Yong Zhou, Rong-Nian Wang, Li Peng

Topological Structure of the Solution Set for Evolution Inclusions (eBook, PDF)

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Springer Nature Singapore
• Seitenzahl: 269
• Erscheinungstermin: 31. Oktober 2017
• Englisch
• ISBN-13: 9789811066566
• Artikelnr.: 53064032

Autorenporträt

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.

Inhaltsangabe

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.

Rezensionen

"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)