Functional Equations with Causal Operators

Hardcover
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Author: Constantin Corduneanu

ISBN-10: 041527186X

ISBN-13: 9780415271868

Category: Mathematical Equations - Functional

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Functional equations encompass most of the equations 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. The basic theory of functional equations includes functional differential equations with causal operators. Functional Equations with Causal Operators explains the connection between equations with causal operators and the classical types of functional equations encountered by mathematicians and engineers. It details the fundamentals of linear equations and stability theory and provides several applications and examples.

Introduction to the SeriesPreface1Introduction12Auxiliary concepts103Existence theory for functional equations with causal operators314Linear and quasilinear equations with causal operators795Stability theory1016Neutral functional equations1237Miscellanea (applications and generalizations)137Appendix155References160Index167