Topological structure of the solution set for evolution inclusions. (2017)

• Record Type: Book
• Further Information: Note: Yong Zhou, Rong-Nian Wang, Li Peng.
• Authors: Zhou, Yong, 1964-; Wang, Rong-Nian; Peng, Li
• Contents: ""Preface""; ""Contents""; ""Introduction""; ""1 Preliminaries""; ""1.1 Basic Facts and Notations""; ""1.2 Multivalued Analysis""; ""1.2.1 Multivalued Mappings""; ""1.2.2 Measure of Noncompactness""; ""1.2.3 RÎ-́Set""; ""1.2.4 Inverse Limit Method""; ""1.3 Multivalued Semiflows""; ""1.4 Pullback Attractor""; ""1.5 Evolution System""; ""1.6 Semigroups""; ""1.6.1 C0-Semigroup""; ""1.6.2 Analytic Semigroup""; ""1.6.3 Integrated Semigroup""; ""1.7 Weak Compactness of Sets and Operators""; ""1.8 Stochastic Process""; ""1.8.1 Random Variables""; ""1.8.2 Stochastic Calculus"" ""2 Evolution Inclusions with m-Dissipative Operator""""2.1 Introduction""; ""2.2 The m-Dissipative Operators and C0-Solution""; ""2.3 Topological Structure of Solution Set""; ""2.3.1 Compact Intervals Case""; ""2.3.2 Noncompact Intervals Case""; ""2.4 Nonlocal Cauchy Problem""; ""2.5 Applications""; ""3 Evolution Inclusions with Hille -- Yosida Operator""; ""3.1 Introduction""; ""3.2 Topological Structure of Solution Set""; ""3.2.1 Existence of Integral Solution""; ""3.2.2 Structure of Solution Set""; ""3.2.3 Applications""; ""3.3 Global Attractor""; ""3.3.1 Existence of Integral Solution"" ""3.3.2 Existence of Global Attractor""""3.3.3 Applications""; ""4 Quasi-autonomous Evolution Inclusions""; ""4.1 Introduction""; ""4.2 Generalized Solutions""; ""4.2.1 Limit Solutions""; ""4.2.2 Weak Solutions""; ""4.2.3 One-Sided Perron Condition""; ""4.3 Relaxation""; ""4.3.1 Relaxation Results""; ""4.3.2 Examples""; ""4.4 Pullback Attractor""; ""4.4.1 Solvability""; ""4.4.2 Existence of Pullback Attractor""; ""4.4.3 Applications""; ""5 Non-autonomous Evolution Inclusions and Control System""; ""5.1 Introduction""; ""5.2 Nonhomogeneous Cauchy Problem"" ""5.3 Topological Structure of Solution Set""""5.3.1 Evolution Inclusions""; ""5.3.2 Control Problems""; ""5.4 Applications""; ""5.4.1 An Existence Result""; ""5.4.2 Invariance of Reachability Set""; ""5.5 Examples""; ""6 Neutral Functional Evolution Inclusions""; ""6.1 Introduction""; ""6.2 Topological Structure of Solution Set""; ""6.2.1 Compact Semigroup Case""; ""6.2.2 Noncompact Semigroup Case""; ""7 Impulsive Evolution Inclusions""; ""7.1 Introduction""; ""7.2 Existence and Weak Compactness""; ""7.2.1 Compact Operator Case""; ""7.2.2 Noncompact Operator Case"" ""7.3 Topological Structure of Solution Set""""7.3.1 Compact Interval Case""; ""7.3.2 Noncompact Intervals Case""; ""8 Stochastic Evolution Inclusions""; ""8.1 Introduction""; ""8.2 Statement of the Problem""; ""8.3 Existence via Weak Topology""; ""8.4 Topological Structure of Solution Set""; ""8.4.1 Compact Operator Case""; ""8.4.2 Noncompact Operator Case""; "" References""
• Publisher Details: Singapore : Springer
• Publication Date: 2017
• Extent: 1 online resource (xiv, 269 pages)
• Subjects: 515/.35; Differential inclusions; MATHEMATICS / Calculus; MATHEMATICS / Mathematical Analysis; Differential inclusions; Mathematics; Ordinary Differential Equations; Dynamical Systems and Ergodic Theory; Probability Theory and Stochastic Processes; Electronic books
• Languages: English
• ISBNs: 9789811066566; 9811066566
• Related ISBNs: 9789811066559; 9811066558
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed November 8, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.