Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales

Some nonlinear dynamic integral inequalities on time scales

Some Nonlinear Dynamic Inequalities on Time Scales

Our aim in this paper is to establish some explicit bounds of solutions of a certain class of nonlinear dynamic inequalities on a time scale T which is unbounded above. Also, we establish some sufficient conditions for global existence and an estimate of the rate of decay of the solutions. These on the one hand generalizes and on the other hand furnish a handy tool for the study of qualitative ...

On Some Nonlinear Integral Inequalities on Time Scales

In this paper we study some nonlinear Pachpatte type integral inequalities on time scales by using a Bihari type inequality. Our results unify some continuous inequalities and their corresponding discrete analogues, and extend these inequalities to dynamic inequalities on time scales. Furthermore, we give some examples concerning our results.

Research Article Some Nonlinear Integral Inequalities on Time Scales

The theory of time scales was introduced by Hilger [1] in his Ph.D. thesis in 1988 in order to unify continuous and discrete analysis. Recently, many authors have extended some fundamental integral inequalities used in the theory of differential and integral equations on time scales. For example, we refer the reader to the literatures [2–8] and the references cited therein. In this paper, we in...

Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations

* Correspondence: [email protected] School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong, 273165, China Full list of author information is available at the end of the article Abstract In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equatio...