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

preprint2009arXivOpen access

Abstract

For a mixed (advanced--delay) differential equation with variable delays and coefficients x˙(t)±a(t)x(g(t))∓b(t)x(h(t))=0,t≥t0 \dot{x}(t) \pm a(t)x(g(t)) \mp b(t)x(h(t)) = 0, t\geq t_0 where a(t)≥0,b(t)≥0,g(t)≤t,h(t)≥t 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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