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Homoclinic orbits for second-order Hamiltonian systems with subquadratic potentials

✍ Scribed by Lv, Ying; Tang, Chun-Lei


Book ID
122213827
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
502 KB
Volume
57
Category
Article
ISSN
0960-0779

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✍ 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