04101nam 2200781 a 450 991078601280332120230803025238.03-11-029356-010.1515/9783110293562(CKB)2670000000327968(EBL)1075585(OCoLC)827212698(SSID)ssj0000908803(PQKBManifestationID)11582434(PQKBTitleCode)TC0000908803(PQKBWorkID)10901637(PQKB)10767550(MiAaPQ)EBC1075585(DE-B1597)178298(OCoLC)853263802(OCoLC)877442616(DE-B1597)9783110293562(Au-PeEL)EBL1075585(CaPaEBR)ebr10649256(EXLCZ)99267000000032796820130117d2013 uy 0engurnn#---|u||utxtccrSolution sets for differential equations and inclusions[electronic resource] /Smaïl Djebali, Lech Gorniewicz, Abdelghani OuahabBerlin De Gruyterc20131 online resource (474 p.)De Gruyter series in nonlinear analysis and applications,0941-813X ;18Description based upon print version of record.3-11-029344-7 Includes bibliographical references and index.Front matter --Preface --Notations --Contents --Chapter 1. Topological structure of fixed point sets --Chapter 2. Existence theory for differential equations and inclusions --Chapter 3. Solution sets for differential equations and inclusions --Chapter 4. Impulsive differential inclusions: existence and solution sets --Chapter 5. Preliminary notions of topology and homology --Chapter 6. Background in multi-valued analysis --Appendix --References --IndexThis monograph gives a systematic presentation of classical and recent results obtained in the last couple of years. It comprehensively describes the methods concerning the topological structure of fixed point sets and solution sets for differential equations and inclusions. Many of the basic techniques and results recently developed about this theory are presented, as well as the literature that is disseminated and scattered in several papers of pioneering researchers who developed the functional analytic framework of this field over the past few decades. Several examples of applications relating to initial and boundary value problems are discussed in detail. The book is intended to advanced graduate researchers and instructors active in research areas with interests in topological properties of fixed point mappings and applications; it also aims to provide students with the necessary understanding of the subject with no deep background material needed. This monograph fills the vacuum in the literature regarding the topological structure of fixed point sets and its applications.De Gruyter Series in Nonlinear Analysis and ApplicationsDifferential equationsDifferential inclusionsDifferential Equation.Differential Inclusion.Fixed Point Sets.Functional Differential Inclusions.Impulsive Differential Equation.Impulsive Differential Inclusion.Impulsive Semilinear Differential Equation.Impulsive Semilinear Differential Inclusion.Mild Solution.Semigroup.Solution Set.Differential equations.Differential inclusions.520SK 520rvkDjebali Smaïl1483806Górniewicz Lech726786Ouahab Abdelghani1483807MiAaPQMiAaPQMiAaPQBOOK9910786012803321Solution sets for differential equations and inclusions3702102UNINA