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The Method of Discrete Singularities of Solutions of Singular Integral Equations with Unmoved Singularity

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Topics in Analysis and its Applications

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry ((NAII,volume 147))

Abstract

The mixed boundary value problems, particularly contact problems in elasticity theory are not infrequently reduced to the solution of singular integral equations with generalized Cauchy kernel, which are also called equations with unmoved singularity. Solving these equations is connected with certain di culties.

The quadrature formulas of the highest algebraic precision for singular integral equations are obtained and the effectiveness of their application for solving similar equations is shown in the present work.

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References

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© 2004 Kluwer Academic Publishers

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Sahakyan, A. (2004). The Method of Discrete Singularities of Solutions of Singular Integral Equations with Unmoved Singularity. In: Barsegian, G.A., Begehr, H.G.W. (eds) Topics in Analysis and its Applications. NATO Science Series II: Mathematics, Physics and Chemistry, vol 147. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2128-3_22

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