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arxiv: 0906.3246 · v1 · pith:EL227YYAnew · submitted 2009-06-17 · 🧮 math.DS

On Nonoscillation of Mixed Advanced-Delay Differential Equations with Positive and Negative Coefficients

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keywords coefficientsdifferentialmixednonoscillationadvanced--delayadvanced-delayconditionsdelays
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For a mixed (advanced--delay) differential equation with variable delays and coefficients $$ \dot{x}(t) \pm a(t)x(g(t)) \mp b(t)x(h(t)) = 0, t\geq t_0 $$ where $$ a(t)\geq 0, b(t)\geq 0, g(t)\leq t, h(t)\geq t $$ explicit nonoscillation conditions are obtained.

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