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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Format: | Article |
Language: | English |
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Wiley
1979-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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Online Access: | http://dx.doi.org/10.1155/S0161171279000399 |
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_version_ | 1832560312171102208 |
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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 |