ON THE OSCILLATION OF CERTAIN THIRD-ORDER DIFFERENCE EQUATIONS RAVI P AGARWAL, SAID R GRACE, AND potx
ON THE OSCILLATION OF CERTAIN THIRD-ORDER DIFFERENCE EQUATIONS RAVI P. AGARWAL, SAID R. GRACE, AND potx
... OSCILLATION OF CERTAIN THIRD-ORDER
DIFFERENCE EQUATIONS
RAVI P. AGARWAL, SAID R. GRACE, AND DONAL O’REGAN
Received 28 August 2004
We establish some new criteria for the oscillation of third-order difference ... R. Grace, and D. O’Regan, Discrete Oscillation Theory, Hindawi
Publishing, New York, in press.
[3] R. P. Agarwal and S. R. Grace, Oscillat...
Báo cáo hóa học: "Research Article Asymptotic Representation of the Solutions of Linear Volterra Difference Equations" pdf
... distribution, and
reproduction in any medium, provided the original work is properly cited.
1. Introduction
The literature on the asymptotic theory of the solutions of Volterra difference equations ... in R
d×d
and R
d
,
respectively.
Under appropriate assumptions, it is proved that the solution converges to a finite limit
which obeys a limit formula. Our paper develop...
Báo cáo toán học: " On the boundedness of the solutions in nonlinear discrete Volterra difference equations" pot
... in the study of the asymptotic behavior of the
solutions of both convolution and non-convolution-type linear and nonlinear Volterra difference equations
(see [1–17] and references therein). Appleby ... consequence from proof of Theorem 4.3 with Remark 5.1.
Remark 5.6. The Corollary 5.5 is analogous to the corresponding result of Lipovan (Theorem 3.1, [18])
for integ...
Báo cáo hóa học: " On the behavior of solutions of the system of rational difference equations" pptx
... The proof is clear from Theorem 1. □
Competing interests
The author declares that they have no competing interests.
Received: 2 March 2011 Accepted: 6 October 2011 Published: 6 October 2011
References
1. ... equations of higher order with periodic solutions. Dyn
Contin Discrete Impuls Syst Ser A Math Anal. 13, 499–507 (2006)
12. Agarwal, RP, Li, WT, Pang, PYH: Asymptotic behavior o...
Báo cáo hóa học: " Research Article On the Solutions of Systems of Difference Equations" ppt
... open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and
reproduction in any medium, provided the original work is properly ... difference equations are very simple in form, it is extremely difficult to understand
thoroughly the behaviors of their solutions. see 1–12 and the references cited therein.
Pap...
Báo cáo hóa học: "ON THE SYSTEM OF RATIONAL DIFFERENCE EQUATIONS xn+1 = f (xn , yn−k ), yn+1 = f (yn ,xn−k )" potx
... Commons Attribution License, which permits unrestricted use, distribution,
and reproduction in any medium, provided the original work is properly cite d.
1. Introduction
Recently there has been published ... quite a lot of works concerning the behavior of posi-
tive solutions of systems of rational difference equations [2–7]. These results are not only
valuable in their own rig...
Báo cáo hóa học: "ON THE SYSTEM OF RATIONAL DIFFERENCE EQUATIONS xn+1 = f (yn−q ,xn−s ), yn+1 = g(xn−t , yn− p )" ppt
... the
Creative Commons Attribution License, which permits unrestricted use, distribution,
and reproduction in any medium, provided the original work is properly cited.
1. Introduction
In this paper, ... this paper, we study the convergence of positive solutions of a system of rational dif-
ference equations. Recently there has been published quite a lot of works concerning the...
ON THE SOLVABILITY OF INITIAL-VALUE PROBLEMS FOR NONLINEAR IMPLICIT DIFFERENCE EQUATIONS PHAM KY ANH pdf
... and the solvability of IVPs for nonlinear IDEs. The result of this paper can
be considered as a discrete version of the corresponding result of [4].
2. Index 1 linear implicit differenc e equations
Let ... discussed in our forthcoming paper.
200 IVPs for nonlinear implicit difference equations
Acknowledgment
The first author thanks Prof. Shao Xiumin and Prof. Liang Guopin...
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