摘要
运用Galerkin方法讨论了一类具有记忆项的耦合非线性抽象方程组的初值问题,根据方程组的特点,巧妙地对两个方程进行相加,并结合微积分的性质得到了所要的结果,然后研究收敛性,最后证明了方程组整体弱解的存在性.
This paper studied an initial boundary value problem for a coupled system of nonlinear abstract equations with memory term in Galerkin method. Two equations were added in view of the character of the system and the results were obtained by combing with the nature of the calculus. The convergence was studied, and the existence of a global weak solution for the abstract equations was proven.
出处
《动力学与控制学报》
2013年第2期159-164,共6页
Journal of Dynamics and Control
基金
国家自然科学基金(11172194)
山西省自然科学基金(2010011008)
山西省青年科技研究基金(2011021002-2)~~
关键词
记忆项
耦合
非线性
抽象方程组
整体解
memory term
coupling
nonlinear
abstract equations
global solution
