Nontrivial Solutions of the Asymmetric Beam System with Jumping Nonlinear Terms
<p/> <p>We investigate the existence of multiple nontrivial solutions <inline-formula> <graphic file="1687-2770-2010-728101-i1.gif"/></inline-formula> for perturbations <inline-formula> <graphic file="1687-2770-2010-728101-i2.gif"/></i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2010/728101 |
| _version_ | 1818973497346490368 |
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| author | Choi Q-Heung Jung Tacksun |
| author_facet | Choi Q-Heung Jung Tacksun |
| author_sort | Choi Q-Heung |
| collection | DOAJ |
| description | <p/> <p>We investigate the existence of multiple nontrivial solutions <inline-formula> <graphic file="1687-2770-2010-728101-i1.gif"/></inline-formula> for perturbations <inline-formula> <graphic file="1687-2770-2010-728101-i2.gif"/></inline-formula>and <inline-formula> <graphic file="1687-2770-2010-728101-i3.gif"/></inline-formula> of the beam system with Dirichlet boundary condition <inline-formula> <graphic file="1687-2770-2010-728101-i4.gif"/></inline-formula> in <inline-formula> <graphic file="1687-2770-2010-728101-i5.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-728101-i6.gif"/></inline-formula> in <inline-formula> <graphic file="1687-2770-2010-728101-i7.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2010-728101-i8.gif"/></inline-formula>, and <inline-formula> <graphic file="1687-2770-2010-728101-i9.gif"/></inline-formula> are nonzero constants. Here <inline-formula> <graphic file="1687-2770-2010-728101-i10.gif"/></inline-formula> is the beam operator in <inline-formula> <graphic file="1687-2770-2010-728101-i11.gif"/></inline-formula> , and the nonlinearity <inline-formula> <graphic file="1687-2770-2010-728101-i12.gif"/></inline-formula> crosses the eigenvalues of the beam operator.</p> |
| first_indexed | 2024-12-20T15:25:06Z |
| format | Article |
| id | doaj.art-5e18fc8d7db44e42b27ca093b00f4916 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-20T15:25:06Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-5e18fc8d7db44e42b27ca093b00f49162022-12-21T19:35:52ZengSpringerOpenBoundary Value Problems1687-27621687-27702010-01-0120101728101Nontrivial Solutions of the Asymmetric Beam System with Jumping Nonlinear TermsChoi Q-HeungJung Tacksun<p/> <p>We investigate the existence of multiple nontrivial solutions <inline-formula> <graphic file="1687-2770-2010-728101-i1.gif"/></inline-formula> for perturbations <inline-formula> <graphic file="1687-2770-2010-728101-i2.gif"/></inline-formula>and <inline-formula> <graphic file="1687-2770-2010-728101-i3.gif"/></inline-formula> of the beam system with Dirichlet boundary condition <inline-formula> <graphic file="1687-2770-2010-728101-i4.gif"/></inline-formula> in <inline-formula> <graphic file="1687-2770-2010-728101-i5.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2010-728101-i6.gif"/></inline-formula> in <inline-formula> <graphic file="1687-2770-2010-728101-i7.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2010-728101-i8.gif"/></inline-formula>, and <inline-formula> <graphic file="1687-2770-2010-728101-i9.gif"/></inline-formula> are nonzero constants. Here <inline-formula> <graphic file="1687-2770-2010-728101-i10.gif"/></inline-formula> is the beam operator in <inline-formula> <graphic file="1687-2770-2010-728101-i11.gif"/></inline-formula> , and the nonlinearity <inline-formula> <graphic file="1687-2770-2010-728101-i12.gif"/></inline-formula> crosses the eigenvalues of the beam operator.</p>http://www.boundaryvalueproblems.com/content/2010/728101 |
| spellingShingle | Choi Q-Heung Jung Tacksun Nontrivial Solutions of the Asymmetric Beam System with Jumping Nonlinear Terms Boundary Value Problems |
| title | Nontrivial Solutions of the Asymmetric Beam System with Jumping Nonlinear Terms |
| title_full | Nontrivial Solutions of the Asymmetric Beam System with Jumping Nonlinear Terms |
| title_fullStr | Nontrivial Solutions of the Asymmetric Beam System with Jumping Nonlinear Terms |
| title_full_unstemmed | Nontrivial Solutions of the Asymmetric Beam System with Jumping Nonlinear Terms |
| title_short | Nontrivial Solutions of the Asymmetric Beam System with Jumping Nonlinear Terms |
| title_sort | nontrivial solutions of the asymmetric beam system with jumping nonlinear terms |
| url | http://www.boundaryvalueproblems.com/content/2010/728101 |
| work_keys_str_mv | AT choiqheung nontrivialsolutionsoftheasymmetricbeamsystemwithjumpingnonlinearterms AT jungtacksun nontrivialsolutionsoftheasymmetricbeamsystemwithjumpingnonlinearterms |