三阶非线性两点边值问题解的存在性  

The Existence of Solutions for a Third-Order Nonlinear Two-Point Boundary Value Problem

作　　者：张宏旺[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《甘肃联合大学学报（自然科学版）》2008年第6期15-17,共3页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：考虑三阶非线性两点边值问题-u′″(t)=f(t,u(t)),t∈[0,1],u(0)=u′(0)=u′(1)=0解的存在性,其中f(t,u):[0,1]×R→R为连续函数.利用新的极大值原理以及上下解的单调迭代方法推广了已有的解的存在性结果.并用一实例说明其应用.In this paper we consider the existence of solutions for the third-order nonlinear two-point boundary value problem {-u′″（t）=f（t,u（t））,t∈[0,1],u（0）=u′（0）=u′（1）=0 where f（t,u）：[0,1]×R→R is continuous. A new maximum principle and the upper and lower solution method are employed to extend some known existence results. Besides,it provides an example to illustrate the application of the main result.

关 键 词：三阶边值问题 极大值原理 上下解 单调迭代 

分 类 号：O175.8[理学—数学]