Stability of solutions of differential-operator and operator-difference equations with respect to perturbation of operators

B. S. Jovanovi\'c, S. V. Lemeshevsky, P. P. Matus and P. N. Vabishchevich

It is obtained estimates of stability with respect to perturbation of operator for solution of the first- and second-order differential-operator equations. For two- and three-level operator-difference schemes with weights similar estimates holds. Using the obtained results we construct the estimates of coefficient stability for one-dimensional parabolic and hyperbolic equations as well as for the difference schemes approximating the corresponding differential problems.