MATHEMATICS

Application of the existence theorem and estimate of solutions of the perturbed inclusion to the study of the perturbed linear problem

A. A. Grigorenko

Tambov State University named after G.R. Derzhavin

Abstract: In the article, a statement about estimation of the closeness of solutions of the perturbed inclusion to a given continuous function is formulated. An application of this statement to the study of perturbation of a linear boundary value problem for functional-differential equations is considered.

Keywords: perturbed inclusion, estimation of solutions, perturbed linear boundary value problem.

UDC: 517.911, 517.968

Received: 22.08.2017

DOI: 10.20310/1810-0198-2017-22-6-1277-1284