TY  - BOOK
AU  - Graef,John R.
AU  - Henderson,Johnny
AU  - Ouahab,Abdelghani
ED  - Taylor and Francis.
TI  - Topological Methods for Differential Equations and Inclusions
T2  - Chapman & Hall/CRC Monographs and Research Notes in Mathematics
SN  - 9780429446740
AV  - QA372 
U1  - 515/.35 
PY  - 2018///]
CY  - Boca Raton, FL
PB  - CRC Press
KW  - Differential equations
KW  - Topology
KW  - Differential inclusions
KW  - MATHEMATICS / Differential Equations
KW  - bisacsh
KW  - MATHEMATICS / Geometry / General
KW  - Fixed Point Theorems
KW  - Generalized metric space
KW  - Impulsive Differential Equations
KW  - Measurable Multifunctions
KW  - Multi-valued Analysis
KW  - Electronic books
N1  - Includes bibliographical references and index; Introduction --; 1 Background in Multi-valued Analysis --; 2 Hausdorff-Pompeiu Metric Topology --; 3 Measurable Multifunctions --; 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 fixed point theorem --; 10 Semigroups --; 11 Systems of Impulsive Differential Equations on the Half-line --; 12 Differential Inclusions --; 13 Random Systems of Differential Equations --; 14 Random Fractional Differential Equations via Hadamard Fractional Derivative --; 15 Existence Theory for Systems of Discrete Equations --; 16 Discrete Inclusions --; 17 Semilinear System of Discrete Equations --; 18 Discrete Boundary Value Problems --; 19 Appendix; Also available in print format
N2  - 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
UR  - https://www.taylorfrancis.com/books/9780429446740
ER  -