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New integral inequality on time scales
Integral Inequalities Dynamic Equation and Inequalities
2010/9/25
In this paper we establish some new integral inequalities related to a certain inequality arising in the theory of dynamic equations on time scales.
On the superimposition of heterogeneous traffic at large time scales
heterogeneous traffic scales
2010/11/24
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 ...
Triple positive solutions of four-point singular boundary value problems for p-Laplacian dynamic equations on time scales
Time scales Four-point singular boundary value problems
2010/9/15
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...
Nontrivial solutions for nonlinear higher order multi-point boundary value problem on time scales with all derivatives
Time scale Positive solutions Higher order multi-point boundary
2010/9/15
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.
Existence of Positive Solutions for Non Local $p$-Laplacian Thermistor Problems on Time Scales
Time scales $p$-Laplacian Positive solutions Existence
2008/7/1
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...
Ostrowski Inequalities on Time Scales
Ostrowski inequality Montgomery identity Time scales
2008/6/27
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...
Pachpatte Inequalities on Time Scales
Time scales Pachpatte inequalities Dynamic equations and inequalities
2008/6/27
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...
Young's Integral Inequality on Time Scales Revisited
Dynamic equations Integral inequalities
2008/6/26
A more complete Young's integral inequality on arbitrary time scales (unbounded above) is presented.
e new dynamic inequalities for first order linear dynamic equations on time scales
Time scales Dynamic inequality Linear dynamic equation
2010/9/14
We study some new dynamic inequalities for first order linear dynamic equations on time scales.
Some results on the diamond-$\alpha$ dynamic derivative on time scales
Dynamic derivatives Combined formula Linear combination
2010/9/14
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...