Document Zbl 0960.39005

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Zhang, Guang; Cheng, Sui Sun

A necessary and sufficient oscillation condition for the discrete Euler equation. (English) Zbl 0960.39005

Panam. Math. J. 9, No. 4, 29-34 (1999).

Summary: We show that \(\gamma> 1/4\) is the necessary and sufficient condition for every solution of the discrete Euler equation \(\Delta^2 x_{n-1}+\gamma n^{-2} x_n= 0\) to be oscillatory.

Cited in 15 Documents

MSC:

39A11

Stability of difference equations (MSC2000)

Keywords:

discrete Euler equation; delay equation; oscillatory solution

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