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Approximate solving of the systems of singular integral equations with weak singularity in the regular part. (Russian)
Authors: Zolotarevskii V. A., Fakikh Firas.
Abstract
The computation schemes of collocation and mechanical quadrature methods for approximate solving of the complete singular integral equations with the regular kernel with integrable singularity are elaborated. It is examinated the case when the equations are defined on the smooth closed contour. The estimation of the rate of convergence are obtained in the Lebesgue spaces and in the scale of Holder spaces.Universitatea de Stat din Moldova
str. A.Mateevici 60, MD-2009 Chişinău, Moldova
str. A.Mateevici 60, MD-2009 Chişinău, Moldova
Contents
- On the compatibility of the tangency relations of sets of some classes. (English)
- Diffusion of a flat, cylindrical or sherical impulse in a porous medium. (Russian)
- On the spectrum of some integro-differential operators. (Romanian)
- On the normal form and the reducibility of linear completely integrable systems with quasiperiodic coefficients. (English)
- On endomorphism rings without nonzero nilpotent elements. I. (English)
- On the embeddability of foliations of the Riccati equations. (English)
- Approximate solving of the systems of singular integral equations with weak singularity in the regular part. (Russian)
- Finiteness of the point spectrum of some nonselfadjoint operators close to the operators generated by Jacobi matrices. (English)
- The characteristic submodules determined by pretorsions, torsions and jansian torsions. (English)
- On the stability of Smale, Pareto and Slater optimal solutions in the vector trajectory optimization problems. (Russian)
- About sings of Bol loop translations. (English)
- Lie algebra of operators for comitants of polynomial differential equations. (English)
- Combinatorial results in the theory of multiple antisymetry. (Russian)
- Helly-type theorems on common supports for k-disjoint families of convex bodies in the plane. (English)
- About one modification of Godunov's finite-difference scheme for arbitrary cells. (English)
- The asymptotic expansions for the symmetric hyperbolic system with a small parameter. (English)
- On the absence of singular continuous spectrum for Jacobi matrices. (English)
- A note on the three chains theorem in metric constrained interpolation theory. (English)
- The stability of direct methods for solving normal systems of singular integral equations on smooth closed contours. (English)
- Corrigendum to "Units, idempotents and nilpotents of an endomorphism ring. II" by Valeriu Popa
