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Oscillation for difference equations with continuous variable. (English) Zbl 0932.39008
Summary: Consider the delay difference equation $$y(t)-y(t-\tau)+p(t)H\bigl(y(t-\sigma)\bigr)=f(t),\quad t\ge 0,$$ where $\tau>0$, $\sigma>0$, and $p\in C(\bbfR_+,\bbfR_+)$, $f\in C(\bbfR_+,\bbfR)$, $H\in C(\bbfR,\bbfR)$. Some oscillation criteria for this equation are obtained.

39A11Stability of difference equations (MSC2000)
Full Text: DOI
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