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Topological Structure of the Solution Set for Evolution Inclusions: Developments in Mathematics, cartea 51

Autor Yong Zhou, Rong-Nian Wang, Li Peng
en Limba Engleză Hardback – 9 noi 2017
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.

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Specificații

ISBN-13: 9789811066559
ISBN-10: 9811066558
Pagini: 284
Ilustrații: XIV, 269 p.
Dimensiuni: 160 x 241 x 21 mm
Greutate: 0.54 kg
Ediția:1st edition 2017
Editura: Springer
Colecția Developments in Mathematics
Seria Developments in Mathematics

Locul publicării:Singapore, Singapore

Cuprins

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.

Recenzii

“The book offers a comprehensive, nicely documented study of the above-mentioned problems, based on recent results in the literature on the subject. It will be very useful for postgraduate students and researchers alike interested in topological methods for differential inclusions.” (Irene Benedetti, Mathematical Reviews, November, 2018)

“This book will be useful to researchers and graduate students interested on the structure of the solution sets of evolution inclusion and its applications.” (Sotiris K. Ntouyas, zbMATH 1382.34001, 2018)

Notă biografică

Xianglin Gu Professor, Dean of College of Civil Engineering, Tongji University Education Doctor of Philosophy. 1996. Department of Building Engineering, Tongji University Professional experience Professor (7/2000 to Now): Department of Building Engineering, Tongji University Visiting scholar (1/1998 to 8/1998): New Jersey Institute of Technology Visiting scholar (9/1998 to 9/1998): University of Illinois at Chicago Awards "Structural assessment and appraisal theories and technologies for life cycle maintenance of buildings." First prize of Advances in science and technology of Shanghai metropolitan, 2009 "Integration and demonstration of conservation-based campus development technologies." First prize of the Science and Technology Progress Award for High Schools, 2008 "Structural assessment and appraisal standards for existing buildings." Third prize of Advances in science and technology of Shanghai metropolitan,2006 "Theories and application technologies of structural assessment and appraisal of existing buildings." Second prize of the Science and Technology Progress Award for High Schools, 2006 Xianyu Jin Professor, College of Civil Engineering and Architecture, Zhejiang University Awards "Structural assessment and appraisal theories and technologies for life cycle maintenance of buildings." First prize of Advances in science and technology of Shanghai metropolitan, 2009 "Theories and application technologies of structural assessment and appraisal of existing buildings." Second prize of the Science and Technology Progress Award for High Schools, 2006
Yong Zhou
Professional experience Lecturer (9/2005 to Now): Department of Building Engineering, Tongji UniversityAssistant Engineer (6/1998 to 8/1999), Tianjin Architects and Consulting Engineers

Textul de pe ultima copertă

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.

Caracteristici

Systematically presents topological theory and dynamics for evolution inclusions, together with relevant applications Covers evolution inclusions with m-dissipative operators, with the Hille-Yosida operator, with time delay, and with impulses, as well as stochastic evolution inclusions Fills an important gap in the body of literature on the topological theory and dynamics of evolution inclusions and their applications Includes supplementary material: sn.pub/extras