| Titre : |
Integral Equations and Their Applications |
| Type de document : |
texte imprimé |
| Auteurs : |
Witold A. POGORZELSKI, Auteur |
| Editeur : |
Pergamon Press, Ltd |
| Année de publication : |
1966 |
| Collection : |
International Series of Monographs in Pure and Applied Mathematics num. vol. 88 |
| Importance : |
714 p. |
| Note générale : |
Contents
From the Editors
List of Symbols
References
Index
Other Titles in this Series of Monographs |
| Catégories : |
Equations intégrales
|
| Index. décimale : |
515.4 Calcul intégral et équations intégrales |
| Résumé : |
THE GENERAL PROPERTIES OF FREDHOLM'S AND VOLTERRA'S EQUATIONS
Volterra's Integral Equations
Fredholm's Integral Equation of the Second Kind
Weakly Singular Fredholm Equations
Systems of Orthogonal Functions
Fredholm's Equation with Symmetric Kernel
Fredholm's Equation of the First Kind
Detailed Investigation of the Resolvent Kernel
Systems of Linear Integral Equations. Linear Integro-Differential Equations
Non-Linear Integral Equations
Fixed Point Theorems and Non-Linear Integral Equations
Application of Integral Equations to Ordinary Differential Equations
Applications of Integral Equations to Potential Theory and Differential Equations of Elliptic Type
Application of Integral Equations to the Theory of Equations of Parabolic Type
Application of Integral Equations to the Theory of Hyperbolic Type Equations
Properties of the Cauchy Type Integrals
Hilbert and Riemann Boundary Problems
Linear Singular Integral Equations
Mathematical Applications of the Theory of Singular Equations
Non-Linear Singular Equations for Contours
Discontinuous Boundary Problems in the Theory of Analytic Functions. Singular Integral Equations for a System of Non-Closed Arcs |
