| 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 |
| . |
| Category:
|
math |
| . |
| 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 |
| . |
| Date available:
|
2009-09-24T10:38:47Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127617 |
| . |
| Reference:
|
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| Reference:
|
[2] I. Györi and G. Ladas: Oscillation of systems of neutral differential equations.Differential Integral Equations 1 (1988), 281–286. MR 0929915 |
| Reference:
|
[3] A. F. Ivanov and P. Marušiak: Oscillatory properties of systems of neutral differential equations.Hiroshima Math. J. 24 (1994), 423–434. MR 1284384, 10.32917/hmj/1206128033 |
| Reference:
|
[4] Y. Kitamura and T. Kusano: On the oscillation of a class of nonlinear differential systems with deviating argument.J. Math. Anal. Appl. 66 (1978), 20–36. MR 0513483, 10.1016/0022-247X(78)90267-6 |
| 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, 10.32917/hmj/1206454450 |
| Reference:
|
[6] P. Marušiak: Oscillatory properties of functional differential systems of neutral type.Czechoslovak Math. J. 43 (118) (1993), 649–662. MR 1258427 |
| Reference:
|
[7] B. Mihalíková: Some properties of differential systems with deviating arguments.Fasc. Math. 21 (1990), 5–26. MR 1115515 |
| Reference:
|
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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 |
| . |
