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third order difference equation; oscillation; nonoscillation; disconjugacy; generalized zero

References:

[1] J. Henderson, A. Peterson: **Disconjugacy for a third order linear difference equation**. Comput. Math. Appl. 28 (1994), 131–139. MR 1284228

[2] J. W. Hooker, W. T. Patula: **Riccati type transformations for second order linear difference equations**. J. Math. Anal. Appl. 82 (1981), 451–462. MR 0629769

[3] W. G. Kelley, A. C. Peterson: **Difference Equations: An Introduction with Applications**. Academic Press, New York, 1991. MR 1142573

[4] N. Parhi, A. K. Tripathy: **On oscillatory third order difference equations**. J. Difference Eqns. Appl. 6 (2000), 53–74. MR 1752155

[5] N. Parhi, A. K. Tripathy: **On the behaviour of solutions of a class of third order difference equations**. J. Difference Eqns. Appl. 8 (2002), 415–426. MR 1897066

[6] A. K. Tripathy: **Study of Oscillatory and Asymptotic Behaviour of Solutions of Difference Equations**. Ph.D. thesis.