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In this paper we establish some new integral inequalities related to a certain inequality arising in the theory of dynamic equations on time scales.
Various empirical and theoretical studies indicate that cumulative network traffic is a Gaussian process. However, depending on whether the intensity at which sessions are initiated is large or small ...
Let T be a time scale. We study the existence of three positive solutions for the nonlinear four-point singular boundary value problem with p-Laplacian operator on time scales. Some new results are ob...
In this paper, we consider the existence of nontrivial solutions for nonlinear higher order multi-point boundary value problem on time scales with all derivatives. In the case where a nonlinearity may...
In this paper we establish some Cebysev's inequalities on time scales under suitable conditions.
We make use of the Guo-Krasnoselskii fixed point theorem on cones to prove existence of positive solutions to a non local p-Laplacian boundary value problem on time scales arising in many applications...
We prove Ostrowski inequalities (regular and weighted cases) on time scales and thus unify and extend corresponding continuous and discrete versions from the literature. We also apply our results to t...
In the study of dynamic equations on time scales we deal with certain dynamic inequalities which provide explicit bounds on the unknown functions and their derivatives. Most of the inequalities presen...
A more complete Young's integral inequality on arbitrary time scales (unbounded above) is presented.
We study some new dynamic inequalities for first order linear dynamic equations on time scales.
Various dynamic derivative formulae have been proposed in the development of a time scales calculus, with the goal of unifying continuous and discrete analysis. Recent discussion of combined dynamic d...

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