MR2668512 José M. FERREIRA and Sandra PINELAS José M. FERREIRA and Sandra PINELAS Oscillatory Mixed Differential Systems Funkcialaj Ekvacioj. Serio Internacia 53 2010 1--20 http://fe.math.kobe-u.ac.jp/FE/FullPapers/53-1/53_1.pdf http://www.ams.org/mathscinet-getitem?mr=MR2668512 In this work are obtained some criteria which guarantee the oscillatory behavior of the differential system of mixed type $x'(t)=\int_{-1}^0d[\nu(\theta)]x(t-r(\theta))+\int_{-1}^0d[\eta(\theta)]x(t+\tau(\theta))$, where $x(t)\in\mathbb{R}^n$, $r(\theta)$ and $\tau(\theta)$ are real nonnegative continuous functions on $[-1,0]$, $\nu(\theta)$ and $\eta(\theta)$ are real $n$-by-$n$ matrix valued function of bounded variation on $[-1,0]$. Oscillatory, Differential system of mixed type. 34K06, 34K11. 53-1 2010 Oscillatory Mixed Differential Systems José M. FERREIRA and Sandra PINELAS José M. FERREIRA and Sandra PINELAS
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