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On Volterra Type Singular Integral Equations
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A. Saginashvili
Veröffentlicht/Copyright:
24. Februar 2010
Abstract
Conditions for the boundedness are established, and the norms of Volterra type one-dimensional integral operators with fixed singularities of first order in the kernel are calculated in the space L2 with weight. Integral equations of second order, containing the said operators, are investigated. Conditions for the solvability and solution formulas are given.
Received: 2001-03-26
Published Online: 2010-02-24
Published in Print: 2001-September
© Heldermann Verlag
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Artikel in diesem Heft
- A New Method of Solving the Basic Plane Boundary Value Problems of Statics of the Elastic Mixture Theory
- Euler Polynomials and the Related Quadrature Rule
- MD-Numbers and Asymptotic MD-Numbers of Operators
- Boundary Variational Inequality Approach in the Anisotropic Elasticity for the Signorini Problem
- On Vector Sums of Measure Zero Sets
- Hyper-Holomorphic Cells and Fredholm Theory
- On a Representation of the Derivative of a Conformal Mapping
- On a Trace Inequality for One-Sided Potentials and Applications to the Solvability of Nonlinear Integral Equations
- Quasiconformal Deformations of Holomorphic Functions
- Convolutional Codes and Frequency Responses
- Boundary Integral Equations of Plane Elasticity in Domains with Peaks
- Pluriregular, Plurigeneralized Regular Equations in Clifford Analysis
- On Volterra Type Singular Integral Equations
