On the completeness of the system of root functions of the Sturm-Liouville operator with degenerate boundary conditions

We consider the spectral problem generated by the Sturm-Liouville equation with arbitrary complex-valued potential q ( x ) ∈ L 1 (0, π ) and with degenerate boundary conditions. We obtain sufficient conditions for the completeness of the system of eigenfunctions and associated functions of this oper...

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Bibliographic Details
Published inDifferential equations Vol. 50; no. 6; pp. 835 - 839
Main Author Makin, A. S.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.06.2014
Springer Nature B.V
Subjects
Boundary conditions
Difference and Functional Equations
Differential equations
Mathematical models
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Short Communications
Studies
Theorems
Root Function
Liouville Equation
Spectral Problem
Fundamental Solution
Differential Equation
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Summary:We consider the spectral problem generated by the Sturm-Liouville equation with arbitrary complex-valued potential q ( x ) ∈ L 1 (0, π ) and with degenerate boundary conditions. We obtain sufficient conditions for the completeness of the system of eigenfunctions and associated functions of this operator.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266114060111