OSCILLATION OF THREE DIMENSIONAL NEUTRAL DELAYDIFFERENCE SYSTEMS
DOI:
https://doi.org/10.24297/jam.v12i10.83Keywords:
Oscillation, Three-dimensional neutral delay difference system.Abstract
This paper deals with the some oscillation criteria for the three dimensional neutral delay difference system of the form Δ xn+pnxn-k =bnynα Δ yn =cn znβ Δ(zn)=-anxn-l+1γ , n=1,2,…, Examples illustrating the results are inserted.Downloads
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References
1. R.P.Agarwal, Difference Equations and Inequalities, Second Edition.Marcel Dekkar. Newyork, 2000.
2. R.P.Agarwal and S.R.Grace, Oscillation of certain third order difference equations, Computers Math. Applic. 42(3-5), 379-384(2001).
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Oscillatory and asymptotic behaviour, Tamkang J.Math. 19,91-95,(1988).
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7. W.T.Li, Classification schemes for nonoscillatory solutions of two-dimensional non-linear difference systems, Computers Math. Applic. 42(3-5).341-355.(2001).
8. W.T.Li and S.S.Cheng, Oscillation criteria for a pair of coupled nonlinear difference equations, Internat. J. Appl. Math. 2(11).1327-1333, (2000).
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11. G.H.Hardy, J.E.Littlewood and G.Polya, Inequalities, 2nd Edition, Cambridge Univ.Press, Cambridge,(1988).
2. R.P.Agarwal and S.R.Grace, Oscillation of certain third order difference equations, Computers Math. Applic. 42(3-5), 379-384(2001).
3. J.R.Graef and E.Thandapani, Oscillatory and asymptotic behaviour of solutions of third order delay difference equations, Funk.Ekv.42(7/8). 355-369.(1999).
4. B.Smith and W.E.Taylor, Jr., Nonlinear third order difference equations:
Oscillatory and asymptotic behaviour, Tamkang J.Math. 19,91-95,(1988).
5. J.R.Graef and E.Thandapani, Oscillation of two-dimensional difference systems, Computers Math. Applic. 38 (7/8), 355-369, (1999).
6. B.S.Lalli, B.G. Zhang and J.Z.Li, Oscillation of Emden-Fowler difference systems, J.Math.Anal.Appl.256,(2001), 478-485.
7. W.T.Li, Classification schemes for nonoscillatory solutions of two-dimensional non-linear difference systems, Computers Math. Applic. 42(3-5).341-355.(2001).
8. W.T.Li and S.S.Cheng, Oscillation criteria for a pair of coupled nonlinear difference equations, Internat. J. Appl. Math. 2(11).1327-1333, (2000).
9. Z.Szafranski and B.Szamanda, Oscillatory properties of solutions of some difference systems, Rad. Mat. 6, 205-214,(1990).
10. E.Thandapani and B.Ponnammal, Oscillatory properties of solutions of three-dimensional difference systems, Mathematical and Computer Modelling 42(2005),641-650.
11. G.H.Hardy, J.E.Littlewood and G.Polya, Inequalities, 2nd Edition, Cambridge Univ.Press, Cambridge,(1988).
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Published
2016-11-30
How to Cite
THANGAVELU, K., & SARASWATHI, G. (2016). OSCILLATION OF THREE DIMENSIONAL NEUTRAL DELAYDIFFERENCE SYSTEMS. JOURNAL OF ADVANCES IN MATHEMATICS, 12(10), 6751–6757. https://doi.org/10.24297/jam.v12i10.83
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