On a new method for solving irregular problems

DOI10.1006/jmaa.1997.5876zbMath0914.34073OpenAlexW1991574455MaRDI QIDQ1269643

S. Ya. Yakubov

Publication date: 29 November 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5876

zbMATH Keywords

asymptoticscoercivityeigenvaluescompletenesseigenfunctionsscattering theoryspectral parameterirregularRegge problem

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear boundary value problems for ordinary differential equations (34B05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (3)

Boundary value problem for second-order differential operators with integral conditions ⋮ Boundary value problem for second-order differential operators with nonregular integral boundary conditions ⋮ Irregular boundary value problems revisited

Cites Work

• Spectral theory of two-point differential operators determined by \(-D^ 2\). I: Spectral properties
• Spectral theory of two-point differential operators determined by \(-D^ 2\). II: Analysis of cases
• Analytic properties of the scattering matrix
• Construction of potentials from resonance parameters
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• The spectral theory of second order two-point differential operators: I. A priori estimates for the eigenvalues and completeness
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
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