一类高阶微分方程边值问题正解的存在性  

Positive solutions for higher order ordinary differential equation with boundary

作　　者：暴宁伟[1] 

机构地区：[1]河北工程大学理学院,河北邯郸056038

出　　处：《河北工程大学学报（自然科学版）》2007年第2期108-110,共3页Journal of Hebei University of Engineering:Natural Science Edition

摘　　要：假设m2<(2n-1)(n-1)!f、(x,u)在[0,1]×[0,∞)非负连续,利用锥拉伸与压缩不动点定理证明了高阶微分方程边值问题u(n)+m2u+f(x,u)=0,u(k)(0)=u(1)=0,0≤k≤n-2正解的存在性。The existence of positive solutions for higher order ordinary differential boundary with value problem as u^（n） ＋ m^2u ＋f（x, u） =0, u^（k）（0） = u（1） = 0,0≤ k≤ n - 2 was proven when m^2 〈 （2n - 1） （ n - 1 ） ! and f（ x, u） is non - negative consecutive. The positive solutions for higher order ordinary differential boundary with value problem were solved on the basis of the cone- fixed point theorem.

关 键 词：共轭边值问题 格林函数 锥不动点定理 

分 类 号：O241.81[理学—计算数学]