Browsing by Author "Alzabut J."
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Scopus Almost periodic dynamics of a discrete Nicholson's blowflies model involving a linear harvesting term Difference equations: New trends and applications in biology, medicine and biotechnology(2012-12-01) Alzabut J.; Bolat Y.; Abdeljawad T.We consider a discrete Nicholson's blowflies model involving a linear harvesting term. Under appropriate assumptions, sufficient conditions are established for the existence and exponential convergence of positive almost periodic solutions of this model. To expose the effectiveness of the main theorems, we support our result by a numerical example. MSC: 39A11. © 2012 Alzabut et al.; licensee Springer.Scopus On the oscillation of even-order half-linear functional difference equations with damping term(2014-01-01) Bolat Y.; Alzabut J.We investigate the oscillatory behavior of solutions of the m th order half-linear functional difference equations with damping term of the form Δ [pn Q (Δm-1 yn) ] + qn Q (Δm-1 yn) + rn Q (y τ n) = 0, n ≥ n 0, where m is even and Q (s) = s α - 2 s, α > 1 is a fixed real number. Our main results are obtained via employing the generalized Riccati transformation. We provide two examples to illustrate the effectiveness of the proposed results. © 2014 Yaşar Bolat and Jehad Alzabut.Scopus On the oscillation of higher-order half-linear delay difference equations(2012-09-01) Bolat Y.; Alzabut J.In this paper, sufficient conditions are established for the oscillatory and asymptotic behavior of higher-order half-linear delay difference equation of the form where it is assumed that ∑ s∞=n0 1/ps 1/α < ∞. The main theorem improves some existing results in the literature. An example is provided to demonstrate the effectiveness of the main result. © 2012 NSP Natural Sciences Publishing Cor.Scopus Oscillation Criteria for Nonlinear Higher-Order Forced Functional Difference Equations(2015-09-01) Alzabut J.; Bolat Y.Some oscillation criteria for solutions of nonlinear higher-order forced difference equations are established. The investigations are carried out without assuming that the coefficients of the equations are of a definite sign and by showing that the forcing term needs not be the mth difference of an oscillatory function. The proposed results are supported with some examples.