Dorosh A. Approximation of boundary value problem solutions for differential-difference equations with variable delay

The thesis is devoted to the study of sufficient conditions for existence and the development of methods for finding approximate solutions of certain classes of boundary value problems for differential-functional equations with variable delay. In particular, linear and nonlinear boundary-value problems with delay and of neutral type are considered, as well as boundary value problems for integro-differential equations with a deviating argument. A scheme of finding an approximate solution of the aforementioned boundary value problems is investigated, which is based on the approximation of the solution using cubic splines with the defect 2.