Browse > Article
http://dx.doi.org/10.4134/BKMS.2003.40.3.489

OSCILLATION OF SECOND ORDER NONLINEAR DELAY DIFFERENCE EQUATIONS  

Saker, S.H. (Mathematics Department, Faculty of Science, Mansoura University)
Publication Information
Bulletin of the Korean Mathematical Society / v.40, no.3, 2003 , pp. 489-501 More about this Journal
Abstract
In this paper we shall consider the nonlinear delay difference equation $\Delta({p_n}{\Deltax_N})\;+\;q_nf(x_{n-\sigma})\;=\;0,\;n\;=\;0,\;1,\;2,\;...$ when (equation omitted). We will establish some sufficient conditions which guarantee that every solution is oscillatory or converges to zero.
Keywords
oscillation; nonlinear delay difference equations;
Citations & Related Records
연도 인용수 순위
  • Reference
1 On unbounded positive solutions of second order difference equations with a singular nonlinear term /
[ W.T.Li;X.L.Fan;C.K.Zhong ] / J. Math. Anal.Appl.   DOI   ScienceOn
2 Oscillation and nonoscillation theorems for certain second-order difference equations with forcing term /
[ S.R.Grace;H.A.El-Morshedy ] / J. Math. Anal. Appl.   DOI   ScienceOn
3 Oscillation theorems for second order nonlinear difference equations /
[ W.T.Li ] / Math. Comput. Modelling   DOI   ScienceOn
4 Oscillation criteria for second order nonlinear delay difference equations /
[ Z.R.Liu;W.D.Chen;Y.H.Yu ] / Kyungpook Math. J.   과학기술학회마을
5 A comparison theorems for asymptotically monotone solutions of nonlinear difference equations /
[ S.S.Cheng;H.J.Li ] / Bull. Inst. Math. Acad. Sinica
6 Oscillation criteria for second-order functional difference equations with summation small coefficients /
[ Z.Zhang;J.Zhang ] / Comput. Math. Appl.   DOI   ScienceOn
7 Oscillation criteria for second order difference equation /
[ S.S.Cheng;T.C.Yan;H.J.Li ] / Funkcial. Ekvac.
8 Kamenev-type oscillation criteria for forced Emden-Fowler superlinear difference equations /
[ S.H.Saker ] / Electron. J. Differential Equations 2002
9 Asymptotic behavior of positive solutions of second order quasilinear difference equations /
[ R.Arul;E.Thandapani ] / Kyungpook Math. J.   과학기술학회마을
10 Difference Equations and Inequalities /
[ R.P.Agarwal ] / Theory, methods and applications(second edition)
11 New oscilation criteria for second-order nonlinear neutral delay difference equations /
[] / Applied Math. Comput.   DOI   ScienceOn
12 Oscillatory and asymptotic behavior of second order nonlinear difference equations /
[ X.Z.He ] / J. Math. Anal. Appl.   DOI   ScienceOn
13 Ocillation second-order perturbed nonlinear difference equations /
[] / Appl. Math. Comput.
14 Oscillation and nonlinear difference equations /
[ S.C.Fu;L.Y.Tsai ] / Comput. Math. Appl.   DOI   ScienceOn
15 Oscillation cruteria for a nonlinear difference equations /
[ W.T.Li;S.S.Cheng ] / Comp. Math. Appl.
16 Oscillation of second-order half-linear difference equations /
[ E.Thandapani;K.Ravi ] / Appl. Math. Lett.
17 /
[ R.P.Agarwal;P.J.Y.Wong ] / Advanced topics in difference equations
18 Oscillation of second-order linear difference equations /
[ M.H.Abu-Risha ] / Appl. Math. Lett.
19 An oscillation theorem for a second order nonlinear difference equation /
[ H.J.Li;S.S.Cheng ] / Utilitas Mathematica
20 Oscillation theorems for linear differential equations of second order /
[ Ch.G.Philos ] / Arch. Math.   DOI
21 Characterization of oscillation of second order nonlinear difference equations /
[ B. Szmanda ] / Bull. Polish. Acad. Sci. Math.
22 Hartman-Wintner type lemma, oscillation and conjugacy criteria for half-linear difference equations /
[ P.Rehak ] / J. Math. Anal. Appl.   DOI   ScienceOn
23 Asymptotically monotone solutions of a nonlinear difference equation /
[] / Tamkang J. Math.
24 Oscillation and asymptotic behaivior of second order difference equations /
[ B.G.Zhang ] / J. Math. Anal. Appl.   DOI   ScienceOn
25 Bounded solutions of nonlinear difference equations /
[] / Tamkang J. Math.