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Zbl 1103.39300
Sun, Yuan Gong
Oscillation and non-oscillation for second-order linear difference equations.
(English)
[J] Appl. Math. Comput. 170, No. 2, 1095-1103 (2005). ISSN 0096-3003

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.
[Jean Mawhin (Louvain-La-Neuve)]
MSC 2000:
*39A11 Stability of difference equations
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: oscillation; non-oscillation; difference equation

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