Špániková, Eva Oscillatory properties of solutions of three-dimensional differential systems of neutral type. (English) Zbl 1079.34550 Czech. Math. J. 50, No. 4, 879-887 (2000). Summary: The purpose of this paper is to obtain oscillation criteria for the differential system \[ \begin{aligned} [y_1(t)-a(t)y_1(g(t))]'&=p_1(t)f_1(y_2(h_2(t))), \\ y_2'(t)&=p_2(t)f_2(y_3(h_3(t))), \\ y_3'(t)&= -p_3(t)f_3(y_1(h_1(t))), \quad t\in \mathbb R_+=[0,\infty ). \end{aligned} \] Cited in 4 Documents MSC: 34K40 Neutral functional-differential equations Keywords:differential system of neutral type; oscillatory (nonoscillatory) solution PDF BibTeX XML Cite \textit{E. Špániková}, Czech. Math. J. 50, No. 4, 879--887 (2000; Zbl 1079.34550) Full Text: DOI EuDML OpenURL References: [1] I. Foltynska and J. Werbowski: On the oscillatory behaviour of solutions of system of differential equations with deviating arguments. Colloq. Math. Soc. János Bolyai 30 (1979), Qualitative theory of Diff. Eq. Szegéd, 243-256. · Zbl 0488.34065 [2] I. Györi and G. Ladas: Oscillation of systems of neutral differential equations. Differential Integral Equations 1 (1988), 281-286. · Zbl 0723.34057 [3] A. F. Ivanov and P. Marušiak: Oscillatory properties of systems of neutral differential equations. Hiroshima Math. J. 24 (1994), 423-434. · Zbl 0811.34054 [4] Y. Kitamura and T. Kusano: On the oscillation of a class of nonlinear differential systems with deviating argument. J. Math. Anal. Appl. 66 (1978), 20-36. · Zbl 0417.34107 [5] P. Marušiak: Oscillation criteria for nonlinear differential systems with general deviating arguments of mixed type. Hiroshima Math. J. 20 (1990), 197-208. · Zbl 0733.34072 [6] P. Marušiak: Oscillatory properties of functional differential systems of neutral type. Czechoslovak Math. J. 43 (118) (1993), 649-662. · Zbl 0801.34071 [7] B. Mihalíková: Some properties of differential systems with deviating arguments. Fasc. Math. 21 (1990), 5-26. · Zbl 0746.34042 [8] V. Šeda: On nonlinear differential systems with deviating arguments. Czechoslovak Math. J. 36 (111) (1986), 450-466. · Zbl 0622.34073 [9] V. N. Shevelo and V. N. Varech: On some properties of solutions of a system of functional differential equations. Kiev (1980), 153-171. [10] V. N. Shevelo, V. N. Varech and A. G. Gritsai: Oscillations of components of solutions of systems of functional differential equations of neutral type. Inst. Mat. Preprint, Acad. Nauk Ukr. SSR. (1984), 116-126. [11] E. Špániková: Asymptotic properties of solutions of nonlinear differential systems with deviating arguments. Čas. Pěst. Mat. (1990), no. 2, 178-191. · Zbl 0696.34056 [12] E. Špániková: Oscillatory properties of the solutions of three-dimensional nonlinear differential systems with deviating arguments. Acta Math. Univ. Comenian LIV-LV (1988), 173-183. · Zbl 0719.34124 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.