Spectral properties of boundary value problems for functional-differential equations with integrable coefficients

Spectral properties of boundary value problems for functional-differential equations with integrable coefficients

We develop the method devised in the case of differential operators by V.A. Sadovnichii and V.A. Vinokurov for constructing asymptotic formulas of arbitrary-order accuracy for the eigenvalues and eigenfunctions in the case where the differential operator has an integrable potential.

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Veröffentlicht in:Differential equations 2010-08, Vol.46 (8), p.1095-1103
1. Verfasser: Mitrokhin, S. I.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic methods
Asymptotic properties
Boundary conditions
Boundary value problems
Difference and Functional Equations
Differential equations
Eigenfunctions
Eigenvalues
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators
Ordinary Differential Equations
Partial Differential Equations
Spectra
Studies
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Beschreibung
Zusammenfassung:We develop the method devised in the case of differential operators by V.A. Sadovnichii and V.A. Vinokurov for constructing asymptotic formulas of arbitrary-order accuracy for the eigenvalues and eigenfunctions in the case where the differential operator has an integrable potential.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266110080033