EXISTENCE OF SOLUTIONS FOR A FOURTH-ORDER BOUNDARY-VALUE PROBLEM

被引：0
作者：
Liu, Yang [1 ,2 ]
机构：
[1] Yanbian Univ, Dept Math, Yanji 133000, Jilin, Peoples R China
[2] Huaiyin Teachers Coll, Dept Math, Huaian 223300, Jiangsu, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年
关键词：
Fourth-order boundary-value problem; upper and lower solution; Riemann-Stieltjies integral; Nagumo-type condition;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use the lower and upper solution method to obtain an existence theorem for the fourth-order boundary-value problem u((4))(t) = f(t, u(t), u'(t), u ''(t), u"'(t)), 0 < t < 1, u(0) = u'(1) = u ''(0) = 0, u'''(1) = g(integral(1)(0) u ''(t)d theta(t)), where f : [0, 1] x R-4 -> R, g : R -> R are continuous and may be nonlinear, and integral(1)(0) u ''(t)d theta(t) denotes the Riemann-Stieltjes integral.
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页数：7
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