Positive solution of fourth order ordinary differential equation with four-point boundary conditions
نویسندگان
چکیده
In this work, the authors consider the fourth order nonlinear ordinary differential equation u(4)(t) = f (t, u(t)), 0 < t < 1, with the four-point boundary conditions u(0) = u(1) = 0, au′′(ξ1)− bu′′′(ξ1) = 0, cu′′(ξ2)+ du′′′(ξ2) = 0, where 0 ≤ ξ1 < ξ2 ≤ 1. By means of the upper and lower solution method and fixed point theorems, some results on the existence of positive solutions to the above four-point boundary value problem are obtained. © 2005 Elsevier Ltd. All rights reserved.
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عنوان ژورنال:
- Appl. Math. Lett.
دوره 19 شماره
صفحات -
تاریخ انتشار 2006