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Solution of the spatial Tricomi problem for a singular mixed-type equation by the method of integral equationsWe consider a mixed-type singular differential equation in a bounded spatial domain in a specific

The approximate solution of singular integral equationsA computational scheme of collocation type is proposed for a singular linear integral equation

Comparison of the singular numbers of correct restrictions of elliptic differential operatorsThe paper is dedicated to finding the asymptotics of singular numbers of a correct restriction of a

Transmutation operators as a solvability concept of abstract singular equations of differential equations including singular equations with Bessel operator

ON ONE METHOD OF STUDYING IMPLICIT SINGULAR DIFFERENTIAL INCLUSIONS of a given singularity. To the operator inclusion we apply the results on Lipschitz perturbations

Mathematical analysis of the guided modes of an integrated optical guide strongly-singular domain integral equation. It is proved that the operator of the domain integral equation

Numerical Evaluation of the Truncated Singular Value Decomposition Within the Seismic Traveltimes Tomography FrameworkThe method of truncated singular value decomposition is a powerful tool of regularization

Pseudo-differential operators on manifolds with a singular boundary pseudo-differential operators acting in functional spaces on such manifolds. Fredholm properties

One-dimensional and multi-dimensional integral transforms of Buschman-Erdélyi type with Legendre functions in kernels-Erdélyi operators, which are transmutations for the Bessel singular operator. Main properties and applications

On Asymptotic Expansion of the Conormal Symbol of the Singular Bochner-Martinelli Operator on the Surfaces with Singular PointsWe study the conormal symbol of the singular Bochner-Martinelli integral on a compact closed

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