Existence of solutions for a third-order boundary value problem with p-Laplacian operator and nonlinear boundary conditions

被引：0
|
作者：
Ma, De-Xiang [1 ]
Sun, Shu-Zhen [1 ]
机构：
[1] N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
来源：
PORTUGALIAE MATHEMATICA | 2009年 / 66卷 / 01期
关键词：
Third-order nonlinear boundary condition; Nagumo condition; Schauder fixed point theorem;
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 study the third-order nonlinear boundary value problem {(phi(/u ''))'(t) + f(t, u(t), u'(t), u ''(t)) = 0 a.e. t is an element of [0, 1], u(0) = 0, g(u'(0), u ''(0)) = A, h(u'(1), u ''(1)) = B, where A, B is an element of R, f : [0, 1] x R-3 -> R is a Caratheodory function, g, h is an element of C-0(R-2, R) and phi is an element of C-0(R, R). Using apriori estimates, the Nagumo condition, upper and lower solutions and the Schauder fixed point theorem, we are able to prove existence of solutions of this problem.
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收藏
页码：13 / 27
页数：15
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