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Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms

✍ Scribed by WenXiong Chen; MinBo Yang; YanHeng Ding


Book ID
107348506
Publisher
SP Science China Press
Year
2011
Tongue
English
Weight
266 KB
Volume
54
Category
Article
ISSN
1674-7283

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Infinitely many homoclinic orbits for th
✍ 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