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

Journal of inequalities and applications

Awais Younus¹ 

关键词: interval-valued functions;    generalized Hukuhara difference;    the Kulisch-Miranker order;    time scales;    dynamic inequality;    Gronwall inequality;    26D15;    26E25;    39A12;    34N05;   

DOI  :  10.1186/s13660-015-0797-y

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY