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

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

2009-06-17

arxiv.org/abs/0906.3246v1

Mathematics

Dynamical Systems

17 pages; 2 figures; to appear in Computers & Mathematics with Applications

Scientific paper

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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