Evaluation of solutions of one class of finite-dimensional nonlinear equations. II

In this article, we obtain two theorems on a priori estimates for solutions of nonlinear equations in a finite-dimensional space. These theorems are proved under certain conditions, which are borrowed from the conditions which are satisfied by finite-dimensional approximations of one class of nonlinear initial-boundary value problems. This article is a continuation of the first part with the same title. In this paper, we prove the second theorem.