Some Delay Integral Inequalities on Time Scales and Their Applications in the Theory of Dynamic Equations

Some Delay Integral Inequalities on Time Scales and Their Applications in the Theory of Dynamic Equations

and Applied Analysis 3 Theorem 2.9 see 27 . If f, g ∈ T,R , and t ∈ T, then i

Some New Delay Integral Inequalities On Time Scales Arising In The Theory Of Dynamic Equations

In this paper, some new types of delay integral inequalities on time scales are established, which can be used as a handy tool in the investigation of making estimates for bounds of solutions of delay dynamic equations on time scales. Our results generalize the main results in [15, 16, 17], and some of the results in [18, 19]. Key–Words: Delay integral inequality; Time scale; Integral equation;...

On Some Integral Inequalities on Time Scales and Their Applications

The theory of time scales was introduced by Hilger 1 in 1988 in order to contain both difference and differential calculus in a consistent way. 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 papers 2–12 and the references cited there in. In this paper, w...

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...

Some nonlinear dynamic integral inequalities on time scales