摘要
考察一类带有参数λ的四阶奇异非线性微分方程边值问题,利用锥压缩和锥拉伸Krasnoselskii's不动点定理获得其正解的存在性.
In this paper, by using Krasnoselskii's fixed point theorem of cone expansion-compression type, the existence of positive solutions of boundary value problem for certain nonlinear singular fourth - order differential equation with parameter is discussed.
出处
《曲阜师范大学学报(自然科学版)》
CAS
2008年第4期19-26,共8页
Journal of Qufu Normal University(Natural Science)
基金
国家自然科学基金(10471075
10671167)
山东省自然科学基金(Y2004A06)
关键词
正解
非线性奇异边值问题
不动点定理
锥
positive solution
nonlinear singular boundary value problem
fixed point theorem
cone