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Basis Properties of the System of Root Functions of the Sturm–Liouville Operator with Degenerate Boundary Conditions: II

Basis Properties of the System of Root Functions of the Sturm–Liouville Operator with Degenerate... The spectral problem for the Sturm–Liouville operator with arbitrary complex-valued potential q(x) of the class L 1(0, π) and degenerate boundary conditions is considered. We prove that the system of root functions of this operator is not a basis in the space L 2(0, π). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Basis Properties of the System of Root Functions of the Sturm–Liouville Operator with Degenerate Boundary Conditions: II

Makin, A.
Differential Equations , Volume 54 (12) – Feb 27, 2019
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References (10)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266118120042
Publisher site
See Article on Publisher Site

Abstract

The spectral problem for the Sturm–Liouville operator with arbitrary complex-valued potential q(x) of the class L 1(0, π) and degenerate boundary conditions is considered. We prove that the system of root functions of this operator is not a basis in the space L 2(0, π).

Journal

Differential Equations – Springer Journals

Published: Feb 27, 2019

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