具有正负系数的混合型超前-时滞微分方程的非振动性
On Nonoscillation of Mixed Advanced-Delay Differential Equations with Positive and Negative Coefficients
摘要:
对于一类具有变时滞和变系数的混合(超前-时滞)微分方程$$ \dot{x}(t) \pm a(t)x(g(t)) \mp b(t)x(h(t)) = 0, t\geq t_0 $$,得到了$$ a(t)\geq 0, b(t)\geq 0, g(t)\leq t, h(t)\geq t $$显式非振动条件.
英文摘要:
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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