A periodic boundary value problem with vanishing Green's function

In this work, the authors consider the boundary value problem y + a(t)y = g(t) f (y), 0 t 2, y(0) = y(2), y (0) = y (2), and establish the existence of nonnegative solutions in the case where the associated Green's function may have zeros. The results are illustrated with an example. c 2007 Elsevier Ltd. All rights reserved.

• Type: Journal
• Year: 2008
• Where: APPML
• Authors: John R. Graef, Lingju Kong, Haiyan Wang
• Keywords: APPML 2008, Associated Green, Boundary Value Problem, Nonnegative Solutions