@article{MASLO_1997_47_5_a5,
author = {Thandapani, Ethiraju and Sundaram, P. and Graef, John R. and Spikes, Paul W.},
title = {Asymptotic behaviour and oscillation of solutions of neutral delay difference equations of arbitrary order},
journal = {Mathematica slovaca},
pages = {539--551},
year = {1997},
volume = {47},
number = {5},
mrnumber = {1635228},
zbl = {0941.39006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_1997_47_5_a5/}
}
TY - JOUR AU - Thandapani, Ethiraju AU - Sundaram, P. AU - Graef, John R. AU - Spikes, Paul W. TI - Asymptotic behaviour and oscillation of solutions of neutral delay difference equations of arbitrary order JO - Mathematica slovaca PY - 1997 SP - 539 EP - 551 VL - 47 IS - 5 UR - http://geodesic.mathdoc.fr/item/MASLO_1997_47_5_a5/ LA - en ID - MASLO_1997_47_5_a5 ER -
%0 Journal Article %A Thandapani, Ethiraju %A Sundaram, P. %A Graef, John R. %A Spikes, Paul W. %T Asymptotic behaviour and oscillation of solutions of neutral delay difference equations of arbitrary order %J Mathematica slovaca %D 1997 %P 539-551 %V 47 %N 5 %U http://geodesic.mathdoc.fr/item/MASLO_1997_47_5_a5/ %G en %F MASLO_1997_47_5_a5
Thandapani, Ethiraju; Sundaram, P.; Graef, John R.; Spikes, Paul W. Asymptotic behaviour and oscillation of solutions of neutral delay difference equations of arbitrary order. Mathematica slovaca, Tome 47 (1997) no. 5, pp. 539-551. http://geodesic.mathdoc.fr/item/MASLO_1997_47_5_a5/
[1] AGARWAL R. P.: Difference Equations and Inequalities. Marcel Dekker, New York, 1992. | MR | Zbl
[2] BYKOV, YA. V.-ZHIVOGLYADOVA L. V.-SHEVTSOV E. I.: Sufficient conditions for solutions of nonlinear finite-difference equations to have the oscillatory property. Differentsiaľnye Uravneniya 9 (1973), 1523-1524. | MR
[3] BYKOV, YA. V., ZHIVOGLYADOVA L. V.: Oscillatory properties of solutions of nonlinear finite-difference equations. Differentsiaľnye Uravneniya 9 (1973), 2080-2081.
[4] BYKOV, YA. V.-SHEVTSOV E. I.: Sufficient conditions for the oscillation of solutions of nonlinear finite-difference equations. Differentsiaľnye Uravneniya 9 (1973), 2241-2244. | MR
[5] CHENG S. S.-YAN T. C.-LI H. J.: Oscillation criteria for second order difference equation. Funkcial. Ekvac. 34 (1991), 223-239. | MR | Zbl
[6] CHUANXI Q.-LADAS G.: Oscillatory behavior of difference equations with positive and negative coefficients. Matematiche (Catania) 44 (1989), 293-310. | MR
[7] ERBE L. H.-ZHANG B. G.: Oscillation of discrete analogues of delay equations. Differential Integral Equations 2 (1989), 300-309. | MR | Zbl
[8] ERBE L.-ZHANG B. G.: Oscillation of difference equations with delay. In: Diffeгential Equations and Applications Vol. I (A. R. Aftabizadeh, ed.), Ohio U. Press, Athens, 1989, pp. 257-263. | MR | Zbl
[9] GEORGIOU D. A.-GROVE E. A.-LADAS G.: Oscillations of neutral difference equations. Appl. Anal. 33 (1989), 243-253. | MR | Zbl
[10] GEORGIOU D. A.-GROVE E. A.-LADAS G.: Oscillation of neutral difference equations with variable coefficients. In: "Differential Equations, Stability and Control" (S. Elaydi, ed.), Lecture Notes in Pure and Appl. Math. 127, Dekker, New York, 1991, pp. 165-173. | MR
[11] HE X.-Z.: Oscillatory and asymptotic behaviour of second order nonlinear difference equations. J. Math. Anal. Appl. 175 (1993), 482-498. | MR | Zbl
[12] HOOKER J. W.-PATULA W. T.: A second-order nonlinear difference equation: oscillation and asymptotic behavior. J. Math. Anal. Appl. 91 (1983), 9-29. | MR | Zbl
[13] JAROŠ J.-STAVROULAKIS I. P.: Necessary and sufficient conditions for oscillations of difference equations with several delays. (To appear). | MR | Zbl
[14] LADAS G.: Explicit conditions for the oscillation of difference equations. J. Math. Anal. Appl. 153 (1990), 276-287. | MR | Zbl
[15] LADAS G.: Recent developments in the oscillation of delay difference equations. In: "Differential Equations, Stability and Control" (S. Elaydi, ed.), Lecture Notes in Pure and Appl. Math. 127, Dekker, New York, 1991, pp. 321-332. | MR
[16] LADAS G.-PHILOS, CH. G.-SFICAS Y. G.: Sharp conditions for the oscillation of delay difference equations. J. Appl. Math. Simm. 2 (1989), 101-111. | MR | Zbl
[17] LAKSHMIKANTHAM V.-TRIGIANTE D.: Theory of Difference Equations: Numerical Methods and Applications. Math. Sci. Engrg. 181, Academic Press, New York, 1988. | MR | Zbl
[18] LALLI B. S.-ZHANG B. G.: On existence of positive solutions and bounded oscillations for neutral difference equations. J. Math. Anal. Appl. 166 (1992), 272-287. | MR | Zbl
[19] LALLI B. S.-ZHANG B. G.: Oscillation and comparison theorems for certain neutral difference equations. J. Austral. Math. Soc. (To appear). | MR | Zbl
[20] LALLI B. S.-ZHANG B. G.-LI J. Z.: On the oscillation of solutions and existence of positive solutions of neutral difference equations. J. Math. Anal. Appl. 158 (1991), 213-233. | MR | Zbl
[21] PATULA W. T.: Growth and oscillation properties of second order linear difference equations. SIAM J. Math. Anal. 10 (1979), 55-61. | MR | Zbl
[22] PATULA W. T.: Growth, oscillation and comparison theorems for second order linear difference equations. SIAM J. Math. Anal. 10 (1979), 1272-1279. | MR | Zbl
[23] SZMANDA B.: Oscillation theorems for nonlinear second-order difference equations. J. Math. Anal. Appl. 79 (1981), 90-95. | MR | Zbl
[24] THANDAPANI E.: Asymptotic and oscillatory behavior of solutions of a second order nonlinear neutral delay difference equation. Riv. Math. Univ. Parma (5) 1 (1992), 105-113. | MR
[25] THANDAPANI E.-SUNDARAM P.: On the asymptotic and oscillatory behavior of solutions of second order nonlinear neutral difference equations. (To appear). | MR | Zbl
[26] THANDAPANI E.-SUNDARAM P.: Asymptotic and oscillatory behavior of solutions of first order nonlinear neutral difference equations. (To appear). | MR | Zbl
[27] 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 (1995), 125-136. | MR | Zbl
[28] THANDAPANI E.-SUNDARAM P., GYORI I.: Oscillations of second order non-linear neutral delay difference equations. (To appear).
[29] WANG Z., YU J.: Oscillation criteria for second order nonlinear difference equations. Funkcial. Ekvac. 34 (1991), 313-319. | MR | Zbl
[30] ZAFER A., DAHIYA R. S.: Oscillations of a neutral difference equation. Appl. Math. Lett. 6 (1993), 71-74. | MR