Oscillation of Systems of Neutral Equations with Variable Coefficients

✍ Scribed by D. A. Georgiou; C. Qian

• Publisher: John Wiley and Sons
• Year: 1992
• Tongue: English
• Weight: 369 KB
• Volume: 155
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19921550108

✦ Synopsis

Abstract

Consider the system of the neutral delay differential equations
(1) \documentclass{article}\pagestyle{empty}\begin{document}$ \frac{d}{{dt}}\left[{Y\left(t \right) - R\left(T \right)Y\left({T - \varrho } \right)} \right] + P\left(t \right)Y\left({t - \tau } \right) - Q\left(t \right)Y\left({t - \sigma } \right) = 0 $\end{document}
where P(t) = (p~ij~(t)), Q(t) = (q~ij~(t)) and R(t) = (r~ij~(t)) are n x n matrices for t ≧ 0 and the delays τ, σ and ϱ are nonnegative numbers. We obtain sufficient conditions for the oscillation of all solutions of (1) under the following hypotheses: magnified image