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# A periodic boundary value problem with vanishing Green's function

@article{Graef2008APB, title={A periodic boundary value problem with vanishing Green's function}, author={John R. Graef and Lingju Kong and Haiyan Wang}, journal={Appl. Math. Lett.}, year={2008}, volume={21}, pages={176-180} }

- Published 2008 in Appl. Math. Lett.
DOI:10.1016/j.aml.2007.02.019

In this work, the authors consider the boundary value problem { y + a(t)y = g(t) f (y), 0 ≤ t ≤ 2π, y(0) = y(2π), y(0) = y(2π), 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.