In this paper, we establish a Lyapunov-type inequality for a fractional q-difference equation subject to Dirichlet-type boundary conditions. The obtained inequality generalizes several existing results from the literature including the standard Lyapunov inequality. We use that result to provide an interval, where a certain Mittag-Leffler function has no real zeros. We present also another appli...

This survey is accomplished by the purpose of effective social and cultural factors on educational progress of high-school students in Shoush city.Out of 3200 persons about 280 persons were selected as sample volume according to Cochran formula. Sampling method was simple random.The most appropriate theory for this research is Parsons systematical theory .In this survey ,the relation of 8 varia...

BACKGROUND Health care workers are exposed to psychosocial work factors. Autonomy and social support are psychosocial work factors that are related to stress, and are argued to largely result from the psychosocial safety climate within organisations. This study aimed to assess to what extent the relation between psychosocial safety climate and stress in health care workers can be explained by a...

The Müntz-Legendre polynomials arise by orthogonalizing the Müntz system {xxo, xx¡, ...} with respect to Lebesgue measure on [0, 1]. In this paper, differential and integral recurrence formulae for the Müntz-Legendre polynomials are obtained. Interlacing and lexicographical properties of their zeros are studied, and the smallest and largest zeros are universally estimated via the zeros of Lague...

where {pi(n)} are sequences of nonnegative real numbers and not identically equal to zero, and ki is positive integer, i = 1,2, . . . , and is the first-order forward difference operator, xn = xn+1− xn, and xn = l−1( xn) for l ≥ 2. By a solution of (1.1) or inequality (1.2), we mean a nontrival real sequence {xn} satisfying (1.1) or inequality (1.2) for n ≥ 0. A solution {xn} is said to be osci...

The drill pipe model described by the wave equation with boundary conditions is reduced through the d’Alembert transformation to a difference equation model. Assuming that the boundary condition at the bottom is perturbed by bounded additive noise, an ultimate bound for the velocity at the bottom of the pipe is obtained. The proposal of a Lyapunov functional for the distributed model allows to ...

Although internal dialogue and inner speech form essential part of communication, it has not been given much attention in studies of interaction and language. This article suggests that the basic unit of dialogical epistemology, the triad Ego-AlterObject/representation could be conceptually relevant to dialogical subjectivity. It proposes that internal dialogue involves different kinds of symbo...

In this paper we identify modal logics of some bimodal Kripke frames corresponding to geometrical structures. Each of these frames is a set of ‘geometrical’ objects with some natural accessibility relation plus the universal relation. For these logics we present finite axiom systems and prove completeness. We also show that all these logics have the finite model property and are PSPACE-complete...

Fix α ∈ [0, 1). Consider the random walk on the circle S1 which proceeds by repeatedly rotating points forward or backward, with probability 1 2 , by an angle 2πα. This paper analyzes the rate of convergence of this walk to the uniform distribution under “discrepancy” distance. The rate depends on the continued fraction properties of the number ξ = 2α. We obtain bounds for rates when ξ is any i...