葛琦;侯成敏;

• 1:延边大学理学院数学系

摘要(Abstract)：

研究一类带有参数的分数阶差分方程正解的存在性和不存在性。首先,分析该方程的格林函数的一些性质;然后,利用Banach空间锥上的不动点指数定理和Krasnosel'skii不动点定理,证明当参数属于不同范围时,该方程正解的存在性;最后,利用反证法,证明当参数属于不同范围时,该方程正解的不存在性。

关键词(KeyWords)：Green函数;不动点指数定理;不动点定理;不存在性

Abstract:

Keywords:

基金项目(Foundation):国家自然科学基金项目(11161049);; 吉林省教育厅“十二五”科技项目(吉教科合字[2015]第36号)

作者(Author):葛琦;侯成敏;

Email:

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