节点文献
二阶奇异微分方程边值问题的正解
Positive Solutions for Second-order Singular Boundary Value Problems of Differential Equations
【摘要】 利用上下解方法研究二阶奇异微分方程u″+f(t,u)=0在边界条件αu(0)-βu′(0)=0,γu(1)+δu′(1)=0下正解的存在性.允许f(t,u)在t=0,1处奇异.
【Abstract】 This paper studies the existence of positive solutions for second-order singularordinary differential equation u″+f(t,u)=0 with the common boundary value conditionsαu(0)-βu′(0)=0,γu(1)+δu′(1)=0.It is proved by means of upper and lower solutionmethod.
【关键词】 奇异边值问题;
锥;
上下解;
正解;
【Key words】 singular BVPs; cone; upper and lower solution; positive solutions;
【Key words】 singular BVPs; cone; upper and lower solution; positive solutions;
【基金】 国家自然科学基金(10671167)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2010年14期
- 【分类号】O175.8
- 【被引频次】1
- 【下载频次】181