文章基本信息

标题：New concepts of Hahn calculus and impulsive Hahn difference equations
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作者：Jessada Tariboon ; Sotiris K Ntouyas ; Weerawat Sudsutad 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：255
DOI：10.1186/s13662-016-0982-4
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we introduce new concepts of Hahn difference operator, the q k , ω k $q_{k},\omega_{k}$ -Hahn difference operator. We aim to establish a calculus of differences based on the q k , ω k $q_{k},\omega_{k}$ -Hahn difference operator. We construct a right inverse of the q k , ω k $q_{k},\omega_{k}$ -Hahn operator and study some of its properties. As applications, we establish existence and uniqueness results for first- and second-order impulsive q k , ω k $q_{k},\omega_{k}$ -Hahn difference equations.
关键词：Hahn difference operator ; Jackson q -difference operator ; Jackson q -integral ; Nörlund sums ; impulsive difference equations