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Oscillatory properties of solutions of three-dimensional differential systems of neutral type
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 879-887 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The purpose of this paper is to obtain oscillation criteria for the differential system \[ \begin{aligned}{[y_1(t)-a(t)y_1(g(t))]}^{\prime}=p_1(t)f_1(y_2(h_2(t))) \\ y_2^{\prime }(t)=p_2(t)f_2(y_3(h_3(t))) \\ y_3^{\prime }(t)= - p_3(t)f_3(y_1(h_1(t))), \quad t\in \mathbb R_+=[0,\infty ).\end{aligned} \]
The purpose of this paper is to obtain oscillation criteria for the differential system \[ \begin{aligned}{[y_1(t)-a(t)y_1(g(t))]}^{\prime}=p_1(t)f_1(y_2(h_2(t))) \\ y_2^{\prime }(t)=p_2(t)f_2(y_3(h_3(t))) \\ y_3^{\prime }(t)= - p_3(t)f_3(y_1(h_1(t))), \quad t\in \mathbb R_+=[0,\infty ).\end{aligned} \]
Classification : 34K11, 34K15, 34K40
Keywords: differential system of neutral type; oscillatory (nonoscillatory) solution 
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Špániková, Eva. Oscillatory properties of solutions of three-dimensional differential systems of neutral type. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 879-887. http://geodesic.mathdoc.fr/item/CMJ_2000_50_4_a14/

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