E. S. Zhukovskii, E. A. Pluzhnikova, “On a periodic boundary value problem for an implicit differential equation”, Izv. IMI UdGU, 2012, Issue 1(39),Pages <nobr>52

This article is cited in 1 paper

On a periodic boundary value problem for an implicit differential equation

E. S. Zhukovskii^a, E. A. Pluzhnikova^b

^a Institute of Mathematics, Physics and Information Science, Tambov State University
^b Tambov State University

Abstract: We derive the conditions of solvability of a periodic boundary value problem for a differential equation unsolved for the derivative. Methods of the theory of covering mappings are used.

Keywords: periodic boundary value problem, implicit differential equation, covering and conditionally covering mappings.

UDC: 517.988.6, 517.922, 517.927.4

MSC: 34B15, 47N20

Received: 15.02.2012