The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions
We study the existence of multiple solutions for a fourth-order nonlinear boundary value problem. We give some new criteria for guaranteeing that the fourth-order elastic beam equation with a perturbed term has at least three solutions. The proof is based on some three critical points theorems of B....
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/454658 |
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| _version_ | 1832548690449924096 |
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| author | Qun Gao |
| author_facet | Qun Gao |
| author_sort | Qun Gao |
| collection | DOAJ |
| description | We study the existence of multiple solutions for a fourth-order nonlinear boundary value problem. We give some new criteria for guaranteeing that the fourth-order elastic beam equation with a perturbed term has at least three solutions. The proof is based on some three critical points theorems of B. Ricceri. Furthermore, numerical simulations are also presented. |
| format | Article |
| id | doaj-art-915d2686e9b64b278d9f19cd5a84b3d8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-915d2686e9b64b278d9f19cd5a84b3d82025-02-03T06:13:24ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/454658454658The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary ConditionsQun Gao0School of Business, Shandong University of Technology, Zibo 255049, ChinaWe study the existence of multiple solutions for a fourth-order nonlinear boundary value problem. We give some new criteria for guaranteeing that the fourth-order elastic beam equation with a perturbed term has at least three solutions. The proof is based on some three critical points theorems of B. Ricceri. Furthermore, numerical simulations are also presented.http://dx.doi.org/10.1155/2014/454658 |
| spellingShingle | Qun Gao The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions Abstract and Applied Analysis |
| title | The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions |
| title_full | The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions |
| title_fullStr | The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions |
| title_full_unstemmed | The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions |
| title_short | The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions |
| title_sort | solvability and numerical simulation for the elastic beam problems with nonlinear boundary conditions |
| url | http://dx.doi.org/10.1155/2014/454658 |
| work_keys_str_mv | AT qungao thesolvabilityandnumericalsimulationfortheelasticbeamproblemswithnonlinearboundaryconditions AT qungao solvabilityandnumericalsimulationfortheelasticbeamproblemswithnonlinearboundaryconditions |