Periodical Solutions of Poisson-Gradient Dynamical Systems with Periodical Potential

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dc.creatorUdriste, Constantin
dc.creatorDuca, Iulian
dc.date2005-10-26
dc.date.accessioned2026-07-07T06:47:56Z
dc.date.available2026-07-07T06:47:56Z
dc.descriptionThe main purpose of this paper is the study of the action that produces Poisson-gradient systems and their multiple periodical solutions. The Section 1 establishes the basic tools. The section 2 underlines conditions in which the action $ϕ(u) = \displaystyle\displaystyle\int_{T_{0}}[ \displaystyle% \displaystyle{1/2}| \displaystyle\displaystyle\frac{\partial u}{% \partial t}| ^{2}+F(t,u(t)) ] dt^{1}\wedge >...\wedge dt^{p}$, that produces the Poisson-gradient systems, is continuous, and some conditions in which the general action $ϕ(u) = \displaystyle\displaystyle\int_{T_{0}}L(t,u(t), \displaystyle\displaystyle\frac{\partial u}{\partial t}(t)) dt^{1}\wedge >...\wedge dt^{p}$ is continuously differentiable. The Section 3 studies the multiple periodical solutions of a Poisson-gradient system in the case when the potential function $F$ has a spatial periodicity.
dc.description14 pages, Key words: variational methods, elliptic systems, multi-periodic solutions; Communicated at 8-th International Conference of Tensor Society, August 22-26, 2005, Varna, Bulgaria
dc.identifierhttps://arxiv.org/abs/math/0510559
dc.identifierhttp://arxiv.org/abs/math/0510559
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103817
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.subject35J50, 35J55
dc.titlePeriodical Solutions of Poisson-Gradient Dynamical Systems with Periodical Potential
dc.typetext

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