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Oscillation of difference systems of the neutral type. (English) Zbl 1130.39010
A class of two-dimensional nonlinear difference equations with time-varying coefficients is considered. Sufficient conditions are given for all solutions to be oscillatory.

39A11Stability of difference equations (MSC2000)
39A12Discrete version of topics in analysis
Full Text: DOI
[1] Agarwal, R. P.: Difference equations and inequalities. (2000) · Zbl 0952.39001
[2] Elizabeth, S.; Graef, J. R.; Sundaram, P.; Thandapani, E.: Classifying nonoscillatory solutions and oscillations of a neutral difference equation. J. difference equ. Appl. 11, 605-618 (2005) · Zbl 1082.39001
[3] Sternal, A.; Szafranski, Z.; Szmanda, B.: Oscillatory and asymptotic behavior of some difference equations. Publ. inst. Math. 63, 66-74 (1998) · Zbl 0994.39009
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[6] Thandapani, E.; Sundaram, P.; Graef, J. R.; Spikes, P. W.: Asymptotic properties of solutions of nonlinear second order neutral delay difference equations. Dynam. systems appl. 4, 125-136 (1995) · Zbl 0820.39005
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[9] Zhang, B. G.; Saker, S. H.: Kamenev-type oscillation criteria for non-linear neutal delay difference equations. Indian J. Pure appl. Math. 34, 1571-1584 (2003) · Zbl 1061.39009
[10] Zhang, G.: Oscillation for nonlinear neutral difference equations. Applied math. E-notes 2, 22-24 (2002) · Zbl 0997.39004
[11] Zhang, Z.; Chen, J.; Zhang, C.: Oscillation of solutions of second order nonlinear difference equations with nonlinear neutral term. Comput. math. Appl. 41, 1487-1494 (2001) · Zbl 0983.39003
[12] Graef, J. R.; Thandapani, E.: Oscillation of two dimensional difference systems. Comput. math. Appl. 38, 157-165 (1999) · Zbl 0964.39012
[13] Hou, H. F.; Li, W. T.: Oscillation of the Emden--Fowler difference systems. J. math. Anal. appl. 256, 478-485 (2001) · Zbl 0976.39003
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[15] Szafranshi, Z.; Szmanda, B.: Oscillatory properties of solution of some difference systems. Rad. mat. 6, 205-214 (1990) · Zbl 0762.39007