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Volterra Integral and Functional Equations

Volterra Integral and Functional Equations

Paperback

Series: Encyclopedia of Mathematics and Its Applications, Book 34

CalculusProbability & Statistics

ISBN10: 0521103061
ISBN13: 9780521103060
Publisher: Cambridge
Published: Mar 19 2009
Pages: 724
Weight: 2.20
Height: 1.45 Width: 6.14 Depth: 9.21
Language: English
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 analyzes n-dimensional rather than scalar equations, giving greater generality and wider applicability and facilitating generalizations to infinite-dimensional spaces.

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