A class of retarded Volterra-Fredholm type integral inequalities on time scales and their applications

被引：31
作者：
Liu, Haidong [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年
基金：
中国国家自然科学基金;
关键词：
time scale; retarded integral inequality; Volterra-Fredholm type; NONLINEAR DYNAMIC INEQUALITIES; EQUATIONS; 2ND-ORDER;
D O I：
10.1186/s13660-017-1573-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study some new retarded Volterra-Fredholm type integral inequalities on time scales, which provide explicit bounds on unknown functions. These inequalities generalize and extend some known inequalities and can be used as tools in the qualitative theory of certain classes of retarded dynamic equations on time scales. Some applications are also presented to illustrate the usefulness of our results.
引用
收藏
页数：15
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