Oscillatory properties of solutions of three-dimensional differential systems of neutral type

Author: Scaron pániková E.

Source: Czechoslovak Mathematical Journal, Volume 50, Number 4, December 2000 , pp. 879-887(9)

Publisher: Springer

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Abstract:

The purpose of this paper is to obtain oscillation criteria for the differential system \eqalign{[y_1(t)-a(t)y_1(g(t))]^\prime = p_1 (t) f_1 (y_2 (h_2(t))) \cr y^\prime_2 (t) = p_2 (t)f_2(y_3(h_3(t))) \cr y^\prime _3 (t) = -p_3 (t)f_3 (y_1(h_1(t))), \quad t \in {\Bbb R}_+ = [0, \infty).}

Keywords: differential system of neutral type; oscillatory (nonoscillatory) solution

Language: English

Document Type: Research article

Affiliations: 1: Department of Appl. Mathematics, University of Zcaron ilina, J. M. Hurbana 15, 01026 Zcaron ilina, Slovakia, spanik@fstroj.utc.skilina, J. M. Hurbana 15, 01026 Zcaron ilina, Slovakia, spanik@fstroj.utc.sk">