| Title:
|
Asymptotic behaviour and oscillation of solutions of neutral delay difference equations of arbitrary order (English) |
| Author:
|
Thandapani, Ethiraju |
| Author:
|
Sundaram, P. |
| Author:
|
Graef, John R. |
| Author:
|
Spikes, Paul W. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
47 |
| Issue:
|
5 |
| Year:
|
1997 |
| Pages:
|
539-551 |
| . |
| Category:
|
math |
| . |
| MSC:
|
39A11 |
| idZBL:
|
Zbl 0941.39006 |
| idMR:
|
MR1635228 |
| . |
| Date available:
|
2009-09-25T11:26:23Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130177 |
| . |
| Reference:
|
[1] AGARWAL R. P.: Difference Equations and Inequalities.Marcel Dekker, New York, 1992. Zbl 0925.39001, MR 1155840 |
| Reference:
|
[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 0330814 |
| Reference:
|
[3] BYKOV, YA. V., ZHIVOGLYADOVA L. V.: Oscillatory properties of solutions of nonlinear finite-difference equations.Differentsiaľnye Uravneniya 9 (1973), 2080-2081. |
| Reference:
|
[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 0330812 |
| Reference:
|
[5] CHENG S. S.-YAN T. C.-LI H. J.: Oscillation criteria for second order difference equation.Funkcial. Ekvac. 34 (1991), 223-239. Zbl 0773.39001, MR 1130461 |
| Reference:
|
[6] CHUANXI Q.-LADAS G.: Oscillatory behavior of difference equations with positive and negative coefficients.Matematiche (Catania) 44 (1989), 293-310. MR 1143466 |
| Reference:
|
[7] ERBE L. H.-ZHANG B. G.: Oscillation of discrete analogues of delay equations.Differential Integral Equations 2 (1989), 300-309. Zbl 0723.39004, MR 0983682 |
| Reference:
|
[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. Zbl 0722.39003, MR 1026145 |
| Reference:
|
[9] GEORGIOU D. A.-GROVE E. A.-LADAS G.: Oscillations of neutral difference equations.Appl. Anal. 33 (1989), 243-253. Zbl 0685.39003, MR 1030111 |
| Reference:
|
[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 1096752 |
| Reference:
|
[11] HE X.-Z.: Oscillatory and asymptotic behaviour of second order nonlinear difference equations.J. Math. Anal. Appl. 175 (1993), 482-498. Zbl 0780.39001, MR 1219191 |
| Reference:
|
[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. Zbl 0508.39005, MR 0688528 |
| Reference:
|
[13] JAROŠ J.-STAVROULAKIS I. P.: Necessary and sufficient conditions for oscillations of difference equations with several delays.(To appear). Zbl 0808.39004, MR 1284029 |
| Reference:
|
[14] LADAS G.: Explicit conditions for the oscillation of difference equations.J. Math. Anal. Appl. 153 (1990), 276-287. Zbl 0718.39002, MR 1080131 |
| Reference:
|
[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 1096768 |
| Reference:
|
[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. Zbl 0685.39004, MR 1010549 |
| Reference:
|
[17] LAKSHMIKANTHAM V.-TRIGIANTE D.: Theory of Difference Equations: Numerical Methods and Applications.Math. Sci. Engrg. 181, Academic Press, New York, 1988. Zbl 0683.39001, MR 0939611 |
| Reference:
|
[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. Zbl 0763.39002, MR 1159653 |
| Reference:
|
[19] LALLI B. S.-ZHANG B. G.: Oscillation and comparison theorems for certain neutral difference equations.J. Austral. Math. Soc. (To appear). Zbl 0759.39002, MR 1181576 |
| Reference:
|
[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. Zbl 0732.39002, MR 1113411 |
| Reference:
|
[21] PATULA W. T.: Growth and oscillation properties of second order linear difference equations.SIAM J. Math. Anal. 10 (1979), 55-61. Zbl 0397.39001, MR 0516749 |
| Reference:
|
[22] PATULA W. T.: Growth, oscillation and comparison theorems for second order linear difference equations.SIAM J. Math. Anal. 10 (1979), 1272-1279. Zbl 0433.39005, MR 0547812 |
| Reference:
|
[23] SZMANDA B.: Oscillation theorems for nonlinear second-order difference equations.J. Math. Anal. Appl. 79 (1981), 90-95. Zbl 0455.39004, MR 0603378 |
| Reference:
|
[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 1230602 |
| Reference:
|
[25] THANDAPANI E.-SUNDARAM P.: On the asymptotic and oscillatory behavior of solutions of second order nonlinear neutral difference equations.(To appear). Zbl 0862.39007, MR 1364735 |
| Reference:
|
[26] THANDAPANI E.-SUNDARAM P.: Asymptotic and oscillatory behavior of solutions of first order nonlinear neutral difference equations.(To appear). Zbl 0901.39004, MR 1600048 |
| Reference:
|
[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. Zbl 0820.39005, MR 1312484 |
| Reference:
|
[28] THANDAPANI E.-SUNDARAM P., GYORI I.: Oscillations of second order non-linear neutral delay difference equations.(To appear). |
| Reference:
|
[29] WANG Z., YU J.: Oscillation criteria for second order nonlinear difference equations.Funkcial. Ekvac. 34 (1991), 313-319. Zbl 0742.39003, MR 1130467 |
| Reference:
|
[30] ZAFER A., DAHIYA R. S.: Oscillations of a neutral difference equation.Appl. Math. Lett. 6 (1993), 71-74. MR 1347777 |
| . |
