一类偶数阶Robin型积分边值问题三重正解的存在性

Existence of Triple Positive Solutions of a Even-Order Robin Type BVPs with Integral Boundary Conditions

利用Leggett-Williams不动点定理,得到非线性偶数阶微分方程y(2n)(t)=f(t,y(t),y″(t),…,y(2(n-1))(t)),t∈[0,1],满足Robin型积分边界条件y(2i)(0)=∫10ki(s)y(2i)(s)ds,y(2i+1)(1)=0,i=0,1,…,n-1的边值问题三重正解的存在性.

We obtained the existence of triple positive solutions for nonlinear even-order differential equation by using the Leggett-Williams fixed point theorem y（2n）（t）=f（t,y（t）,y″（t）,…,y（2（n-1））（t））, t∈[0,1] with Robin type integral boundary conditions y（2i）（0）=∫ 01 ki（s）y（2i）（s）ds, y（2i＋1）（1）=0, i =0,1,…,n -1.