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Nonoscillatory Solutions for System of Delay Difference Equations on Time Scales

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Author(s): Lanchu LIU | Youwu GAO

Journal: Studies in Mathematical Sciences
ISSN 1923-8444

Volume: 5;
Issue: 2;
Start page: 66;
Date: 2012;
Original page

Keywords: Nonoscillation | System | Difference equations | Time scales

ABSTRACT
In this paper, we consider certain system of delay difference equations$$ Delta{y_{1}(n)} = p(n)y_{2}(n)~~~~~~~ $$$$ Delta{y_{2}(n)} = -f(n,y_{1}(g(n)))$$where $p(n)in C[N_{0},R^{+}]$,~$yf(n,y)geq{0}$,~$fin{C[N_{0}imes{R},R]}$,~$ysuplimits_{ngeq{n_{0}}}mid f(n,y)mid>0$ for any $yeq0$,~$g(n)in C[N_{0},R]$,~$g(n)leq n$.
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