Spectral relationships for the integral operators generated by a kernel in the form of a Weber-Sonin integral, and their application to contact problems

DOI10.1016/0021-8928(84)90109-6zbMath0586.73186OpenAlexW1969505014MaRDI QIDQ1071595

S. M. Mkhitaryan

Publication date: 1985

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(84)90109-6

zbMATH Keywords

Jacobi polynomialsintegral operatorsfinite intervalplanesymmetric kernelhalf-spacesemi-infinite intervalclosed solutionaxisymmetric contact problemGeneralized potential theory methodsinfinite outer radiusspectral relationshipstamp of annular formWeber-Sonin integral

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Spectrum, resolvent (47A10) Integral operators (45P05) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99) Theories of friction (tribology) (74A55)

Related Items

Fredholm integral equation of the second kind with potential kernel ⋮ Integral equation and contact problem. ⋮ Integral equation with Macdonald kernel and its application to a system of contact problem ⋮ An eigenvalue relation in spheroidal wave functions related to potential theory and its applications to contact problems ⋮ Integral equation and contact problem for a system of impressing stamps. ⋮ Fredholm integral equation with potential kernel and its structure resolvent ⋮ Integral equations and potential-theoretic type integrals of orthogonal polynomials ⋮ Spectral relationships for the integral equation with Macdonald kernel and contact problem ⋮ A special relationship in spheroidal wave functions and its application to contact problems

Cites Work

• 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
• Integral expansion of an arbitrary function in terms of spherical functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral relationships for the integral operators generated by a kernel in the form of a Weber-Sonin integral, and their application to contact problems