Poisson-Gradient Dynamical Systems with Bounded Non-Linearity

Details Poisson-Gradient Dynamical Systems with Bounded Non-Linearity Poisson-Gradient Dynamical Systems with Bounded Non-Linearity

2005-10-20

arxiv.org/abs/math/0510438v1

Mathematics

Dynamical Systems

15 pages

Scientific paper

We study the periodical solutions of a Poisson-gradient PDEs system with bounded nonlinearity. Section 1 introduces the basic spaces and functionals. Section 2 studies the weak differential of a function and establishes an inequality. Section 3 formulates some conditions under which the action functional is continuously differentiable. Section 4 analyzes the Poisson-gradient systems and some conditions that ensure periodical solutions.

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