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Zbl 0814.34062
Yu, J.S.; Yan, Jurang
Oscillation in first order neutral differential equations with "integrally small" coefficients.
(English)
[J] J. Math. Anal. Appl. 187, No.2, 361-370 (1994). ISSN 0022-247X

The authors obtain some new sufficient conditions for the oscillation of the solutions of the equation (1) below without the restrictive hypothesis $\int\sp{+\infty}\sb 0 [P(s)- Q(s- \tau-\delta)] ds= +\infty$. $${d\over dt} [x(t)- R(t) x(t- r)]+ P(t) x(t- \tau)- Q(t) x(t-\delta)= 0,\tag1$$ where $P,Q,R\in C([t\sb 0; +\infty),\bbfR\sp +)$, $r> 0$ and $\tau,\delta\ge 0$.
[T.Havarneanu (Iaşi)]
MSC 2000:
*34K99 Functional-differential equations
34K40 Neutral equations
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

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