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Zbl 1013.34067
Li, Xianyi; Zhu, Deming
Oscillation and nonoscillation of advanced differential equations with variable coefficients.
(English)
[J] J. Math. Anal. Appl. 269, No.2, 462-488 (2002). ISSN 0022-247X

The authors study the scalar advanced delay differential equations $x'(t)-p(t)x(t+\tau)=0$ and $x'(t)-\sum_{i=1}^n p_i(t) x(t+\tau_i)=0$ with positive constants $\tau,\tau_i$ and nonnegative continuous functions $p, p_i$. Sharp sufficient conditions are shown for the oscillation and nonoscillation of the solutions. The results improve and extend the corresponding ones of {\it G. Ladas} and {\it I. P. Stavroulakis} [J. Differ. Equations 44, 134-152 (1982)].
[Tibor Krisztin (Szeged)]
MSC 2000:
*34K11 Oscillation theory of functional-differential equations

Keywords: oscillation; nonoscillation; advanced differential equation; variable coefficient

Citations: Zbl 0452.34058

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