Forced oscillations on manifolds and multiplicity results for periodically perturbed autonomous systems
نویسندگان
چکیده
منابع مشابه
A Remark on the Genericity of Multiplicity Results for Forced Oscillations on Manifolds
(2) ẍπ = h(x, ẋ) + f(t, x, ẋ), where h : TM −→ R is C and tangent to M , and the perturbing function f : R × TM −→ R is T -periodic in t (with T > 0 a fixed number), tangent to M and satisfies the usual Carathéodory and admissibility conditions. In particular, we shall prove that when M is compact, then the set of h such that (2) admits at least |χ(M)| geometrically independent T -periodic solu...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2000
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(99)00259-9