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Homoclinic solutions for a class of non-periodic second order Hamiltonian systems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ding, Jian Xu, Junxiang Zhang, Fubao |
| Copyright Year | 2010 |
| Abstract | We study the existence of homoclinic solutions for the second order Hamil- tonian system ¨ u+ Vu(t, u) = f(t). Let V (t, u) = −K(t, u)+ W(t, u) ∈ C 1 (R × R n , R) be T-periodic in t, where K is a quadratic growth function and W may be asymptotically quadratic or super-quadratic at infinity. One homoclinic solution is obtained as a limit of solutions of a sequence of periodic second order differential equations. |
| Starting Page | 1 |
| Ending Page | 11 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.14232/ejqtde.2010.1.31 |
| Alternate Webpage(s) | http://www.emis.de/journals/EJQTDE/p492.pdf |
| Alternate Webpage(s) | http://www.maths.soton.ac.uk/EMIS/journals/EJQTDE/p492.pdf |
| Alternate Webpage(s) | http://directory.umm.ac.id/Journals/Journal_of_mathematics/EJQTDE/p492.pdf |
| Alternate Webpage(s) | http://emis.maths.tcd.ie/EMIS/journals/EJQTDE/p492.pdf |
| Alternate Webpage(s) | http://www.maths.tcd.ie/EMIS/journals/EJQTDE/p492.pdf |
| Alternate Webpage(s) | https://doi.org/10.14232/ejqtde.2010.1.31 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |