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The rapid development of the theories of Volterra integral and functional equations has been strongly promoted by their applications in physics, engineering and biology. This text shows that the theory of Volterra equations exhibits a rich variety of features not present in the theory of ordinary differential equations. The book is divided into three parts. The first considers linear theory and the second deals with quasilinear equations and existence problems for nonlinear equations, giving some general asymptotic results. Part III is devoted to frequency domain methods in the study of nonlinear equations. The entire text analyses n-dimensional rather than scalar equations, giving greater generality and wider applicability and facilitating generalizations to infinite-dimensional spaces. The book is generally self-contained and assumes only a basic knowledge of analysis. The many exercises illustrate the development of the theory and its applications, making this book accessible to researchers in all areas of integral and differential equations.

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Book Details

ISBN: 9780521372893
ISBN-10: 0521372895
Format: Hardback
(234mm x 156mm x 38mm)
Pages: 724
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 30-Mar-1990
Country of Publication: United Kingdom

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Books By Author G. Gripenberg

Volterra Integral and Functional Equations by G. Gripenberg

Volterra Integral and Functional Equations

Paperback, March 2009