Abstract
In this paper, we find new conditions, which are different from those used in previous related studies, to ensure the existence of infinitely many homoclinic orbits for the second order Hamiltonian systems of the form - over(q, ̈) = Vq (t, q) . Here, we assume that V (t, q) depends periodically on t, and assume, on q, that V (t, q) is asymptotically quadratic at q = 0 and is, as | q | → ∞, either asymptotically quadratic or superquadratic, as well as the new conditions.
Original language | English |
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Pages (from-to) | 1395-1413 |
Number of pages | 19 |
Journal | Nonlinear Analysis, Theory, Methods and Applications |
Volume | 71 |
Issue number | 5-6 |
DOIs | |
Publication status | Published - 2009 Sep 1 |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics