𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Infinitely many homoclinic orbits of a Hamiltonian system with symmetry

✍ Scribed by Yanheng Ding; Mario Girardi

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
191 KB
Volume
38
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Infinitely many homoclinic orbits for th
Infinitely many homoclinic orbits for the second-order Hamiltonian systems
✍ Wenming Zou; Shujie Li πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 347 KB

In this paper, the existence of homoclinic orbits for the second-order Hamiltonian systems without periodicity is studied and infinitely many homoclinic orbits for both superlinear and asymptotically linear cases are obtained.

Infinitely many homoclinic orbits for th
Infinitely many homoclinic orbits for the second-order Hamiltonian systems with super-quadratic potentials
✍ Jie Yang; Fubao Zhang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 417 KB

We study the existence of infinitely many homoclinic orbits for some second-order Hamiltonian systems: ΓΌ -L(t)u(t) + βˆ‡ F(t, u(t)) = 0, βˆ€t ∈ R, by the variant fountain Theorem, where F(t, u) satisfies the super-quadratic condition F(t, u)/|u| 2 β†’ ∞ as |u| β†’ ∞ uniformly in t, and need not satisfy the