| Title:
|
Existence of oscillatory and nonoscillatory solutions for a class of neutral functional differential equations (English) |
| Author:
|
Kitamura, Y. |
| Author:
|
Kusano, T. |
| Author:
|
Lalli, B. S. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
120 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
57-69 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For a certain class of functional differential equations with perturbations conditions are given such that there exist solutions which converge to solutions of the equations without perturbation. (English) |
| Keyword:
|
neutral differential equation |
| Keyword:
|
asymptotic and oscillatory behaviour |
| Keyword:
|
unperturbed equations |
| MSC:
|
34C10 |
| MSC:
|
34K15 |
| MSC:
|
34K40 |
| MSC:
|
34K99 |
| idZBL:
|
Zbl 0838.34079 |
| idMR:
|
MR1336946 |
| DOI:
|
10.21136/MB.1995.125896 |
| . |
| Date available:
|
2009-09-24T21:08:56Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125896 |
| . |
| Reference:
|
[1] J. Jaroš, T. Kusano: Asymptotic behavior of nonoscillatory solutions of nonlinear functional differential equations of neutral type.Funkcial. Ekvac. 32 (1989), 251-263. MR 1019433 |
| Reference:
|
[2] J. Jaroš, T. Kusano: Existence of oscillatory solutions for functional differential equations of neutral type.Acta Math. Univ. Comenian. 90 (1991), 185-194. MR 1155243 |
| Reference:
|
[3] Y. Kitamura, T. Kusano: Oscillation and asymptotic behavior of first order functional differential equations of neutral type.Funkcial. Ekvac. 33 (1990), 325-343. MR 1078135 |
| Reference:
|
[4] Y. Naito: Nonoscillatory solutions of neutral differential equations.Hiгoshima Math. J. 20 (1990), 233-258. Zbl 0721.34091, MR 1063362 |
| Reference:
|
[5] Y. Naito: Asymptotic behavior of decaying nonoscillatory solutions of neutral differential equations.Funkcial. Ekvac 35 (1992), 95-110. Zbl 0771.34054, MR 1172423 |
| Reference:
|
[6] Y. Naito: Existence and asymptotic behavior of positive solutions of neutral differential equations.J. Math. Anal. Appl. To appear. Zbl 0818.34036, MR 1301729 |
| Reference:
|
[7] J. Ruan: Types and criteria of nonoscillatory solutìons of second order linear neutral differential equations.Chinese Ann. Math. Ser. A 8 (1987), 114-124. (In Chinese.) MR 0901645 |
| . |
