Нетерова краевая задача в особом критическом случае

Abstract

We study the problem of finding the existence conditions and the construction of solutions of weakly nonlinear Noetherian boundary-value problems for systems of ordinary differential equations. We consider the particular critical case where the equation for generating amplitudes is satisfied identically. We give a new classification of the critical cases and an iterative algorithm for the construction of the solutions of Noetherian weakly nonlinear boundary-value problems in a particular critical case.