摘要
利用“上下解”方法[1] ,讨论了非线性 4n阶常微分方程y( 4n) =f(t,y ,y′,y″,… ,y( 4n -1) ) ( )满足如下条件y(a) =a0 ,y″(a) =a2 ,y( 4 ) (a) =a4,… ,y( 4n -2 ) (a) =a4n -2 ,y′(c) =c1,y (c) =c3 ,y( 5 ) (c) =c5 ,… ,y( 4n-3 ) (c) =c4n -3 ,y( 4n -2 ) (c) =c4n -2的两点边值问题解的存在性。其中函数 f是具有一定单调性质的连续函数 ,a ,c及ai,ci 均为实数。
In this paper,the authors use the methods in [1,2] to study the existence of solutions of two point bounday value problems for nonlinear 4nth order differential equation y (4n) =f(t,y,y′,…,y (4n-1) ) with the boundary conditions y(a)=a 0,y″(a)=a 2,y 4n (a)=a 4,…,y 4n-2 (a)=a 4n-2 , y′(c)=c 1,y(c)=c 3,y (5) (c)=c 5,…,y (4n-3) (c)=c 4n-3 ,y (4n-2) (c)=c 4n-2 where function f is a continuous function with certain monotone conditions,and a,c,a i and c i are all reals. [WT5HZ]
出处
《东北电力学院学报》
2000年第2期15-17,33,共4页
Journal of Northeast China Institute of Electric Power Engineering
基金
东北电力学院科研基金
关键词
非线性4n阶常微分方程
两点边值问题
解
存在性
Nonlinear 4nth order clifferential equation
two point boundary value problems
Existence of Solutions.
