Poisson-Gradient Dynamical Systems with Bounded Non-Linearity
动力系统
2007-05-23 v1 偏微分方程分析
摘要
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.
引用
@article{arxiv.math/0510438,
title = {Poisson-Gradient Dynamical Systems with Bounded Non-Linearity},
author = {Constantin Udriste and Iulian Duca},
journal= {arXiv preprint arXiv:math/0510438},
year = {2007}
}
备注
15 pages