Functional Equations with Causal Operators

✍ Scribed by Corduneanu C.

Publisher: CRC Press Inc
Year: 2002
Tongue: English
Leaves: 185
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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

✦ 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

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