Oscillation of difference equations
Copyright policy )Oscillation of difference equations
The authors obtain sufficient conditions for the oscillation of all solutions of the delay difference equation \[ y_{n+1} - y_ n + \sum^ k_{i=1} p_{in} y_{n-m_ i} = 0 \] where \(m_ i\), \(i = 1, \dots, k\) are positive integers and \(p_{in}\), \(i = 1, \dots, k\), \(n = 1, 2, \dots\) are real numbers, without assuming the positivity of \(\{p_{in}\}\). For related work, see \textit{L. H. Erbe} and \textit{B. G. Zhang} [Differ. Integral Equ. 2, No. 3, 300-309 (1989; Zbl 0723.39004)] and \textit{G. Ladas} [J. Math. Anal. Appl. 153, No. 1, 276-287 (1990; Zbl 0718.39002)].
- Qingdao University China (People's Republic of)
- University of Saskatchewan Canada
delay difference equation, Discrete version of topics in analysis, oscillation, Additive difference equations
delay difference equation, Discrete version of topics in analysis, oscillation, Additive difference equations
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