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

Abstract

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

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