具有有界非线性项的Poisson-梯度动力系统
Poisson-Gradient Dynamical Systems with Bounded Non-Linearity
摘要：
研究了一类具有有界非线性项的Poisson梯度偏微分方程组的周期解。第一节介绍基本空间和泛函。第二节研究了函数的弱可微性，建立了一个不等式。第三节给出了作用泛函连续可微的条件。第四节分析了Poisson梯度系统的周期解及周期解存在的条件。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
