TY - JOUR
T1 - Existence principles and a upper and lower solution theory for the one-dimension p-Laplacian singular boundary value problem with sign changing nonlinearities
AU - Agarwal, R. P.
AU - Gao, H.
AU - Jiang, D.
AU - O'Regan, D.
AU - Zhang, X.
PY - 2006/3
Y1 - 2006/3
N2 - The singular boundary value problem {(Φ(u′))′ + q(t)g(t,u) = 0, 0 < t < 1, u(0) = 0, u(1) + φ(u′(1)) = 0 is studied in this paper; here Φ(s) = |s|p-2s, p > 1, and φ is a continuous, strictly increasing odd function defined on (-∞, +∞). The singularity may occur at u = 0 or t = 0, and the function g may be superlinear at u = ∞ and may change signs. The existence of solutions is obtained via an upper and lower solutions method and existence principles.
AB - The singular boundary value problem {(Φ(u′))′ + q(t)g(t,u) = 0, 0 < t < 1, u(0) = 0, u(1) + φ(u′(1)) = 0 is studied in this paper; here Φ(s) = |s|p-2s, p > 1, and φ is a continuous, strictly increasing odd function defined on (-∞, +∞). The singularity may occur at u = 0 or t = 0, and the function g may be superlinear at u = ∞ and may change signs. The existence of solutions is obtained via an upper and lower solutions method and existence principles.
UR - http://www.scopus.com/inward/record.url?scp=33644780045&partnerID=8YFLogxK
M3 - Article
SN - 1056-2176
VL - 15
SP - 3
EP - 20
JO - Dynamic Systems and Applications
JF - Dynamic Systems and Applications
IS - 1
ER -