Oscillation of differential systems of neutral type

Eva Špániková

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 1, page 263-271
  • ISSN: 0011-4642

Abstract

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We study oscillatory properties of solutions of systems [ y 1 ( t ) - a ( t ) y 1 ( g ( t ) ) ] ' = p 1 ( t ) y 2 ( t ) , y 2 ' ( t ) = - p 2 ( t ) f ( y 1 ( h ( t ) ) ) , t ≥ t 0 .

How to cite

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Špániková, Eva. "Oscillation of differential systems of neutral type." Czechoslovak Mathematical Journal 55.1 (2005): 263-271. <http://eudml.org/doc/30943>.

@article{Špániková2005,
abstract = {We study oscillatory properties of solutions of systems \[ \begin\{aligned\} \{[y\_1(t)-a(t)y\_1(g(t))]\}^\{\prime \}=&p\_1(t)y\_2(t), y\_2^\{\prime \}(t)=&\{-p\_2\}(t)f(y\_1(h(t))), \quad t\ge t\_0. \end\{aligned\} \]},
author = {Špániková, Eva},
journal = {Czechoslovak Mathematical Journal},
keywords = {differential system of neutral type; oscillatory solution; differential system of neutral type; oscillatory solution},
language = {eng},
number = {1},
pages = {263-271},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Oscillation of differential systems of neutral type},
url = {http://eudml.org/doc/30943},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Špániková, Eva
TI - Oscillation of differential systems of neutral type
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 1
SP - 263
EP - 271
AB - We study oscillatory properties of solutions of systems \[ \begin{aligned} {[y_1(t)-a(t)y_1(g(t))]}^{\prime }=&p_1(t)y_2(t), y_2^{\prime }(t)=&{-p_2}(t)f(y_1(h(t))), \quad t\ge t_0. \end{aligned} \]
LA - eng
KW - differential system of neutral type; oscillatory solution; differential system of neutral type; oscillatory solution
UR - http://eudml.org/doc/30943
ER -

References

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  2. 10.1016/0022-247X(78)90267-6, J.  Math. Anal. Appl. 66 (1978), 20–36. (1978) MR0513483DOI10.1016/0022-247X(78)90267-6
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  5. Some properties of neutral differential systems equations, Bolletino U.M.I. 8 5-B (2002), 279–287. (2002) MR1911192
  6. Oscillation of second order linear neutral differential equations, In: Proceedings of the International Scientific Conference of Mathematics, University of Žilina, Žilina, 1998, pp. 195–201. (1998) 
  7. 10.32917/hmj/1206127821, Hiroshima Math.  J. 25 (1995), 1–10. (1995) MR1322598DOI10.32917/hmj/1206127821
  8. Oscillation of nonlinear differential systems with retarded arguments, 1st  International Conference APLIMAT 2002, , Bratislava, 2002, pp. 309–312. (2002) 
  9. 10.1023/A:1022429031938, Czechoslovak Math.  J. 50(125) (2000), 879–887. (2000) MR1792977DOI10.1023/A:1022429031938
  10. Oscillatory properties of solutions of neutral differential systems, Fasc. Math. 31 (2001), 91–103. (2001) MR1860551

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