摘要
在Sturm-Liouville边界条件下研究较广泛的一类四阶奇异半正微分方程,得到其G^2[0,1]正解与C^3[0,1]正解存在的新结果,并给出了其正解与该边值问题的格林函数之间的某些联系.
A class of singular semipositone fourth order differential equations with Sturm- Liouville boundary value conditions is considered. Some new results on the existence of C^2 positive solutions and C^3 positive solutions for this class of differential equations are derived. Finally, some relations between the solutions and the Green＇s functions are derived.
出处
《系统科学与数学》
CSCD
北大核心
2009年第3期378-388,共11页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(10871116)
山东省自然科学基金(Y2006A04)
高教博士点专项科研基金(200804460001)资助项目.
关键词
奇异边值问题
半正
正解
超线性
锥
Singular boundary value problem, semipositone, positive solutions, superlinear, cone.
