Infinitely many homoclinic orbits for th
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Jie Yang; Fubao Zhang
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Article
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2009
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Elsevier Science
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English
β 417 KB
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