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Title: Oscillatory properties of solutions of three-dimensional differential systems of neutral type (English)
Author: Špániková, Eva
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 50
Issue: 4
Year: 2000
Pages: 879-887
Summary lang: English
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Category: math
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Summary: The purpose of this paper is to obtain oscillation criteria for the differential system \[ \begin{aligned}{[y_1(t)-a(t)y_1(g(t))]}^{\prime}&=p_1(t)f_1(y_2(h_2(t))) \\ y_2^{\prime }(t)&=p_2(t)f_2(y_3(h_3(t))) \\ y_3^{\prime }(t)&= - p_3(t)f_3(y_1(h_1(t))), \quad t\in \mathbb R_+=[0,\infty ).\end{aligned} \] (English)
Keyword: differential system of neutral type
Keyword: oscillatory (nonoscillatory) solution
MSC: 34K11
MSC: 34K15
MSC: 34K40
idZBL: Zbl 1079.34550
idMR: MR1792977
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Date available: 2009-09-24T10:38:47Z
Last updated: 2016-04-07
Stable URL: http://hdl.handle.net/10338.dmlcz/127617
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Reference: [5] P. Marušiak: Oscillation criteria for nonlinear differential systems with general deviating arguments of mixed type.Hiroshima Math. J. 20 (1990), 197–208. MR 1050436
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Reference: [9] V. N. Shevelo and V. N. Varech: On some properties of solutions of a system of functional differential equations.Kiev (1980), 153–171. (Russian)
Reference: [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. (Russian)
Reference: [11] E. Špániková: Asymptotic properties of solutions of nonlinear differential systems with deviating arguments.Čas. Pěst. Mat. (1990), no. 2, 178–191.
Reference: [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. MR 1083211
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