摘要
考虑具有p-Laplacian算子的四阶微分方程非局部边值问题.通过构造Green函数,利用上下解方法,结合单调迭代技巧得到了四阶非局部边值问题迭代解的存在性.最后给出实例验证主要结论.
We consider fourth-order differential equation nonlocal boundary value problem with a p-Laplacian. We obtain iterative solution of fourth-order nonlocal boundary value problem by constructing Green＇s function, using the method of upper and l ower solution and combining the technique of monotone iteration. Finally, we give an example to illustrate our main result.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第21期202-206,共5页
Mathematics in Practice and Theory
基金
中国农业大学科研启动基金(2009007)
关键词
上下解
非局部边值问题
GREEN函数
upper and lower solution
nonlocal boundary value problem
Green＇s function
