| Title:
|
Necessary and sufficient conditions for bounded oscillations of higher order delay differential equations of Euler's type (English) |
| Author:
|
Jaroš, Jaroslav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
1989 |
| Pages:
|
701-710 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| MSC:
|
34K15 |
| idZBL:
|
Zbl 0698.34057 |
| idMR:
|
MR1018006 |
| DOI:
|
10.21136/CMJ.1989.102347 |
| . |
| Date available:
|
2008-06-09T15:30:25Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102347 |
| . |
| Reference:
|
[1] T. A. Čanturia: On specific criteria of oscillation of solutions of linear differential equations with retarded argument.Ukrajin. Mat. Žurn. 38 (1986), 662-665 (Russian). MR 0870376 |
| Reference:
|
[2] J. Jaroš: Necessary and sufficient conditions for oscillations of first order delay differential equations and inequalities.submitted for publication. |
| Reference:
|
[3] I. T. Kiguradze: On the oscillation of solutions of the equation $\frac{d^m u}{dt^m} + a(t) |u|^n sgn u = 0$.Mat. Sb. 65 (1964), 172-187 (Russian). Zbl 0135.14302, MR 0173060 |
| Reference:
|
[4] R. G. Koplatadze, T. A. Čanturia: "On oscillatory properties of differential equations with deviating arguments".Tbilisi Univ. Press, Tbilisi, 1977 (Russian). |
| Reference:
|
[5] T. Kusano: On even order functional differential equations with advanced and retarded arguments.J. Differential Equations 45 (1982), 75-84. MR 0662487, 10.1016/0022-0396(82)90055-9 |
| Reference:
|
[6] G. Ladas, I. P. Stavroulakis: On delay differential inequalities of higher order.Canad. Math. Bull. 25 (1982), 348-354. MR 0668953, 10.4153/CMB-1982-049-8 |
| Reference:
|
[7] G. Ladas Y. G. Sficas, I. P. Stavroulakis: Necessary and sufficient conditions for oscillations.Amer. Math. Monthly 90 (1983), 637-640. MR 0719755, 10.1080/00029890.1983.11971299 |
| Reference:
|
[8] G. Ladas Y. G. Sficas, I. P. Stavroulakis: Necessary and sufficient conditions for oscillations of higher order delay differential equations.Trans. Amer. Math. Soc. 285 (1984), 81-90. MR 0748831, 10.1090/S0002-9947-1984-0748831-8 |
| Reference:
|
[9] G. Ladas, I. P. Stavroulakis: Oscilations of differential equations of the mixed type.J. Math. Phys. Sciences 18 (1984), 245-262. MR 0811966 |
| Reference:
|
[10] V. A. Nadareišvili: On oscillatory and monotonic solutions of first order differential equations with retarded arguments.Reports of Enlarged Sessions of the Seminar of I. N. Vekua Institute of Applied Mathematics 1 (1985), 111-115 (Russian). |
| Reference:
|
[11] Ch. G. Philos: On the existence of nonoscillatory solutions tending to zero at $\infty$ for differential equations with positive delays.Arch. Math. 36 (1981), 168-178. MR 0619435, 10.1007/BF01223686 |
| . |
