研究了一类抽象耦合非线性方程组的初值问题,运用Galerkin方法证明了方程整体弱解的存在性,研究对象所在空间均为Hilbert空间.
In this paper, we studied an abstract coupled nonlinear equations with certain intial conditions, the existence of a global solution for the equations is proved in a Hilbert space framework by using Galerkin method.