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Zbl 0810.34068
On the oscillation of solutions of first-order delay differential inequalities and equations.
(English)
[J] Georgian Math. J. 1, No.6, 675-685 (1994). ISSN 1072-947X; ISSN 1572-9176/e

The authors consider the equation (1) $u'(t)+ p(t) u(\tau(t))= 0$, where $p: \bbfR\sb +\to \bbfR\sb +$ is locally integrable, $\tau: \bbfR\sb +\to \bbfR$ is continuous and $\tau(t)\le t$, $t\in \bbfR\sb +$, $\lim\sb{t\to\infty}\tau(t)= \infty$. There are proved new criteria for the oscillation of solutions of (1), which generalize many earlier results.
[P.Marušiak (Žilina)]
MSC 2000:
*34K99 Functional-differential equations
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: linear delay differential equation; oscillatory solution; oscillation

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