Topological Methods for Differential Equations and Inclusions

Topological Methods for Differential Equations and Inclusions

Ouahab, Abdelghani; Graef, John R.; Henderson, Johnny

Taylor & Francis Ltd

10/2018

360

Dura

Inglês

9781138332294

15 a 20 dias

480

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Introduction. 1 Background in Multi-valued Analysis. 2 Hausdor?-Pompeiu Metric Topology. 3 Measurable Multifunctions. Measurable selection. 4 Continuous Selection Theorems. 5 Linear Multivalued Operators. 6 Fixed Point Theorems. 7 Generalized Metric and Banach Spaces. 8 Fixed Point Theorems in Vector Metric and Banach Spaces. 9 Random ?xed point theorem. 10 Semigroups. 11 Systems of Impulsive Di?erential Equations on the Half-line. 12 Di?erential Inclusions. 13 Random Systems of Di?erential Equations. 14 Random Fractional Di?erential Equations via Hadamard Fractional Derivatives. 15 Existence Theory for Systems of Discrete Equations. 16 Discrete Inclusions. 17 Semilinear System of Discrete Equations. 18 Discrete Boundary Value Problems. 19 Appendix.
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Multivalued Maps;Multi-valued Analysis;Banach Space;Measurable Multifunctions;Metric Space;Fixed Point Theorems;Multi-valued Maps;Generalized metric space;Closed Graph;Impulsive Differential Equations;Multivalued Operator;Cauchy Sequence;Nonempty Convex Compact Subset;Separable Banach Space;Convex Subset;Random Operator;Generalized Banach Space;Topological Vector Space;Locally Convex Spaces;Equicontinuous Sets;Normed Space;Fractional Derivative;Separable Metric Space;Complete Separable Metric Space;Nonlocal Boundary;Topological Space;Continuous Selection;Measurable Selection;Complete Measurable Space;Compact Convex Subset