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Singular integral equations of volterra type and the finite part of divergent integrals

Archive for Rational Mechanics and Analysis, 1959
of the first and second kind respectively for integral and non-integral values of a ~ t z. In the more,common case 0c 1 an interpretation of the divergent integrals may be sought by CAUCH.Y'S principal values for a ~-t and HADAMARD'S finite parts for a > t.
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Some Classes of Nonlinear Mixed Volterra and Singular Integral Equations

Zeitschrift für Analysis und ihre Anwendungen, 1992
Existence theorems for some classes of nonlinear mixed Volterra and singular integral or integro-differential equations are proved applying methods of monotone operator theory and Schauder’s fixed point theorem, respectively. Moreover, uniqueness theorems for the solution are given.
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Resolvents and solutions of singular Volterra integral equations with separable kernels

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The numerical solution of volterra intergral equations with singular kernels

BIT, 1974
Convergent starting procedures for nonlinear Volterra integral equations with singularities in the kernel are considered. These methods may be used to solve the problem on the entire interval of integration and for proper choice of the nodes areA-stable. Some numerical examples are presented.
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On the Uniqueness of Solvability of the Volterra Partial Integral Equation with Weak Singularity

Lobachevskii Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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System of Volterra Integral Equations: Integrable Singularities

2013
Ravi P. Agarwal   +2 more
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The singular value expansion of the Volterra integral equation associated to a numerical differentiation problem

Journal of Mathematical Analysis and Applications, 2018
Pierluigi Maponi, Nadaniela Egidi
exaly  

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