8
Positive Solutions of Some Fourth-order Two Point Boundary Value Problem with All Order Derivatives
Authors: Fei Yang, Yuanjian Lin
Number of views: 424
In this paper, by the use of a new fixed point theorem and the Boundary Value Problem’s
Green function. the existence of at least one positive solutions for the fourth-order two point boundary
value problem with all order derivatives
u
(4)(t) + u
00 (t) = λf(t, u(t), u
0
(t), u
00 (t), u
000 (t)), t ∈ [0, 1],
u(0) = u(1) = u
00 (0) = u
00 (1) = 0.
is considered, where f is a nonnegative continuous function and λ > 0, 0 < A < π2
.