LEADER 03463nam 22005655 450 001 9910254308303321 005 20251202120124.0 010 $a981-10-6656-6 024 7 $a10.1007/978-981-10-6656-6 035 $a(CKB)4100000001038931 035 $a(DE-He213)978-981-10-6656-6 035 $a(MiAaPQ)EBC5117956 035 $a(PPN)221248781 035 $a(EXLCZ)994100000001038931 100 $a20171101d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTopological Structure of the Solution Set for Evolution Inclusions /$fby Yong Zhou, Rong-Nian Wang, Li Peng 205 $a1st ed. 2017. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2017. 215 $a1 online resource (XIV, 269 p.) 225 1 $aDevelopments in Mathematics,$x2197-795X ;$v51 311 08$a981-10-6655-8 320 $aIncludes bibliographical references and index. 327 $aPreliminaries -- 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. 330 $aThis book systematically presents the topological structure of solution sets and attractability for nonlinear evolution inclusions, together with its relevant applications in control problems and partial differential equations. It provides readers the background material needed to delve deeper into the subject and explore the rich research literature. In addition, the book addresses many of the basic techniques and results recently developed in connection with this theory, including the structure of solution sets for evolution inclusions with m-dissipative operators; quasi-autonomous and non-autonomous evolution inclusions and control systems;evolution inclusions with the Hille-Yosida operator; functional evolution inclusions; impulsive evolution inclusions; and stochastic evolution inclusions. Several applications of evolution inclusions and control systems are also discussed in detail. Based on extensive research work conducted by the authors and other experts over the past four years, the information presented is cutting-edge and comprehensive. As such, the book fills an important gap in the body of literature on the structure of evolution inclusions and its applications. 410 0$aDevelopments in Mathematics,$x2197-795X ;$v51 606 $aDifferential equations 606 $aDynamical systems 606 $aProbabilities 606 $aDifferential Equations 606 $aDynamical Systems 606 $aProbability Theory 615 0$aDifferential equations. 615 0$aDynamical systems. 615 0$aProbabilities. 615 14$aDifferential Equations. 615 24$aDynamical Systems. 615 24$aProbability Theory. 676 $a515.352 700 $aZhou$b Yong$4aut$4http://id.loc.gov/vocabulary/relators/aut$0761216 702 $aWang$b Rong-Nian$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aPeng$b Li$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910254308303321 996 $aTopological Structure of the Solution Set for Evolution Inclusions$92141281 997 $aUNINA