Derivation of dynamical integral inequalities based on two-dimensional time scales theory

Journal of inequalities and applications

article

Zareen A. Khan¹  Fahd Jarad²  Aziz Khan³  Hasib Khan⁴ 

[1] Department of Mathematics, College of Science, Princess Nourah bint Abdulrahman University;Department of Mathematics, Çankaya University;Department of Mathematics and General Sciences, Prince Sultan University;Shaheed Benazir Bhutto University

关键词: Integral inequalities;    Time scales;    Nondecreasing;    Dynamic equations;   

DOI  :  10.1186/s13660-020-02475-w

学科分类：电力

来源: SpringerOpen

【 摘 要 】

The main goal of this paper is to set up some new estimates of a specific class of dynamic integral inequalities (DII) which are partially linear on a time scale $\mathbb{T}$ with two independent variables. These, from the one hand, sum up and, on the other hand, offer a helpful method for both the qualitative and quantitative study of dynamic equations on time scales. Some applications are taken into consideration to show the validity of the fundamental results.

【 授权许可】

CC BY