L. I. Sazonov, “On the Existence of Periodic Solutions of Ordinary Differential Equations with High-Frequency Summands in a Banach Space”, Mat. Zametki, 2016, Volume 100, Issue 6,Pages <nobr>900

This article is cited in 2 papers

On the Existence of Periodic Solutions of Ordinary Differential Equations with High-Frequency Summands in a Banach Space

L. I. Sazonov^ab

^a Southern Federal University, Rostov-on-Don
^b Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences

Abstract: The question of the existence of periodic solutions of linear ordinary differential equations with high-frequency summands in a Banach space is studied.

Keywords: ordinary differential equation, Banach space, high-frequency coefficient, rapidly oscillating solution.

UDC: 517.9

Received: 01.06.2016

DOI: 10.4213/mzm10548