TY - JOUR
T1 - Upper and lower solution method for fourth-order four-point boundary value problems
AU - Zhang, Qin
AU - Chen, Shihua
AU - Lü, Jinhu
PY - 2006/11/15
Y1 - 2006/11/15
N2 - This paper is concerned with the fourth-order ordinary differential equationu(4) (t) = f (t, u (t), u″ (t)), 0 < t < 1with the four-point boundary conditionsu (0) = u (1) = 0, au″ (ξ1) - bu‴ (ξ1) = 0, cu″ (ξ2) + du‴ (ξ2) = 0,where ξi ∈ [0, 1](i = 1, 2) and a, b, c, d are nonnegative constants satisfying ad + bc + ac (ξ2 - ξ1) > 0. Some new existence results are obtained by developing the upper and lower solution method and the monotone iterative technique.
AB - This paper is concerned with the fourth-order ordinary differential equationu(4) (t) = f (t, u (t), u″ (t)), 0 < t < 1with the four-point boundary conditionsu (0) = u (1) = 0, au″ (ξ1) - bu‴ (ξ1) = 0, cu″ (ξ2) + du‴ (ξ2) = 0,where ξi ∈ [0, 1](i = 1, 2) and a, b, c, d are nonnegative constants satisfying ad + bc + ac (ξ2 - ξ1) > 0. Some new existence results are obtained by developing the upper and lower solution method and the monotone iterative technique.
KW - Four-point boundary conditions
KW - Fourth-order ordinary differential equation
KW - Lower and upper solution method
UR - https://www.scopus.com/pages/publications/33746239224
U2 - 10.1016/j.cam.2005.09.007
DO - 10.1016/j.cam.2005.09.007
M3 - 文章
AN - SCOPUS:33746239224
SN - 0377-0427
VL - 196
SP - 387
EP - 393
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 2
ER -