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higher order difference equation; oscillation

References:

[1] R.P. Agarwal: **Difference Equations and Inequalities**. Marcel Dekker, New York, 1992. MR 1155840 | Zbl 0925.39001

[2] R.P. Agarwal: **Properties of solutions of higher order nonlinear difference equations I**. An. Univ. AI.I. Cuza. Iasi. 31 (1985), 165–172. MR 0858057 | Zbl 0599.39001

[3] R.P. Agarwal: **Properties of solutions of higher order nonlinear difference equations II**. An. Univ. AI.I. Cuza. Iasi 29 (1983), 85–96. MR 0739573 | Zbl 0599.39002

[4] S.R. Grace and B.S. Lalli: **Oscillation theorems for $n$-th order delay differential equations**. J. Math. Anal. Appl. 91 (1983), 342–366. MR 0690876

[5] S.R. Grace and B.S. Lalli: **Oscillation theorems for damped differential equations of even order with deviating arguments**. SIAM. J. Math. Anal. 15 (1984), 308–316. DOI 10.1137/0515024 | MR 0731869

[6] J.W. Hooker and W.T. Patula: **A second order nonlinear difference equation: Oscillation and asymptotic behavior**. J. Math. Anal. Appl. 91 (1983), 9–29. DOI 10.1016/0022-247X(83)90088-4 | MR 0688528

[7] M.R.S. Kulenovic and M. Budincevic: **Asymptotic analysis of nonlinear second order difference equations**. Anal. Sti. Univ. Iasi. 30 (1984), 39–52. MR 0800139

[8] V. Lakshmikantham and D. Trigiante: **Theory of Difference Equations: Numerical Methods and Applications**. Academic Press, New York, 1988. MR 0939611

[9] J. Popenda: **Oscillation and nonoscillation theorems for second order difference equations**. J. Math. Anal. Appl. 123 (1987), 34–38. DOI 10.1016/0022-247X(87)90291-5 | MR 0881528 | Zbl 0612.39002

[10] E. Thandapani: **Asymptotic and oscillatory behavior of solutions of nonlinear second order difference equations**. Indian. J. Pure. Appl. Math. 24 (1993), 365–372. MR 1229844 | Zbl 0784.39003

[11] E. Thandapani: **Oscillation theorems for second order damped nonlinear difference equations**. Czechoslovak Math. J. 45(120) (1995), 327–335. MR 1331469 | Zbl 0838.39003

[12] E. Thandapani, P. Sundaram and B.S. Lalli: **Oscillation theorems for higher order nonlinear delay difference equations**. Computers Math. Applic. 32 (1996), 111–117. DOI 10.1016/0898-1221(96)00116-2 | MR 1398552

[13] E. Thandapani, P. Sundaram, J.R. Graef, A. Miciano and P.W. Spikes: **Classification of nonoscillatory solutions of higher order neutral type difference equations**. Arch. Math. (Brno) 31 (1995), 263–277. MR 1390585

[14] E. Thandapani and P. Sundaram: **Oscillation theorems for some even order nonlinear difference equations**. J. Nonlinear Diff. Eqn. 4 (1996) (to appear).

[15] P.J.Y. Wong and R.P. Agarwal: **Oscillation theorems and existence of positive monotone solutions for second order non linear difference equations**. Math. Comp. Modelling 21 (1995), 63–84. DOI 10.1016/0895-7177(94)00215-A | MR 1316120

[16] P.J.Y. Wong and R.P. Agarwal: **The oscillation of an $m$-th order perturbed nonlinear difference equation**. Arch. Math. (Brno) 32 (1996), 13–27. MR 1399838

[17] A. Zafer: **On the existence of positive solutions and the oscillation of solutions of higher order difference equations with forcing terms**. Preprint. MR 1666123

[18] A. Zafer: **Oscillatory and asymptotic behavior of higher order difference equations**. Math. Comput. Modelling 21 (1995), 43–50. DOI 10.1016/0895-7177(95)00005-M | MR 1317929 | Zbl 0820.39001