高阶非局部奇异半正边值问题正解的存在性问题

Positive solutions to semipositone higher order singular nonlocal boundary value problems

利用锥拉伸和锥压缩型的Krasnosel'skii不动点定理,研究了一类边值中含有Riemann-Stieltjes积分的奇异高阶半正边值问题正解的存在性问题,其中非线性项.f(t,x)在t=0和t=1处具有奇异性.给正参数λ和函数f(t,x)赋予一定的条件,使得上述问题至少存在一个正解.

By using the Krasnosel＇skii fixed point theorem of the cone expansion-compression type,the existence of positive solutions were considered for a class semipositone higher order singular nonlocal boundary value problems involving Riemann-Stieltjes integral conditions,where f（t,x） are singular at t=0 and t=1. Conditions on positive parameter A and f（t,x） were given that can guarantee the existence of at least one positive solution to the above problem.