Oscillation of higher order neutral type difference equations

Date

1995-08-11

Author

Zafer, Ağacık

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In this work we are concerned with oscillation of solutions of the neutral difference equation of the form

Subject Keywords

Mathematics, Applied

URI

https://hdl.handle.net/11511/55227

Conference Name

2nd International Conference on Difference Equations

Collections

Department of Mathematics, Conference / Seminar

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Oscillation criteria for third-order nonlinear functional differential equations AKTAŞ, MUSTAFA FAHRİ; Tiryaki, A.; Zafer, Ağacık (Elsevier BV, 2010-07-01) In this work, we are concerned with oscillation of third-order nonlinear functional differential equations of the form
Asymptotic behavior of solutions of differential equations with piecewise constant arguments Akhmet, Marat (Elsevier BV, 2008-09-01) The main goal of the work is to obtain sufficient conditions for the asymptotic equivalence of a linear system of ordinary differential equations and a quasilinear system of differential equations with piecewise constant argument.
Global existence and boundedness for a class of second-order nonlinear differential equations Tiryaki, Aydin; Zafer, Ağacık (Elsevier BV, 2013-09-01) In this paper we obtain new conditions for the global existence and boundedness of solutions for nonlinear second-order equations of the form
Nonlinear oscillation of second-order dynamic equations on time scales Anderson, Douglas R.; Zafer, Ağacık (Elsevier BV, 2009-10-01) Interval oscillation criteria are established for a second-order nonlinear dynamic equation on time scales by utilizing a generalized Riccati technique and the Young inequality. The theory can be applied to second-order dynamic equations regardless of the choice of delta or nabla derivatives.
Oscillation of Higher-Order Neutral-Type Periodic Differential Equations with Distributed Arguments Dahiya, R. S.; Zafer, A. (Springer Science and Business Media LLC, 2007) We derive oscillation criteria for general-type neutral differential equations [x(t) +αx(t− τ) +βx(t +τ)](n) = δ b ax(t − s)dsq1(t,s) + δ d c x(t + s)dsq2(t,s) = 0, t ≥ t0, where t0 ≥ 0, δ = ±1, τ > 0, b>a ≥ 0, d>c ≥ 0, α and β are real numbers, the functions q1(t,s) : [t0,∞) × [a,b] → R and q2(t,s):[t0,∞) × [c,d] → R are nondecreasing in s for each fixed t, and τ is periodic and continuous with respect to t for each fixed s. In certain special cases, the results obtained generalize and improve s...

Citation Formats

A. Zafer, “Oscillation of higher order neutral type difference equations,” presented at the 2nd International Conference on Difference Equations, VESZPREM, HUNGARY, 1995, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55227.