On Gronwall type inequalities for interval-valued functions on time scales

被引：3
|
作者：
Younus, Awais [1 ]
Asif, Muhammad [1 ]
Farhad, Khurram [1 ]
机构：
[1] Bahauddin Zakaryia Univ, Ctr Adv Studies Pure & Appl Math, Multan, Pakistan
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年
关键词：
interval-valued functions; generalized Hukuhara difference; the Kulisch-Miranker order; time scales; dynamic inequality; Gronwall inequality;
D O I：
10.1186/s13660-015-0797-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by using the concept of gH-differentiability and the Kulisch-Miranker order on intervals, we investigate some Gronwall type inequalities for interval-valued functions defined on time scales, which provide explicit bounds on unknown functions. Our results unify and extend some continuous inequalities and for discrete case all are new.
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页数：18
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