A special relationship in spheroidal wave functions and its application to contact problems

DOI10.1016/0021-8928(84)90070-4zbMath0585.73191OpenAlexW2089034092MaRDI QIDQ1070905

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(84)90070-4

zbMATH Keywords

integral operatorspheroidal wave functionshalf-spaceMacdonald functiondeformed in a power- law formhalf-plane basesimpressionspectral and kindred relationshipsymmetric difference kerneltheory of the generalized potentialtwo identical semi-infinite intervalstwo identical stamps

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Theories of friction (tribology) (74A55)

Related Items (2)

Fredholm-Volterra integral equation in contact problem. ⋮ An eigenvalue relation in spheroidal wave functions related to potential theory and its applications to contact problems

Cites Work

• On a method of obtaining spectral relationships for integral operators of mixed problems of mechanics of continuous media
• On certain spectral relationships associated with the Carleman integral equation and their applications to contact problems
• Spectral relationships for the integral operators generated by a kernel in the form of a Weber-Sonin integral, and their application to contact problems
• On the relationship of some Fredholm integral equations of the first kind to a family of boundary value problems
• Klassifikation, Bezeichnung und Eigenschaften der Sphäroidfunktionen
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