Fredholm-Volterra integral equation and generalized potential kernel

DOI10.1016/S0096-3003(01)00128-XzbMath1030.65132OpenAlexW2157039219MaRDI QIDQ1855770

Mohamed A. Abdou

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00128-x

zbMATH Keywords

eigenvalueseigenfunctionsexplicit solutionCarleman kernelcontact problemnumerical approximationBessel functionlogarithmic kernelFredholm-Volterra integral equationJacobi polynomialelliptic kernelsgeneralized potential kernel

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Contact in solid mechanics (74M15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Eigenvalue problems for integral equations (45C05) Integral equations with miscellaneous special kernels (45H05)

Related Items (8)

An asymptotic model for solving mixed integral equation in some domains ⋮ On the numerical solutions of integral equation of mixed type. ⋮ A study of normality and continuity for mixed integral equations ⋮ A main theorem of spectral relationships for Volterra-Fredholm integral equation of the first kind and its applications ⋮ On asymptotic methods for Fredholm-Volterra integral equation of the second kind in contact problems ⋮ Numerical methods of singular integral equation for solving some problem in fluid dynamic ⋮ Volterra-Fredholm integral equation of the first kind and spectral relationships ⋮ An efficient method for mixed integral equations with phase lag

Cites Work

• Some approximate methods of solving integral equations of mixed problems
• Integral equations and potential-theoretic type integrals of orthogonal polynomials
• Integral equation and contact problem for a system of impressing stamps.
• Fredholm integral equation with potential kernel and its structure resolvent
• Fredholm integral equation of the second kind with potential kernel
• On the Eigenvalues of a Class of Integral Equations Arising in Laser Theory
• The plane contact problem of the theory of creep
• Spectral relationships for integral operators in contact problem of impressing stamps.
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