This article is cited in 1 paper

Explicit form of characteristic numbers of a periodic problem

V. S. Mokeichev

Chair of Applied Mathematics, Kazan State University, Kazan, Russia

Abstract: A periodic problem for a linear differential equation of the second order is reduced to a periodic problem for a differential equation of the first order, but with deviation argument. We indicate the cases when the characteristic numbers are determined explicitly. This paper is the continuation of investigations commenced in “Differents. Uravneniya”, {\textbf44} (4) (2008).

Keywords: differential equations, periodic problem, nonzero solutions, characteristic numbers.

UDC: 517.929

Received: 21.01.2009

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:10, 38–43

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