Existence of Positive Solutions for a Fourth-Order Periodic Boundary Value Problem

被引：1
|
作者：
Li, Yongxiang [1 ]
机构：
[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2011年
关键词：
D O I：
10.1155/2011/826451
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence results of positive solutions are obtained for the fourth-order periodic boundary value problem u((4)) - beta u '' + alpha u = f(t, u, u ''), 0 <= t <= 1, u((i))(0) = u((i))(1), i = 0, 1, 2, 3, where f : [0, 1] x R(+) x R -> R(+) is continuous, alpha, beta is an element of R, and satisfy 0 < alpha < ((beta/2) + 2 pi(2))(2), beta > -2 pi(2), (alpha/pi(4)) + (beta/pi(2)) + 1 > 0. The discussion is based on the fixed point index theory in cones.
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页数：12
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