Title: Two sided bounds and positivity conditions for the Green function to periodic problem for a higher order ODE

Authors: M.I. Gil'

Addresses: Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel

Abstract: In the present paper we establish the positivity conditions and two-sided bounds for the Green function to the periodic problem for a nonautonomous higher order ordinary differential equation (ODE). These results enable us to formulate the positivity conditions for solutions to nonlinear equations.

Keywords: nonautonomous higher order ODE; ordinary differential equations; periodic problems; Green function; positivity conditions; nonlinear equations.

DOI: 10.1504/IJDSDE.2009.031105

International Journal of Dynamical Systems and Differential Equations, 2009 Vol.2 No.3/4, pp.253 - 261

Published online: 20 Jan 2010 *

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