Selections and approximations"; "1.3 Measurable multimaps and the superposition multioperator"; "Bibliographic notes"; "2 Measures of noncompactness and condensing multimaps"; "2.1 Measures of noncompactness"; "2.2 Condensing multimaps"; "Bibliographic notes"; "3 Topological degree theory for condensing multifields"; "3.1 The relative topological degree and fixed points of compact multimaps"; "3.2 Topological degree for condensing multifields."
"3.3 The evaluation of the degree""3.4 The topological degree for condensing nonconvex-valued multimaps"; "3.5 Some properties of the fixed points set"; "3.6 Solvability of systems of inclusions with condensing multioperators"; "Bibliographic notes"; "4 Semigroups and measures of noncompactness"; "4.1 Semigroups: general facts"; "4.2 Measures of noncompactness in function spaces: measurability and integrability"; "4.3 Condensing semigroups"; "Bibliographic notes"; "5 Semilinear differential inclusions: initial problem"; "5.1 Integral multioperator."
"5.2 Existence and continuous dependence theorems""5.3 The structure of the solutions set"; "5.4 The averaging principle"; "5.5 On inclusions with almost lower semicontinuous nonlinearities"; "Bibliographic notes"; "6 Semilinear inclusions: periodic problems"; "6.1 The integral multioperator for a periodic problem"; "6.2 The averaging principle for a periodic problem"; "6.3 The translation multioperator"; "Bibliographic notes"; "Bibliography"; "Index."
Other Author Obukhovskii, Valeri, 1947-
Zecca, P. (Pietro)
Other Title Print version: Kamenskii, Mikhail. Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces. Meuchen : De Gruyter, ©2011 9783110169898