文章基本信息

标题：Lyapunov inequalities of left focal q -difference boundary value problems and applications
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作者：Lulu Zhang ; Yige Zhao ; Shurong Sun 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：2019
卷号：2019
期号：1
页码：1-14
DOI：10.1186/s13662-019-2014-7
出版社：Hindawi Publishing Corporation
摘要：In this paper, we establish some Lyapunov-type inequalities for a class of linear and nonlinear fractional q-difference boundary value problems under Cauchy boundary conditions. As applications, we use the inequality to obtain an interval, where Mittag-Leffler function has no real zeros. In addition, we also derive nonexistence results for fractional q-difference boundary value problem.
关键词：Lyapunov inequality ; Boundary value problem ; Fractional q -difference equations ; q -Mittag-Leffler function