Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation
In this paper, we investigate a class of nonperiodic fourth-order differential equations with general perturbation. By using the mountain pass theorem and the Ekeland variational principle, we obtain that such equations possess two homoclinic solutions. Recent results in the literature are generaliz...
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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/10.1155/2014/126435 |
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| _version_ | 1832556199606747136 |
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| author | Liu Yang |
| author_facet | Liu Yang |
| author_sort | Liu Yang |
| collection | DOAJ |
| description | In this paper, we investigate a class of nonperiodic fourth-order differential equations with general perturbation. By using the mountain pass theorem and the Ekeland variational principle, we obtain that such equations possess two homoclinic solutions. Recent results in the literature are generalized and significantly improved. |
| format | Article |
| id | doaj-art-85dec279262f478cba34f4da6e680207 |
| 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-85dec279262f478cba34f4da6e6802072025-02-03T05:46:00ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/126435126435Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General PerturbationLiu Yang0Department of Mathematics and Computing Sciences, Hengyang Normal University, Hengyang, Hunan 421008, ChinaIn this paper, we investigate a class of nonperiodic fourth-order differential equations with general perturbation. By using the mountain pass theorem and the Ekeland variational principle, we obtain that such equations possess two homoclinic solutions. Recent results in the literature are generalized and significantly improved.http://dx.doi.org/10.1155/2014/126435 |
| spellingShingle | Liu Yang Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation Abstract and Applied Analysis |
| title | Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation |
| title_full | Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation |
| title_fullStr | Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation |
| title_full_unstemmed | Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation |
| title_short | Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation |
| title_sort | multiplicity of homoclinic solutions for a class of nonperiodic fourth order differential equations with general perturbation |
| url | http://dx.doi.org/10.1155/2014/126435 |
| work_keys_str_mv | AT liuyang multiplicityofhomoclinicsolutionsforaclassofnonperiodicfourthorderdifferentialequationswithgeneralperturbation |