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

Eva Špániková

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 4, page 879-887
  • ISSN: 0011-4642

Abstract

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The purpose of this paper is to obtain oscillation criteria for the differential system [ 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 ) ) ) , t ∈ ℝ + = [ 0 , ∞ ) .

How to cite

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Špániková, Eva. "Oscillatory properties of solutions of three-dimensional differential systems of neutral type." Czechoslovak Mathematical Journal 50.4 (2000): 879-887. <http://eudml.org/doc/30607>.

@article{Špániková2000,
abstract = {The purpose of this paper is to obtain oscillation criteria for the differential system \[ \begin\{aligned\}\{[y\_1(t)-a(t)y\_1(g(t))]\}^\{\prime \}&=p\_1(t)f\_1(y\_2(h\_2(t))) \\ y\_2^\{\prime \}(t)&=p\_2(t)f\_2(y\_3(h\_3(t))) \\ y\_3^\{\prime \}(t)&= - p\_3(t)f\_3(y\_1(h\_1(t))), \quad t\in \mathbb \{R\}\_+=[0,\infty ).\end\{aligned\} \]},
author = {Špániková, Eva},
journal = {Czechoslovak Mathematical Journal},
keywords = {differential system of neutral type; oscillatory (nonoscillatory) solution; differential system of neutral type; oscillatory (nonoscillatory) solution},
language = {eng},
number = {4},
pages = {879-887},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Oscillatory properties of solutions of three-dimensional differential systems of neutral type},
url = {http://eudml.org/doc/30607},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Špániková, Eva
TI - Oscillatory properties of solutions of three-dimensional differential systems of neutral type
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 4
SP - 879
EP - 887
AB - The purpose of this paper is to obtain oscillation criteria for the differential system \[ \begin{aligned}{[y_1(t)-a(t)y_1(g(t))]}^{\prime }&=p_1(t)f_1(y_2(h_2(t))) \\ y_2^{\prime }(t)&=p_2(t)f_2(y_3(h_3(t))) \\ y_3^{\prime }(t)&= - p_3(t)f_3(y_1(h_1(t))), \quad t\in \mathbb {R}_+=[0,\infty ).\end{aligned} \]
LA - eng
KW - differential system of neutral type; oscillatory (nonoscillatory) solution; differential system of neutral type; oscillatory (nonoscillatory) solution
UR - http://eudml.org/doc/30607
ER -

References

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  7. Some properties of differential systems with deviating arguments, Fasc. Math. 21 (1990), 5–26. (1990) MR1115515
  8. On nonlinear differential systems with deviating arguments, Czechoslovak Math. J. 36 (111) (1986), 450–466. (1986) MR0847772
  9. On some properties of solutions of a system of functional differential equations, Kiev (1980), 153–171. (Russian) (1980) 
  10. 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) (1984) 
  11. Asymptotic properties of solutions of nonlinear differential systems with deviating arguments, Čas. Pěst. Mat. (1990), no. 2, 178–191. (1990) 
  12. Oscillatory properties of the solutions of three-dimensional nonlinear differential systems with deviating arguments, Acta Math. Univ. Comenian LIV–LV (1988), 173–183. (1988) MR1083211

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