Integral equations and potential-theoretic type integrals of orthogonal polynomials

DOI10.1016/S0377-0427(99)00064-3zbMath0929.45004OpenAlexW1999058193MaRDI QIDQ1298784

V. Pereyra

Publication date: 23 January 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00064-3

zbMATH Keywords

elasticityChebyshev polynomialsWiener-Hopf techniqueGegenbauer polynomialscontact problemAbel's theorempotential functionFredholm integral equation of the first kindWeber-Sonin integralnonlinear plasticityGauss hypergeometric kernel

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Contact in solid mechanics (74M15) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (10)

An extremal property of the generalized arcsine distribution ⋮ An asymptotic model for solving mixed integral equation in some domains ⋮ On some Volterra and Fredholm problems via the unified integrodifferential quadrature method ⋮ Optimal design for linear models with correlated observations ⋮ Exact solution of some integral equations over a circular disc ⋮ A generalized integral quadratic method. I: An efficient solution for one-dimensional Volterra integral equation ⋮ Integral equation of mixed type and integrals of orthogonal polynomials ⋮ Fredholm-Volterra integral equation of the first kind and contact problem ⋮ Fredholm-Volterra integral equation and generalized potential kernel ⋮ Solution of a class of two-dimensional integral equations

Cites Work

• Some approximate methods of solving integral equations of mixed problems
• On a method of obtaining spectral relationships for integral operators of mixed problems of mechanics of continuous media
• Spectral relationships for the integral operators generated by a kernel in the form of a Weber-Sonin integral, and their application to contact problems
• Krein's method with certain singular kernel for solving the integral equation of the first kind
• Fredholm integral equation of the second kind with potential kernel
• On a method of solution of the axisymmetric contact problem of the theory of elasticity
• The plane contact problem of the theory of creep
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