摘要
研究了一类非线性四阶微分方程奇异Sturm-Liouville边值问题,利用锥上的不动点定理得到了这类方程的C^3[0,1]正解和C^2[0,1]正解存在的充分必要条件.
This paper studies a class of singular Sturm-Liouville boundary value problems of fourth- order differential equations. A necessary and sufficient condition for the existence of C^3[0, 1] positive solutions as well as C^2[0, 1] positive solutions of the nonlinear differential equations is established by means of the fixed point theorems on cones.
出处
《应用泛函分析学报》
CSCD
2010年第2期143-148,共6页
Acta Analysis Functionalis Applicata
基金
亳州师范高等专科学校基金(BSKY0805)
安徽省自然科学基金(KJ2009B093)
山东大学数学学院基金(306001)
关键词
四阶微分方程
Sturm—Liouville边值问题
正解
充分必要条件
锥
fourth-order differential equations
Sturm-Liouville boundary value problems
positive solution
necessary and sufficient conditions
cone
