Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Oscillation criteria for even order neutral differential equations
Date
1998-05-01
Author
Zafer, Ağacık
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
202
views
0
downloads
Cite This
Oscillation criteria are given for even order neutral type differential equations of the following form
Subject Keywords
Neutral Differential Equation
,
Nonlinear
,
Higher Order
,
Oscillation
,
Eventually Positive Solution
URI
https://hdl.handle.net/11511/56376
Journal
APPLIED MATHEMATICS LETTERS
DOI
https://doi.org/10.1016/s0893-9659(98)00028-7
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
Oscillation of higher order nonlinear dynamic equations on time scales
Grace, Said R; Agarwal, Ravi P; Zafer, Ağacık (Springer Science and Business Media LLC, 2012-5-23)
Some new criteria for the oscillation of nth order nonlinear dynamic equations of the form x(Delta n) (t) + q (t) (x(sigma) (xi (t)))(lambda) = 0 are established in delay xi(t) a parts per thousand currency sign t and non-delay xi(t) = t cases, where n a parts per thousand yen 2 is a positive integer, lambda is the ratio of positive odd integers. Many of the results are new for the corresponding higher order difference equations and differential equations are as special cases.
Oscillation of fourth-order nonlinear neutral delay dynamic equations
Grace, S. R.; Zafer, Ağacık (2015-04-01)
In this work we establish some new sufficient conditions for oscillation of fourth-order nonlinear neutral delay dynamic equations of the form (a(t)([x(t) - p(t) x(h(t))](Delta Delta Delta))(alpha))(Delta) + q(t)x(beta)(g(t)) = 0, t is an element of [t(0),infinity) T, where alpha and beta are quotients of positive odd integers with beta <= alpha.
Oscillation of second-order nonlinear differential equations with nonlinear damping
Tiryaki, A; Zafer, Ağacık (2004-01-01)
This paper is concerned with the oscillation of a class of general type second-order differential equations with nonlinear damping terms. Several new oscillation criteria are established for such a class of differential equations under quite general assumptions. Examples are also given to illustrate the results.
Bounded oscillation of nonlinear neutral differential equations of arbitrary order
Yilmaz, YS; Zafer, Ağacık (2001-01-01)
The paper is concerned with oscillation properties of n-th order neutral differential equations of the form
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
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
A. Zafer, “Oscillation criteria for even order neutral differential equations,”
APPLIED MATHEMATICS LETTERS
, pp. 21–25, 1998, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56376.