1.

Record Nr.

UNINA9910254308303321

Autore

Zhou Yong

Titolo

Topological Structure of the Solution Set for Evolution Inclusions / / by Yong Zhou, Rong-Nian Wang, Li Peng

Pubbl/distr/stampa

Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2017

ISBN

981-10-6656-6

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (XIV, 269 p.)

Collana

Developments in Mathematics, , 2197-795X ; ; 51

Disciplina

515.352

Soggetti

Differential equations

Dynamical systems

Probabilities

Differential Equations

Dynamical Systems

Probability Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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 presented is cutting-edge and comprehensive. As such, the book fills an important gap in the body of literature on the structure of evolution inclusions and its applications.