Density, spectral theory and homoclinics for singular Sturm-Liouville systems

DOI10.1016/0377-0427(94)90348-4zbMath0816.34016OpenAlexW2074030540MaRDI QIDQ1342916

Michel Willem, Colette De Coster

Publication date: 16 July 1995

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

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90348-4

zbMATH Keywords

BesselChebyshev polynomialsboundary conditionsLaguerreLegendreHermitesingular Sturm-Liouville systemsset of eigenfunctions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Other functions coming from differential, difference and integral equations (33E30) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items

Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials, Bifurcation analysis of a singular nonlinear Sturm–Liouville equation, Multiple homoclinic solutions for the discrete \(p\)-Laplacian via critical point theory

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