Topological Methods for Differential Equations and Inclusions
Published on 25. September 2018
374 pages
978-0-429-82261-2 (ISBN)
Description
Topological Methods for Differential Equations and Inclusions 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 prove existence theorems in optimal control theory. Since the dynamics of economic, social, and biological systems are multi-valued, differential inclusions serve as natural models in macro systems with hysteresis.
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Product notice
Reflowable
Illustrations
1 Tables, black and white
File size
1,62 MB
ISBN-13
978-0-429-82261-2 (9780429822612)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
John R. Graef | Johnny Henderson | Abdelghani Ouahab
Topological Methods for Differential Equations and Inclusions
Book
10/2018
1st Edition
CRC Press
€237.70
Shipment within 10-20 days
Persons
John R. Graef is professor of mathematics at the University of Tennessee at Chattanooga and previously was on the faculty at Mississippi State University.
Johnny Henderson is distinguished professor of mathematics at Baylor University. He also has held faculty positions at Auburn University and the Missouri University of Science and Technology. He is an Inaugural Fellow of the American Mathematical Society.
Abdelghani Ouahab is professor of Mathematics, Laboratory of Mathematics, Djilali-Liab\'es University Sidi Bel Abb\'es , Algeria
Each of the authors of this book has extensive research interests, including: boundary value problems for ordinary and functional differential equations and inclusions; difference equations; impulsive systems; fractional equations; dynamic equations on time scales; integral equations; boundary value problems; nonlinear oscillations, and applications to biological systems; functional differential equations and dynamic equations on time scales, along with extensions and generalizations involving multivalued analysis, and as well as in fractional analogues of those topics.
Johnny Henderson is distinguished professor of mathematics at Baylor University. He also has held faculty positions at Auburn University and the Missouri University of Science and Technology. He is an Inaugural Fellow of the American Mathematical Society.
Abdelghani Ouahab is professor of Mathematics, Laboratory of Mathematics, Djilali-Liab\'es University Sidi Bel Abb\'es , Algeria
Each of the authors of this book has extensive research interests, including: boundary value problems for ordinary and functional differential equations and inclusions; difference equations; impulsive systems; fractional equations; dynamic equations on time scales; integral equations; boundary value problems; nonlinear oscillations, and applications to biological systems; functional differential equations and dynamic equations on time scales, along with extensions and generalizations involving multivalued analysis, and as well as in fractional analogues of those topics.
Content
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.
