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The paper is concerned with the semipositone Sturm-Liouville-like boundary value problems of second-order differential systems on time scales with two parameters. Applying a fixed point theorem in con...
We introduce a fractional calculus on time scales using the theory of delta (or nabla)dynamic equations. The basic notions of fractional order integral and fractional order derivative on an arbitrary ...
By means of the shift operators we introduce a new periodicity concept on time scales. This new approach will enable researchers to investigate periodicity notion on a large class of time scales whose...
In this paper we establish some new integral inequalities related to a certain inequality arising in the theory of dynamic equations on time scales.
We consider a system x(t) = (x1(t), . . . , xN(t)) consisting of N Brownian parti-cles with synchronizing interaction between them occurring at random time moments {n}1 n=1. Under assumption that the...
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 ...
We survey the variety of ways in which one synchronizes to a stochastic process. We define associated length scales, providing characterization theorems and efficient algorithms for their calculation....
A stochastic model for a chemical reaction network is embedded in a one-parameter family of models with species numbers and rate constants scaled by powers of the parameter. A systematic approach is ...
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, by using the method of coincidence degree theory, we explore the existence of periodic solutions for a cooperative ecological model on time scales.
We prove the Gr¨uss inequality on time scales and thus unify corresponding continuous and discrete versions from the literature. We also apply our results to the quantum calculus case.
By exploring the values of the eigenvalue ル , this paper deals with the existence and nonexistence of positive solution for the following three-point boundary value problem with time scales: () () (, ...
In this paper, we generalize Ostrowski's inequality and Montgomery's identity on arbitrary time scales which were given in a recent paper [J. Inequal. Pure. Appl. Math. , 9 (1) (2008), Art. 6] by Boh...
In this paper we establish some Cebysev's inequalities on time scales under suitable conditions.

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