Periodic Trajectories on Lorentz Manifolds Under the Action of a Vector Field
نویسندگان
چکیده
منابع مشابه
Carathéodory Periodic Perturbations of the Zero Vector Field on Manifolds
where λ ≥ 0 is a real parameter. We deal with the problem of the existence of T -periodic solutions of (1.1), with a special attention to the case of small values of λ. Clearly, when λ = 0, any point inM may be regarded as a constant solution of (1.1). Thus, it is natural to think about M as a subset of the set X of all the pairs (λ, x), called T -pairs of (1.1), with λ ≥ 0 and x a T -periodic ...
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15 صفحه اولTrajectories under a Vectorial Potential on Stationary Manifolds
By using variational methods, we study the existence and multiplicity of trajec-tories under a vectorial potential on (standard) stationary Lorentzian manifolds possibly with boundary. 1. Introduction and statement of the results. The pair (ᏸ,g) is called Lorentzian manifold if ᏸ is a connected finite-dimensional smooth manifold with dim ᏸ ≥ 2 and g is a Lorentzian metric on ᏸ, that is, g is a ...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2000
ISSN: 0022-0396
DOI: 10.1006/jdeq.2000.3776