MMN-1312
Weakly nonlinear boundary value problem for a matrix differential equation
Abstract
Found solvability conditions and construction of the generalized Green operator for Noetherian linear boundary value problem for the matrix differential equations and solvability conditions and the constructive scheme for constructing solutions of nonlinear Noetherian boundary value problem for matrix differential equation. We show that the principal results
in the theory of weakly nonlinear periodic oscillations remain valid for nonlinear Noetherian boundary value problem for matrix differential equation. Efficiency of the proposed solvability conditions and the scheme for constructing solutions of nonlinear Noetherian boundary value problem for matrix differential equation
is illustrated by an example of a periodic problem for a Duffing-type equation.
Vol. 17 (2016), No. 1, pp. 139-150
DOI: 10.18514/MMN.2016.1312