Functional Equations with Causal Operators

Corduneanu C.9780203166376, 0-203-16637-X

Written for science and engineering students, this graduate textbook investigates functional differential equations involving causal operators, which are also known as non-anticipative or abstract Volterra operators. Corduneanu (University of Texas, emeritus) develops the existence and stability theories for functional equations with causal operators, and the theories behind both linear and neutral functional equations with causal operators. The last chapter applies the theory to two problems in optimal control

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Table of contents :
BookCover……Page 1
Half-Title……Page 2
Title……Page 4
Copyright……Page 5
Contents……Page 6
Introduction to the Series……Page 8
Preface……Page 10
1 Introduction……Page 14
2 Auxiliary concepts……Page 23
3 Existence theory for functional equations with causal operators……Page 44
4 Linear and quasilinear equations with causal operators……Page 92
5 Stability theory……Page 114
6 Neutral functional equations……Page 136
7 Miscellanea (applications and generalizations)……Page 150
Appendix Almost periodic solutions to neutral functional equations……Page 168
References……Page 173
Index……Page 180