TY - JOUR

T1 - A periodic boundary value problem with vanishing Green's function

AU - Graef, John R.

AU - Kong, Lingju

AU - Wang, Haiyan

N1 - Funding Information:
The research of J.R. Graef was supported in part by the Office of Academic and Research Computing Services of the University of Tennessee at Chattanooga.

PY - 2008/2

Y1 - 2008/2

N2 - In this work, the authors consider the boundary value problem {(y″ + a (t) y = g (t) f (y), 0 ≤ t ≤ 2 π,; y (0) = y (2 π), y′ (0) = y′ (2 π),) 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.

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

KW - Existence of nonnegative solutions

KW - Krasnosel'skii's theorem

KW - Periodic boundary value problem

KW - Vanishing Green's function

UR - http://www.scopus.com/inward/record.url?scp=36549073639&partnerID=8YFLogxK

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U2 - 10.1016/j.aml.2007.02.019

DO - 10.1016/j.aml.2007.02.019

M3 - Article

AN - SCOPUS:36549073639

VL - 21

SP - 176

EP - 180

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

IS - 2

ER -