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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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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...
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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.