Some generalized Volterra–Fredholm type dynamical integral inequalities in two independent variables on time scale pairs

Advances in Difference Equations

article

Liu, Haidong¹  Yin, Chuancun² 

[1] School of Mathematical Sciences, Qufu Normal University;School of Statistics, Qufu Normal University

关键词: Time scale;    Dynamical integral inequality;    Volterra–Fredholm type;    Two independent variables;   

DOI  :  10.1186/s13662-020-2504-7

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we study some new Volterra–Fredholm type dynamical integral inequalities in two independent variables on time scale pairs, which provide explicit bounds on unknown functions. These inequalities generalize and extend some known inequalities and can be used as effective tools in the qualitative theory of certain classes of partial dynamic equations on time scales. Finally, an example is provided to illustrate the usefulness of our result.

【 授权许可】

CC BY