Topological Structure of the Solution Set for Evolution Inclusions. 1st ed. 2017

種類:

電子ブック

責任表示:

by Yong Zhou, Rong-Nian Wang, Li Peng

出版情報:

Singapore : Springer Nature Singapore : Imprint: Springer, 2017

著者名:

• Zhou, Yong.
• Wang, Rong-Nian.
• Peng, Li.
• SpringerLink (Online service)

シリーズ名:

Developments in Mathematics ; 51

ISBN:

9789811066566 [9811066566]    

注記:

Preliminaries -- Evolution Inclusions with m-Dissipative Operator -- Evolution Inclusions with Hille-Yosida Operator -- Quasi-autonomous Evolution Inclusions -- Non-autonomous Evolution Inclusions and Control System -- Neutral Functional Evolution Inclusions -- Impulsive Evolution Inclusions -- Stochastic Evolution Inclusions -- Index.
This book systematically presents the topological structure of solution sets and attractability for nonlinear evolution inclusions, together with its relevant applications in control problems and partial differential equations. It provides readers the background material needed to delve deeper into the subject and explore the rich research literature. In addition, the book addresses many of the basic techniques and results recently developed in connection with this theory, including the structure of solution sets for evolution inclusions with m-dissipative operators; quasi-autonomous and non-autonomous evolution inclusions and control systems;evolution inclusions with the Hille-Yosida operator; functional evolution inclusions; impulsive evolution inclusions; and stochastic evolution inclusions. Several applications of evolution inclusions and control systems are also discussed in detail. Based on extensive research work conducted by the authors and other experts over the past four years, the information prese

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