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A Melnikov Method for Homoclinic Orbits with Many Pulses

✍ Scribed by Roberto Camassa; Gregor Kovačič; Siu-Kei Tin


Book ID
105872611
Publisher
Springer
Year
1998
Tongue
English
Weight
910 KB
Volume
143
Category
Article
ISSN
0003-9527

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