Differential Inclusions in a Banach Space
By: by Alexander Tolstonogov
Series: Mathematics and Its Applications -- 524; Mathematics and Its Applications -- 524
Publisher: Springer Netherlands
Published: 2000
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 302
ISBN-13: 9789048155804; 9789401594905
Subjects: Differential Equations; Functional analysis; Mathematics; Mathematical optimization; Topology; Systems theory
Description: This monograph is devoted to the development of a unified approach for studying differential inclusions in a Banach space with non-convex right-hand side, a new branch of the classical theory of ordinary differential equations. Differential inclusions are now a mature field of mathematical activity, with their own methods, techniques, and applications, which range from economics to physics and biology. The current approach relies on ideas and methods from modern functional analysis, general topology, the theory of multifunctions, and continuous selectors. Audience: This volume will be of interest to researchers and postgraduate student whose work involves differential equations, functional analysis, topology, and the theory of set-valued functions.
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