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Title: Riesz basis property of the system of eigenfunctions for a non-linear problem of Sturm-Liouville type

Abstract

For a non-linear eigenvalue problem similar to a linear Sturm-Liouville problem the properties of the spectrum and the eigenfunctions are analysed. The system of eigenfunctions is shown to be a Riesz basis in L{sub 2}.

Authors:
 [1]
  1. Joint Institute for Nuclear Research, Dubna, Moscow region (Russian Federation)
Publication Date:
OSTI Identifier:
21202928
Resource Type:
Journal Article
Journal Name:
Sbornik. Mathematics
Additional Journal Information:
Journal Volume: 191; Journal Issue: 3; Other Information: DOI: 10.1070/SM2000v191n03ABEH000461; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1064-5616
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EIGENFUNCTIONS; EIGENVALUES; NONLINEAR PROBLEMS; SPECTRA; STURM-LIOUVILLE EQUATION

Citation Formats

Zhidkov, P E. Riesz basis property of the system of eigenfunctions for a non-linear problem of Sturm-Liouville type. United States: N. p., 2000. Web. doi:10.1070/SM2000V191N03ABEH000461; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Zhidkov, P E. Riesz basis property of the system of eigenfunctions for a non-linear problem of Sturm-Liouville type. United States. doi:10.1070/SM2000V191N03ABEH000461; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Zhidkov, P E. Sun . "Riesz basis property of the system of eigenfunctions for a non-linear problem of Sturm-Liouville type". United States. doi:10.1070/SM2000V191N03ABEH000461; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
@article{osti_21202928,
title = {Riesz basis property of the system of eigenfunctions for a non-linear problem of Sturm-Liouville type},
author = {Zhidkov, P E},
abstractNote = {For a non-linear eigenvalue problem similar to a linear Sturm-Liouville problem the properties of the spectrum and the eigenfunctions are analysed. The system of eigenfunctions is shown to be a Riesz basis in L{sub 2}.},
doi = {10.1070/SM2000V191N03ABEH000461; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)},
journal = {Sbornik. Mathematics},
issn = {1064-5616},
number = 3,
volume = 191,
place = {United States},
year = {2000},
month = {4}
}