Feruk V. Methods of the Investigation of Differential Equations with Delay and Restrictions

In the thesis the initial problem for the system of differential equations with delay and restrictions is considered. The investigation technique is developed of the problem based on bringing it to the defined system of integral equations without delay and restrictions. The consistency conditions of the problem are obtained in cases of systems of linear and quasilinear equations. New variants of iterative and projective-iterated methods of the determination of approached solutions of systems of linear differential equations with delay and restrictions are offered. For the system of quasilinear equations new variants of iterative and modified projective-iterated methods are constructed. The conditions of convergence and estimation of an error of the proposed methods are obtained. The effective computing circuits are developed