一类二阶q-对称差分方程两点边值问题解的存在性  

Existence of solutions for a class of q-symmetric difference equation two points boundary value problem

作　　者：徐佳宁[1] 龚学[1] 吴凡[1] 侯成敏[1] 

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《延边大学学报（自然科学版）》2015年第3期189-195,共7页Journal of Yanbian University（Natural Science Edition）

摘　　要：研究了一类二阶q-对称差分方程两点边值问题解的存在性.首先,利用Bananch空间压缩映像原理获得了解的存在唯一性结果;其次,在一定的边界条件下,通过假设非线性项具有超线性和次线性性,建立了该问题存在正解的充分性条件.We considered the existence of solutions for a class of the two points boundary value problem of q-symmetric difference equation.First,we obtained the existence and uniqueness of solutions by using the generalized Banach contraction principle.Then under some boundary value conditions,sufficient conditions of existence of positive solutions are established in both the superlinear and sublinear cases.

关 键 词：q-对称差分方程 边值问题 不动点 超线性和次线性 

分 类 号：O175[理学—数学]