Oscillation of Second Order Difference Equation with a Sub-linear Neutral Term
Journal Title: Journal of Mathematics and Applications - Year 2017, Vol 40, Issue
Abstract
This paper deals with the oscillation of a certain class of second order difference equations with a sub-linear neutral term. Using some inequalities and Riccati type transformation, four new oscillation criteria are obtained. Examples are included to illustrate the main results.
Authors and Affiliations
C. Dharuman, John R. Graef, E. Thandapani, K. S. Vidhyaa
On the Derivative of a Polynomial with Prescribed Zeros
For a polynomial [formula] of degree n having all its zeros in |z| ≤ K, K ≥ 1it is known that [formula]. By assuming a possible zero of order m, 0 ≤m ≤ n – 4, at z=0, of p(z) for n ≥ k + m + 1 with integer k ≥ 3 we have...
Some New Existence Results and Stability Concepts for Fractional Partial Random Differential Equations
In the present paper we provide some existence results and Ulam's type stability concepts for the Darboux problem of partial fractional random differential equations in Banach spaces, by applying the measure of noncompac...
On the Evolution of Academic Staff Structure in a University Setting
This paper models the academic staff structure in a university as a system of stocks and flows in a three-dimensional space, ℝ3. The stocks are the number of academic staff in a particular state at a given time and the f...
On a Cubic Integral Equation of Urysohn Type with Linear Perturbation of Second Kind
In this paper, we concern by a very general cubic integral equation and we prove that this equation has a solution in C[0,1]. We apply the measure of noncompactness introduced by Banaś and Olszowy and Darbo's fixed point...
About a Class of Analytic Functions Defined by Noor-Sǎlǎgean Integral Operator
In this paper we introduce a new integral operator as the convolution of the Noor and Sălăgean integral operators. With this integral operator we define the class C_{NS}(α), where α∈[0,1) and we study some properties of...