Reduction of an infinite system of integrodifferential equations for electric currents on a lattice of closed curves to a finite system of independent pseudodifferential equations on a circle

DOI10.1216/JIEA/1181075898zbMath0851.45008OpenAlexW2025392555MaRDI QIDQ1914812

Valery A. Kholodnyi

Publication date: 26 November 1996

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075898

zbMATH Keywords

integro-differential equationsperiodicityreductionnonresonanceinfinite networkpseudodifferential equationsinfinite systemMaxwell's equations in periodic structures

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Systems of singular linear integral equations (45F15) Integro-ordinary differential equations (45J05) Electromagnetic theory (general) (78A25)

Cites Work

• The fast Fourier transform and the numerical solution of one-dimensional boundary integral equations
• Reduction of an infinite system of integral equations of potential type on a one-dimensional lattice of closed curves in the plane to a finite system of independent pseudodifferential equations on a circle
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