Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Damped Vibration Problems with Impulsive Effects
This paper is concerned with the existence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effects. Some new results are obtained under more relaxed conditions by using Mountain Pass Theorem and Symmetric Mountain Pass Theorem in critical point t...
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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/10.1155/2014/960276 |
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| _version_ | 1832558946922004480 |
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| author | Qiongfen Zhang |
| author_facet | Qiongfen Zhang |
| author_sort | Qiongfen Zhang |
| collection | DOAJ |
| description | This paper is concerned with the existence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effects. Some new results are obtained under more relaxed conditions by using Mountain Pass Theorem and Symmetric Mountain Pass Theorem in critical point theory. The results obtained in this paper generalize and improve some existing works in the literature. |
| format | Article |
| id | doaj-art-8ea6dc4876fa461da0329ed2cdb93aa9 |
| 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-8ea6dc4876fa461da0329ed2cdb93aa92025-02-03T01:31:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/960276960276Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Damped Vibration Problems with Impulsive EffectsQiongfen Zhang0College of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaThis paper is concerned with the existence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effects. Some new results are obtained under more relaxed conditions by using Mountain Pass Theorem and Symmetric Mountain Pass Theorem in critical point theory. The results obtained in this paper generalize and improve some existing works in the literature.http://dx.doi.org/10.1155/2014/960276 |
| spellingShingle | Qiongfen Zhang Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Damped Vibration Problems with Impulsive Effects Abstract and Applied Analysis |
| title | Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Damped Vibration Problems with Impulsive Effects |
| title_full | Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Damped Vibration Problems with Impulsive Effects |
| title_fullStr | Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Damped Vibration Problems with Impulsive Effects |
| title_full_unstemmed | Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Damped Vibration Problems with Impulsive Effects |
| title_short | Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Damped Vibration Problems with Impulsive Effects |
| title_sort | existence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effects |
| url | http://dx.doi.org/10.1155/2014/960276 |
| work_keys_str_mv | AT qiongfenzhang existenceandmultiplicityoffasthomoclinicsolutionsforaclassofdampedvibrationproblemswithimpulsiveeffects |