Integral Equations
(Sprache: Englisch)
This classic work is now available in an unabridged paperback edition. Hochstatdt s concise treatment of integral equations represents the best compromise between the detailed classical approach and the faster functional analytic approach, while developing...
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Klappentext zu „Integral Equations “
This classic work is now available in an unabridged paperback edition. Hochstatdt s concise treatment of integral equations represents the best compromise between the detailed classical approach and the faster functional analytic approach, while developing the most desirable features of each. The seven chapters present an introduction to integral equations, elementary techniques, the theory of compact operators, applications to boundary value problems in more than dimension, a complete treatment of numerous transform techniques, a development of the classical Fredholm technique, and application of the Schauder fixed point theorem to nonlinear equations.
Inhaltsverzeichnis zu „Integral Equations “
Partial table of contents:BASIC EXISTENCE THEOREMS
- Fixed Point Theorems
- Volterra Equations
- Kernels with Weak Singularities
INTEGRAL EQUATIONS WITH L2 KERNELS
- Compact Operators
- Positive Operators
- Approximation of Eigenvalues
- Fredholm Equations with Self-Adjoint Compact Operators
APPLICATIONS TO PARTIAL DIFFERENTIAL EQUATIONS
FOURIER TRANSFORMS
- Laplace Transforms
- Hankel Transforms
- Mellin Transforms
- The Weiner-Hopf Technique I. The Weiner-Hopf Technique II
THE FREDHOLM THEORY
NONLINEAR INTEGRAL EQUATIONS
- The Schauder Fixed Point Theorem
- Index
Bibliographische Angaben
- Autor: Harry Hochstadt
- 1989, 1. Auflage, 304 Seiten, Maße: 21,5 cm, Kartoniert (TB), Englisch
- Verlag: Wiley & Sons
- ISBN-10: 0471504041
- ISBN-13: 9780471504047
Sprache:
Englisch
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