Parameters and solutions of linear and nonlinear oscillators

Relationship between existence of solutions for certain classes of nonlinear boundary value problems and the smallest or the largest eigenvalue of the corresponding linear problem is obtained. Behavior of the solutions, as the parameter increases, is also studied.

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Main Author: Rina Ling
Format: Article
Language:English
Published: Wiley 1979-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171279000399
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author Rina Ling
author_facet Rina Ling
author_sort Rina Ling
collection DOAJ
description Relationship between existence of solutions for certain classes of nonlinear boundary value problems and the smallest or the largest eigenvalue of the corresponding linear problem is obtained. Behavior of the solutions, as the parameter increases, is also studied.
format Article
id doaj-art-56a7054a70454431a69fe3efdf11ce23
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1979-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-56a7054a70454431a69fe3efdf11ce232025-02-03T01:27:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251979-01-012349350210.1155/S0161171279000399Parameters and solutions of linear and nonlinear oscillatorsRina Ling0Department of Mathematics, California State University, Los Angeles 90032, California, USARelationship between existence of solutions for certain classes of nonlinear boundary value problems and the smallest or the largest eigenvalue of the corresponding linear problem is obtained. Behavior of the solutions, as the parameter increases, is also studied.http://dx.doi.org/10.1155/S0161171279000399existence of solutionsnonlinear boundy value probemseigenvaluesboundedness of solutions and parameters.
spellingShingle Rina Ling
Parameters and solutions of linear and nonlinear oscillators
International Journal of Mathematics and Mathematical Sciences
existence of solutions
nonlinear boundy value probems
eigenvalues
boundedness of solutions and parameters.
title Parameters and solutions of linear and nonlinear oscillators
title_full Parameters and solutions of linear and nonlinear oscillators
title_fullStr Parameters and solutions of linear and nonlinear oscillators
title_full_unstemmed Parameters and solutions of linear and nonlinear oscillators
title_short Parameters and solutions of linear and nonlinear oscillators
title_sort parameters and solutions of linear and nonlinear oscillators
topic existence of solutions
nonlinear boundy value probems
eigenvalues
boundedness of solutions and parameters.
url http://dx.doi.org/10.1155/S0161171279000399
work_keys_str_mv AT rinaling parametersandsolutionsoflinearandnonlinearoscillators