Abstract
AbstractIn this paper, we build up some generalizations of nonlinear integral inequalities and recreate the results of some Pachpatte’s inequalities on time scales. We not just settle new estimated bounds of a particular class of nonlinear retarded dynamic inequalities, but additionally determine and unify continuous analogs alongside a subjective time scale $\mathbb{T}$
T
. We demonstrate applications of the treated inequalities to reflect the benefits of our work. The key effects will be proven by using the analysis procedure and the standard time-scale comparison theorem technique.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference32 articles.
1. Hilger, S.: Analysis on measure chains—a unified approach to continuous and discrete calculus. Results Math. 18, 18–56 (1990)
2. Bohner, M., Georgiev, S.G.: Multivariable Dynamic Calculus on Time Scales. Springer, Cham (2016)
3. Bohner, M.: Partial differentiation on time scales. In: Multivariable Dynamic Calculus in Time Scales, pp. 303–447 (2016)
4. Boukerrioua, K., Meziri, I., Chiheb, T.: Some refinements of certain Gamidov integral inequalities on time scales and applications. Kragujev. J. Math. 42(1), 131–152 (2018)
5. Agarwal, R., Bohner, M., Peterson, A.: Inequalities on time scales, a survey. Math. Inequal. Appl. 4, 535–557 (2001)
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献