Functional equations with causal operators

C. Corduneanu041527186X, 9780415271868, 9780203281505, 9780203166376, 020316637X

Functional Equations with Causal Operators presents the connection between the equations with causal operators and classical types of functional equations that mathematicians will encounter in the literature. It provides basic theorems of existence and uniqueness of the solution and properties of solutions or families of solutions. This volume describes in detail the fundamentals of linear equations, stability theory and several applications and examples. The book is intended to provide basic theory of functional equations (including functional differential equations) with causal operators. These equations encompass most types of equations, which are used in applied science and engineering: ordinary differential equations, integral equations of the Volterra type, equations with delayed argument and integro-differential equations of the Volterra type.

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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