Nonperiodic Damped Vibration Systems with Asymptotically Quadratic Terms at Infinity: Infinitely Many Homoclinic Orbits
We study a class of nonperiodic damped vibration systems with asymptotically quadratic terms at infinity. We obtain infinitely many nontrivial homoclinic orbits by a variant fountain theorem developed recently by Zou. To the best of our knowledge, there is no result published concerning the existenc...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/937128 |
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| _version_ | 1832556408611012608 |
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| author | Guanwei Chen |
| author_facet | Guanwei Chen |
| author_sort | Guanwei Chen |
| collection | DOAJ |
| description | We study a class of nonperiodic damped vibration systems with asymptotically quadratic terms at infinity. We obtain infinitely many nontrivial homoclinic orbits by a variant
fountain theorem developed recently by Zou. To the best of our knowledge, there is no result published concerning the existence (or multiplicity) of nontrivial homoclinic orbits for this class of non-periodic
damped vibration systems with asymptotically quadratic terms at infinity. |
| format | Article |
| id | doaj-art-bc44d0ef390c4e60b52e035831af2940 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bc44d0ef390c4e60b52e035831af29402025-02-03T05:45:35ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/937128937128Nonperiodic Damped Vibration Systems with Asymptotically Quadratic Terms at Infinity: Infinitely Many Homoclinic OrbitsGuanwei Chen0School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan 455000, ChinaWe study a class of nonperiodic damped vibration systems with asymptotically quadratic terms at infinity. We obtain infinitely many nontrivial homoclinic orbits by a variant fountain theorem developed recently by Zou. To the best of our knowledge, there is no result published concerning the existence (or multiplicity) of nontrivial homoclinic orbits for this class of non-periodic damped vibration systems with asymptotically quadratic terms at infinity.http://dx.doi.org/10.1155/2013/937128 |
| spellingShingle | Guanwei Chen Nonperiodic Damped Vibration Systems with Asymptotically Quadratic Terms at Infinity: Infinitely Many Homoclinic Orbits Abstract and Applied Analysis |
| title | Nonperiodic Damped Vibration Systems with Asymptotically Quadratic Terms at Infinity: Infinitely Many Homoclinic Orbits |
| title_full | Nonperiodic Damped Vibration Systems with Asymptotically Quadratic Terms at Infinity: Infinitely Many Homoclinic Orbits |
| title_fullStr | Nonperiodic Damped Vibration Systems with Asymptotically Quadratic Terms at Infinity: Infinitely Many Homoclinic Orbits |
| title_full_unstemmed | Nonperiodic Damped Vibration Systems with Asymptotically Quadratic Terms at Infinity: Infinitely Many Homoclinic Orbits |
| title_short | Nonperiodic Damped Vibration Systems with Asymptotically Quadratic Terms at Infinity: Infinitely Many Homoclinic Orbits |
| title_sort | nonperiodic damped vibration systems with asymptotically quadratic terms at infinity infinitely many homoclinic orbits |
| url | http://dx.doi.org/10.1155/2013/937128 |
| work_keys_str_mv | AT guanweichen nonperiodicdampedvibrationsystemswithasymptoticallyquadratictermsatinfinityinfinitelymanyhomoclinicorbits |