Adomian decomposition method for a nonlinear autonomous boundary-value problem for a nondegenerate differential-algebraic system

Abstract

By using a hybrid technique based on the Adomian decomposition method and the Newton – Kantorovich method, we find constructive conditions of solvability and develop a scheme for construction of solutions of a nonlinear autonomous boundary-value problem for a nondegenerate differential-algebraic system. We construct a convergent iteration scheme for determination of approximations of solutions of a nonlinear autonomous boundary-value problem for a nondegenerate differential-algebraic system.