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Zbl 1197.34118
Berezansky, Leonid; Braverman, Elena; Pinelas, Sandra
On nonoscillation of mixed advanced-delay differential equations with positive and negative coefficients. (English)
[J] Comput. Math. Appl. 58, No. 4, 766-775 (2009). ISSN 0898-1221

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

MSC 2000:: *34K11 Oscillation theory of functional-differential equations

Keywords: mixed differential equations; delay equations; advanced equations; positive solutions

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