A. I. Perov, V. K. Kaverina, “Research of the nonautonomous system of ODE by the ideas of the method of guiding functions”, Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 123,Pages <nobr>510

Scientific articles

Research of the nonautonomous system of ODE by the ideas of the method of guiding functions

A. I. Perov^a, V. K. Kaverina^b

^a Voronezh State University
^b Voronezh State Technical University

Abstract: We indicate sufficient conditions connected with the method of guiding functions, under which periodically perturbed autonomous system of ODE has an periodic solution.

Keywords: periodically perturbed autonomous system of ODE, topological degree of transformation, Steclov average, coercitivity of transformation.

UDC: 517.925.52

Received: 16.04.2018

DOI: 10.20310/1810-0198-2018-23-123-510-516