| Title:
|
Oscillation of differential systems of neutral type (English) |
| Author:
|
Špániková, Eva |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
263-271 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study oscillatory properties of solutions of systems \[ \begin{aligned} {[y_1(t)-a(t)y_1(g(t))]}^{\prime }=&p_1(t)y_2(t), y_2^{\prime }(t)=&{-p_2}(t)f(y_1(h(t))), \quad t\ge t_0. \end{aligned} \] (English) |
| Keyword:
|
differential system of neutral type |
| Keyword:
|
oscillatory solution |
| MSC:
|
34K11 |
| MSC:
|
34K15 |
| MSC:
|
34K40 |
| idZBL:
|
Zbl 1081.34079 |
| idMR:
|
MR2121672 |
| . |
| Date available:
|
2009-09-24T11:22:46Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127975 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] P. Marušiak: Oscillation criteria for nonlinear differential systems with general deviating arguments of mixed type.Hiroshima Math. J. 20 (1990), 197–208. MR 1050436, 10.32917/hmj/1206454450 |
| Reference:
|
[4] P. Marušiak: Oscillatory properties of functional differential systems of neutral type.Czechoslovak Math. J. 43(118) (1993), 649–662. MR 1258427 |
| Reference:
|
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| Reference:
|
[6] H. Mohamad and R. Olach: 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. |
| Reference:
|
[7] R. Olach: Oscillation of differential equation of neutral type.Hiroshima Math. J. 25 (1995), 1–10. MR 1322598, 10.32917/hmj/1206127821 |
| Reference:
|
[8] R. Olach and H. Šamajová: Oscillation of nonlinear differential systems with retarded arguments.1st International Conference APLIMAT 2002, , Bratislava, 2002, pp. 309–312. |
| Reference:
|
[9] E. Špániková: Oscillatory properties of solutions of three-dimensional differential systems of neutral type.Czechoslovak Math. J. 50(125) (2000), 879–887. MR 1792977, 10.1023/A:1022429031938 |
| Reference:
|
[10] E. Špániková: Oscillatory properties of solutions of neutral differential systems.Fasc. Math. 31 (2001), 91–103. MR 1860551 |
| . |
