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
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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
SN - 0893-9659
VL - 21
SP - 176
EP - 180
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
IS - 2
ER -