Delay dynamic double integral inequalities on time scales with applications

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

New Generalized Delay Integral Inequalities On Time Scales

Abstract: In this paper, some new delay integral inequalities with two independent variables on time scales are established, which can be used as a hand tool in the investigation of qualitative properties of solutions of delay dynamic equations on time scales. Some applications for the established inequalities are also presented, and new explicit bounds on unknown functions of delay dynamic equ...

Bounds for Certain Delay Integral Inequalities on Time Scales

The unification and extension of differential equations, difference equations, q-difference equations, and so on to the encompassing theory of dynamic equations on time scales was initiated by Hilger 1 in his Ph.D. thesis in 1988. During the last few years, some integral inequalities on time scales related to certain inequalities arising in the theory of dynamic equations had been established b...

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 dynamic integral inequalities on time scales