Delay dynamic double integral inequalities on time scales with applications

Advances in Difference Equations

article

Rafeeq, Sobia¹  Kalsoom, Humaira²  Hussain, Sabir³  Rashid, Saima⁴  Chu, Yu-Ming⁵ 

[1] Department of Mathematics and Statistics, University of Lahore;School of Mathematical Sciences, Zhejiang University;Department of Mathematics, University of Engineering and Technology;Department of Mathematics, Government College (GC) University;Department of Mathematics, Huzhou University

关键词: Delay integral inequality;    Time scale;    Dynamic equation;    Discrete inequality;    Boundedness;   

DOI  :  10.1186/s13662-020-2516-3

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In the article, we present the explicit bounds for three generalized delay dynamic Gronwall–Bellman type integral inequalities on time scales, which are the unification of continuous and discrete results. As applications, the boundedness for the solutions of delay dynamic integro-differential equations with initial conditions is discussed.

【 授权许可】

CC BY