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    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
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Handbook of Multivalued Analysis: Volume II: Applications

Handbook of Multivalued Analysis: Volume II: Applications

Shouchuan Hu
Papageorgiou, Nikolaos S.

Hardcover

Series: Mathematics and Its Applications, Book 500

General Mathematics

ISBN10: 0792361644
ISBN13: 9780792361640
Publisher: Springer Nature
Published: Jan 31 2000
Pages: 932
Weight: 3.28
Height: 1.94 Width: 6.14 Depth: 9.21
Language: English
In volume I we developed the tools of Multivalued Analysis. In this volume we examine the applications. After all, the initial impetus for the development of the theory of set-valued functions came from its applications in areas such as control theory and mathematical economics. In fact, the needs of control theory, in particular the study of systems with a priori feedback, led to the systematic investigation of differential equations with a multi valued vector field (differential inclusions). For this reason, we start this volume with three chapters devoted to set-valued differential equations. However, in contrast to the existing books on the subject (i. e. J. -P. Aubin - A. Cellina: Differential Inclusions, Springer-Verlag, 1983, and Deimling: Multivalued Differential Equations, W. De Gruyter, 1992), here we focus on Evolution Inclusions, which are evolution equations with multi- valued terms. Evolution equations were raised to prominence with the development of the linear semigroup theory by Hille and Yosida initially, with subsequent im- portant contributions by Kato, Phillips and Lions. This theory allowed a successful unified treatment of some apparently different classes of nonstationary linear par- tial differential equations and linear functional equations. The needs of dealing with applied problems and the natural tendency to extend the linear theory to the nonlinear case led to the development of the nonlinear semigroup theory, which became a very effective tool in the analysis of broad classes of nonlinear evolution equations.

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