Title:
|
Some converse theorems in the asymptotic theory of ordinary differential equations (English) |
Author:
|
Šimša, Jaromír |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
38 |
Issue:
|
3 |
Year:
|
1988 |
Pages:
|
425-433 |
. |
Category:
|
math |
. |
MSC:
|
34A30 |
MSC:
|
34A55 |
MSC:
|
34E05 |
idZBL:
|
Zbl 0674.34056 |
idMR:
|
MR950296 |
DOI:
|
10.21136/CMJ.1988.102238 |
. |
Date available:
|
2008-06-09T15:22:15Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102238 |
. |
Reference:
|
[1] P. Hartman: Ordinary Differential Equations.John Wiley, New York, 1964, Zbl 0125.32102, MR 0171038 |
Reference:
|
[2] J. Šimša: Asymptotic integration of perturbed linear differential equations under conditions involving ordinary integral convergence.SIAM J. Math. Anal. 15 (1984), 116-123. MR 0728686, 10.1137/0515007 |
Reference:
|
[3] J. Šimša: The second order differential equation with oscillatory coefficient.Arch. Math. (Brno) 18(1982) 95-100. MR 0683351 |
Reference:
|
[4] J. Šimša: The condition of ordinary integral convergence in the asymptotic theory of linear differential equations with almost constant coefficients.SIAM J. Math. Anal. 16 (1985) 757-769. MR 0793920, 10.1137/0516057 |
Reference:
|
[5] W. F. Trench: Asymptotic integration of linear differential equations subject to mild integral conditions.SIAM J. Math. Anal. 15 (1984) 932-942. Zbl 0567.34008, MR 0755853, 10.1137/0515070 |
Reference:
|
[6] W. F. Trench: Linear perturbations of a constant coefficient differential equation subject to mild integral smallness conditions.submitted for publication. Zbl 0623.34059 |
. |