<p>The papers collected in this volume are contributions to the 33rd session of the Seminaire de Mathematiques Superieures (SMS) on "Topological Methods in Differential Equations and Inclusions". This session of the SMS took place at the Universite de Montreal in July 1994 and was a NATO Advanced St
Topological methods for differential equations and inclusions
β Scribed by Graef, John R.; Henderson, Johnny; Ouahab, Abdelghani
- Publisher
- CRC Press
- Year
- 2019
- Tongue
- English
- Leaves
- 375
- Series
- Monographs and research notes in mathematics
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Content: Introduction1 Background in Multi-valued Analysis2 Hausdorff-Pompeiu Metric Topology3 Measurable Multifunctions4 Continuous Selection Theorems5 Linear Multivalued Operators6 Fixed Point Theorems7 Generalized Metric and Banach Spaces8 Fixed Point Theorems in Vector Metric and Banach Spaces9 Random fixed point theorem10 Semigroups11 Systems of Impulsive Differential Equations on the Half-line12 Differential Inclusions13 Random Systems of Differential Equations 14 Random Fractional Differential Equations via Hadamard Fractional Derivative15 Existence Theory for Systems of Discrete Equations16 Discrete Inclusions17 Semilinear System of Discrete Equations18 Discrete Boundary Value Problems19 Appendix
β¦ Subjects
Differential equations.;Topology.;Differential inclusions.
π SIMILAR VOLUMES
<p><em>Topological Methods for Differential Equations and Inclusions</em> covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to pr
1. Topological structure of fixed point sets -- 2. Existence theory for differential equations and inclusions -- 3. Solution sets for differential equations and inclusions -- 4. Impulsive differential inclusions : existence and solution sets -- 5. Preliminary notions of topology and homology -- 6.
This 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 techni