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Zbl 1123.34052
Markova, N.T.; Simeonov, P.S.
Oscillation criteria for first-order nonlinear differential equations with advanced arguments.
(English)
[J] Commun. Appl. Anal. 10, No. 2-3, 209-221 (2006). ISSN 1083-2564

Summary: Some new oscillation criteria are obtained for the first order nonlinear differential equation $$x'(t)=\sum^n_{i=1}p_i(t)f_i(x(\sigma_0 (t)),\dots,x (\sigma_m(t))),\quad t\ge\alpha$$ with advanced arguments, where $n\ge 1$, $m\ge 1$ are integers, $p_i(t)\ge 0$, $\sigma_j(t)\ge t$ and $x_0f_i(x_0,\dots,x_m)>0$ for $t\ge\alpha$, $x_0x_j>0$, $i=1, \dots,n$, $j=0,\dots,m$.
MSC 2000:
*34K11 Oscillation theory of functional-differential equations

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