Steady currents in composite conductors, eigenfunction expansions, and exactly solvable linear integral equations

DOI10.1063/1.529492zbMath0819.45001OpenAlexW1980038060MaRDI QIDQ3991593

Anis A. Inayat-Hussain

Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529492

zbMATH Keywords

Fredholm integral equationsAbel integral equationelectromagnetic scatteringeigenfunction expansionssingular kernelssummation equationHermitian operatorsHilbert-Schmidt theoryCauchy-singularitycomposite conductorexactly solvable linear integral equations

Mathematics Subject Classification ID

Fredholm integral equations (45B05) Eigenvalue problems for integral equations (45C05) Integral equations with kernels of Cauchy type (45E05) Linear integral equations (45A05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

• An integral equation solution to the Dirichlet problem for Laplace's equation in an ellipse
• Starting fields and far fields in ocean acoustics
• The Carleman Type Singular Integral Equations
• On the solution of integral equations with a generalized Cauchy kernel
• A new generalization of the Hankel integral transform
• Erratum: Dispersion relations for causal Green’s functions: Derivations using the Poincaré–Bertrand theorem and its generalizations [J. Math. Phys. 3 1, 1356 (1990)]
• Mathieu integral transforms
• A Method for Solving Singular Integrodifferential Equations
• Integral Equations with Logarithmic Kernels
• The Existence of Eigenvalues for the Integral Equations of Laser Theory

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