Integral Equations and Applications

The purpose of this book is threefold: to be used for graduate courses on integral equations; to be a reference for researchers; and to describe methods of application of the theory.

C. Corduneanu (Author)

9780521091909, Cambridge University Press

Paperback / softback, published 4 December 2008

380 pages
22.9 x 15.2 x 2.2 cm, 0.56 kg

The purpose of this book is threefold: to be used for graduate courses on integral equations; to be a reference for researchers; and to describe methods of application of the theory. The author emphasizes the role of Volterra equations as a unifying tool in the study of functional equations, and investigates the relation between abstract Volterra equations and other types of functional-differential equations.

1. Introduction to the theory of integral equations
2. Function spaces, operators, fixed points and monotone mappings
3. Basic theory of Volterra equations: integral and abstract
4. Some special classes of integral and integrodifferential equations
5. Integral equations in abstract spaces
6. Some applications of integral and integrodifferential equations.

Subject Areas: Calculus & mathematical analysis [PBK]