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On One Fredholm Integral Equation of Third Kind
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D. Shulaia
Veröffentlicht/Copyright:
23. Februar 2010
Abstract
In the class of Hölder functions we give the necessary and sufficient condition for solvability of a Fredholm integral equation whose kernel has fixed singularity in the segment of variation of an independent variable. Finding a solution is reduced to solving a regular integral equation of second kind.
Key words and phrases.: Integral equation of the third kind; characteristic numbers; fundamental functions; singular operator
Received: 1995-07-20
Published Online: 2010-02-23
Published in Print: 1997-October
© 1997 Plenum Publishing Corporation
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- Singular Nonlinear (n – 1, 1) Conjugate Boundary Value Problems
- Generalizations of Non-Commutative Neutrix Convolution Products of Functions
- Solution of the Basic Boundary Value Problems of Stationary Thermoelastic Oscillations for Domains Bounded by Spherical Surfaces
- On Factorization and Partial Indices of Unitary Matrix-Functions of One Class
- The Uniform Norming of Retractions on Short Intervals for Certain Function Spaces
- On McEliece's Theorem
- On One Fredholm Integral Equation of Third Kind
- On Ito–Nisio Type Theorems for DS-Groups
Schlagwörter für diesen Artikel
Integral equation of the third kind;
characteristic numbers;
fundamental functions;
singular operator
Artikel in diesem Heft
- Singular Nonlinear (n – 1, 1) Conjugate Boundary Value Problems
- Generalizations of Non-Commutative Neutrix Convolution Products of Functions
- Solution of the Basic Boundary Value Problems of Stationary Thermoelastic Oscillations for Domains Bounded by Spherical Surfaces
- On Factorization and Partial Indices of Unitary Matrix-Functions of One Class
- The Uniform Norming of Retractions on Short Intervals for Certain Function Spaces
- On McEliece's Theorem
- On One Fredholm Integral Equation of Third Kind
- On Ito–Nisio Type Theorems for DS-Groups
