Investigated some new results on the oscillatory behavior of second order nonlinear neutral delay difference equation of the form
for all nN(n0)
and n0 is a nonnegative integer. Where 0 ≤ pnp < 1, qn > 0 and α is a ration of odd positive integers.
1.
Agarwal
,
R.P.
,
Bohner
,
M.
,
Grace
,
S.R.
,
ORegan
,
D.
:
Discrete Oscillation Theory
,
Hindawi Publishing Corporation
.
New York
.
2005
.
2.
Agarwal
,
R.P.
:
Difference Equations and Inequalities, Theory, Methods and Applications
,
Second Edition, Revised and Expanded. New York
.
Marcel Dekker
2000
.
3.
Agarwal
,
R.P.
,
Wong
,
P.J.Y.
:
Advanced Topics in Difference Equations
,
Kluwer Academic Publishers
,
Drodrecht
.
1997
.
4.
R. P.
Agarwal
,
S. R.
Grace
,
D.
ORegan
,
Oscillation Theory for Difference and Functional Differential Equations
,
Kluwer Academic
,
Dordrecht
,
2000
.
5.
T.
Asaela
,
H.
YoshidaH
,
Stability, instability and complex behavior in macrodynamic models with policy lag
,
Discrete Dynamics in Nature and Society
,
5
, (
2001
),
281
295
.
6.
Andruch-Sobilo
,
A.
,
Migda
,
M.
:
On the oscillation of solutions of third order linear difference equations of neutral type
.
Math. Bohem.
130
,
19
33
(
2005
).
7.
Artzroumi
,
M.
:
Generalized stable population theory
.
J. Math. Biology.
21
,
363
381
(
1985
).
8.
B.
Baculkova
,
J.
Dzurina
,
Oscillation of third order neutral differential equations
,
Math. Comput. Modelling
,
52
, (
2010
),
215
226
.
9.
L.
Berenzansky
,
E.
Braverman
,
Some oscillation problems for a second order linear delay differential equations
,
J. Math. Anal. Appl.
220
, (
1998
),
719
740
.
10.
C.
Cesarano
and
O.
Bazighifan
,
Qualitative behavior of solutions of second order differential equations
,
Symmetry (MDPI)
,
11
(
777
) (
2019
)
8
pages.
11.
Dosla
,
Z.
,
Kobza
,
A.
:
Global asymptotic properties of third-order difference equations
.
Comput. Math. Appl.
48
,
191
200
(
2004
).
12.
Dosla
,
Z.
,
Kobza
,
A.
:
On third-order linear difference equations involving quasi-differences
.
Adv. Difference Equ.
1
13
(
2006
).
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