带积分边界条件的奇异方程组边值问题的正解

摘要

考虑了一类具p⁃Laplacian算子型带积分边界条件的三点奇异方程组边值问题正解的存在性。通过使用锥上的不动点定理，在适当的条件下，建立了这类方程组边值问题存在一个或多个正解的充分条件，并给出两个例子来验证主要结果。%In this paper, we consider the positive solutions for a class of three⁃point singular boundary value systems with a p⁃Laplacian operator under integral boundary condition.By using the fixed point theorem,under ap⁃propriate conditions,we establish the sufficient conditions for the existence of positive solution about this class of boundary value problem,and give two examples to illustrate our results.