An integral representation for eigenfunctions of linear ordinary differential operators

DOI10.1016/0022-247X(79)90078-7zbMath0421.34017OpenAlexW1990250842MaRDI QIDQ1133015

William W. Symes

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90078-7

zbMATH Keywords

Sturm-Liouville operatorsinverse scattering probleminitial- value problemintegral representation for eigenfunctionsVolterra transformation operator

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Ordinary differential equations in the complex domain (34M99) Ordinary differential operators (34L99) General theory for ordinary differential equations (34A99)

Related Items (3)

An inverse scattering formalism for higher-order differential operators ⋮ A differential semblance algorithm for the inverse problem of reflection seismology ⋮ An inverse spectral theory of Gel'fand-Levitan-type for higher order differential operators

Cites Work

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• The Inverse Problem in the Quantum Theory of Scattering

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