Oscillation for System of Delay Difference Equations
Copyright policy )Oscillation for System of Delay Difference Equations
Consider the system of difference equations \[ x_i(t)-x_i(t-\sigma) +\sum^l_{k=1} \sum^n_{j=1}p_{ijk} x_j(t-\tau_k)=0,\;i=1,2,\dots, n,\tag{*} \] where \(p_{ijk}\in\mathbb{R}\), \(\sigma\) and \(\tau_k\in (0,\infty)\), \(i,j=1,2, \dots, n\), \(k=1,2,\dots,l\). The aim of this paper is to study the oscillatory behavior of solutions of (*) by two comparison theorems, using, with that end in view, a scalar difference equation.
- Shanxi University China (People's Republic of)
- Yuncheng University China (People's Republic of)
Applied Mathematics, Discrete version of topics in analysis, comparison theorems, oscillation, delay difference system, system of delay difference equations, difference inequality, Additive difference equations, oscillatory behavior, Analysis
Applied Mathematics, Discrete version of topics in analysis, comparison theorems, oscillation, delay difference system, system of delay difference equations, difference inequality, Additive difference equations, oscillatory behavior, Analysis
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