Homoclinics for an almost periodically forced singular Hamiltonian system
نویسندگان
چکیده
منابع مشابه
Homoclinics for an Almost Periodically Forced Singular Hamiltonian System
where a and W satisfy (a1) a(t) is a continuous almost periodic function of t with a(t) ≥ a0 > 0 for all t ∈ R. (W1) There is a ξ ∈ R\{0} such that W ∈ C(R\{ξ},R). (W2) limx→ξW (x) = −∞. (W3) There is a neighborhood N of ξ and U ∈ C(N\{ξ},R) such that |U(x)| → ∞ as x→ ξ and |U ′(x)|2 ≤ −W (x) for x ∈ N\{ξ}, (W4) W (x) < W (0) = 0 if x 6= 0 and W ′′(0) is negative definite. (W5) There is a const...
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ژورنال
عنوان ژورنال: Topological Methods in Nonlinear Analysis
سال: 1995
ISSN: 1230-3429
DOI: 10.12775/tmna.1995.031