Topological Structure of the Solution Set for Evolution Inclusions

Yong Zhou

ISBN 10: 981134924X / ISBN 13: 9789811349249

Published by Springer, Springer, 2018

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9789811349249

Bibliographic Details

• Title: Topological Structure of the Solution Set for Evolution Inclusions
• Publisher: Springer, Springer
• Publication Date: 2018
• Language: English
• ISBN 10: 981134924X
• ISBN 13: 9789811349249
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 16D millimeters 235 millimeters width by 155 millimeters height by 16 millimeters depth
• Weight: 435 grams

About this title

Synopsis

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

About the Author

Yong Zhou is a Professor at the Xiangtan University from Hunan, P.R. China. He is an associate editor of six mathematical journals and a guest editor of twelve special issues of international journals indexed in the Science Citation Index (SCI). His research fields include fractional differential equation, evolution equations and inclusions, control theory of differential equations. Zhou has published 200 papers in these fields, and has coauthored 5 related published monographs. Professor Zhou was selected in 2014, 2015 and 2016 as one of the Highly Cited Researchers in Mathematics.
 
Rong-Nian Wang obtained his PhD (2006) in Mathematics from the University of Science and Technology of China, Hefei, China. In 2015, he joined the Department of Mathematics at the Shanghai Normal University, Shanghai, China as a faculty member, where he is now a Professor of Mathematics. His research interests are in the qualitative theory of partial differential equations, abstract evolution equations and inclusions, infinite-dimensional dynamical systems. He has published about 30 papers, partly in the journals such as “Mathematische Annalen”, “Journal of Functional Analysis” and “Journal of Differential Equations”.

Li Peng received her MS and PhD degrees in Mathematics from Xiangtan University, Hunan, P.R. China. She is now a postdoctoral fellow at the Xiangtan University. Her research interests are in the theory of fractional partial differential equations, abstract evolution equations and inclusions.