Infinitely many homoclinic solutions for second order Hamiltonian systems
β Scribed by Qingye Zhang; Chungen Liu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 610 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
We study the existence of infinitely many homoclinic orbits for some second-order Hamiltonian systems: ΓΌ -L(t)u(t) + β F(t, u(t)) = 0, βt β R, by the variant fountain Theorem, where F(t, u) satisfies the super-quadratic condition F(t, u)/|u| 2 β β as |u| β β uniformly in t, and need not satisfy the
In this paper, we study the existence of infinitely many solutions for a class of second-order impulsive Hamiltonian systems. By using the variational methods, we give some new criteria to guarantee that the impulsive Hamiltonian systems have infinitely many solutions under the assumptions that the