Oscillation of neutral differential equation with positive and negative coefficients. (English) Zbl 1118.34053
Summary: We provide oscillation properties of every solution of the neutral differential equation with positive and negative coefficients
\[
[x(t)-R(t) x(t-r)]'+P(t)x(t-\tau)-Q(t)x(t-\sigma)=0,
\]
where \(R(t)\), \(P(t)\), \(Q(t) \in C([t_0,\infty)\), \(\mathbb{R}^+)\), \(r>0\), \(\tau\geq 0,\sigma\geq 0\).
MSC:
| 34K11 | Oscillation theory of functional-differential equations |
| 34K40 | Neutral functional-differential equations |
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