On certain spectral relationships associated with the Carleman integral equation and their applications to contact problems

DOI10.1016/0021-8928(83)90004-7zbMath0544.73144OpenAlexW2032436643MaRDI QIDQ797385

S. M. Mkhitaryan

Publication date: 1984

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(83)90004-7

zbMATH Keywords

Gegenbauer polynomialsgeneralized potentialsymmetric power seriesCarleman integral equationSpectral relationshipstwo identical semi-infinite stampstwo symmetric semi-infinite intervals

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Integral operators (45P05) Eigenvalue problems for integral equations (45C05) Theories of friction (tribology) (74A55)

Related Items (2)

An eigenvalue relation in spheroidal wave functions related to potential theory and its applications to contact problems ⋮ A special relationship in spheroidal wave functions and its application to contact problems

Cites Work

• Interaction of a moving elastic stamp with an elastic half-plane through a stiffener or a thin ideal fluid layer
• On the method of orthogonal polynomials in plane mixed problems of elasticity theory
• On certain solutions of an integral equation of the theory of a linearly deformable foundation
• A method for the construction op the approximate solution of the mixed axisymmetric problem in the theory of elasticity
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