本文利用Galerkin方法研究一类具有非局部边界的非线性电报方程,得出弱解的存在唯一性以及对初值的连续依赖性.
The present paper is devoted to the investigation of a nonlinear telegraph equation with nonlocal boundary conditions by means of the Galerkin method. Existence,uniqueness and continuous dependence upon data of a weak solution are proved.