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Oscillation and non-oscillation for second-order linear difference equations. (English) Zbl 1103.39300
Oscillation and non-oscillation theorems are proved for the second-order linear difference equation $$\Delta^2x_{n-1} + p_{n}x_{n} = 0$$ when $(p_{n})$ is a real nonnegative sequence. The main results are discrete analogues of some theorems of Wong for second order ordinary differential equations and generalize earlier results of Zhang and Zhou.

39A11Stability of difference equations (MSC2000)
34C10Qualitative theory of oscillations of ODE: zeros, disconjugacy and comparison theory
Full Text: DOI
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[13] Huang, C.: Oscillation and nonoscillation for second order linear differential equations. J. math. Anal. appl. 210, 712-723 (1997) · Zbl 0880.34034
[14] Wong, J. S. W.: Remarks on a paper of C. Huang. J. math. Anal. appl. 291, 180-188 (2004) · Zbl 1046.34061