| Title:
|
Asymptotic relationship between solutions of two systems of differential equations (English) |
| Author:
|
Švec, Marko |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
24 |
| Issue:
|
1 |
| Year:
|
1974 |
| Pages:
|
44-58 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
34D05 |
| idZBL:
|
Zbl 0322.34037 |
| idMR:
|
MR0348202 |
| DOI:
|
10.21136/CMJ.1974.101216 |
| . |
| Date available:
|
2008-06-09T14:05:13Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101216 |
| . |
| Reference:
|
[1] Weyl H.: Comment on the preceding paper.Am. J. Math. 68 (1946), 7-12. Zbl 0061.19707, MR 0015182, 10.2307/2371735 |
| Reference:
|
[2] Levinson N.: The asymptotic behavior of a system of linear differential equations.Am. J. Math. 68 (1946), 1-6. MR 0015181, 10.2307/2371734 |
| Reference:
|
[3] Levinson N.: The asymptotic nature of solutions of linear systems of differential equations.Duke Math. J. 15 (1948), 111-126. Zbl 0040.19402, MR 0024538 |
| Reference:
|
[4] Wintner A.: Linear variation of constants.Am. J. Math. 68 (1946), 185-213. MR 0016813, 10.2307/2371831 |
| Reference:
|
[5] Wintner A.: Asymptotic integration constants.Am. J. Math. 68 (1946), 553--559. Zbl 0063.08295, MR 0018310, 10.2307/2371784 |
| Reference:
|
[6] Jakubovič V. A.: On asymptotic behavior of the solutions of a system of differential equations.Mat. Sborník (N.S.) 28 (70), 217-240. MR 0039874 |
| Reference:
|
[7] Brauer F.: Asymptotic equivalence and asymptotic behavior of linear systems.Michigan Math. J. 9 (1962), 33-43. MR 0133498, 10.1307/mmj/1028998618 |
| Reference:
|
[8] Brauer F. : Nonlinear differential equations with forcing terms.Proc. Am. Math. Soc. 15 (1964), 758-765. Zbl 0126.30004, MR 0166452, 10.1090/S0002-9939-1964-0166452-8 |
| Reference:
|
[9] Brauer F., Wong J. S. W.: On asymptotic behavior of perturbed linear systems.J. Differential Equations 6 (1969), 142-153. Zbl 0201.11703, MR 0239213, 10.1016/0022-0396(69)90122-3 |
| Reference:
|
[10] Brauer F., Wong J. S. W.: On the asymptotic relationships between solutions of two systems of ordinary differential equations.J. Differential Eqs. 6 (1969), 527-543. Zbl 0185.16601, MR 0252765, 10.1016/0022-0396(69)90008-4 |
| Reference:
|
[11] Onuchic N.: Relationship among the solutions of two systems of ordinary differential equations.Michigan Math. J. 10 (1963), 129-139. MR 0165192, 10.1307/mmj/1028998863 |
| Reference:
|
[12] Onuchic N.: Nonlinear perturbation of a linear system of ordinary differential equations.Michigan Math. J. 11 (1964), 237-242. Zbl 0126.30003, MR 0167692, 10.1307/mmj/1028999136 |
| Reference:
|
[13] Onuchic N.: Asymptotic relationship at infinity between the solutions of two systems of ordinary differential equations.J. Differential Eqs. 3 (1967), 47-58. MR 0203150, 10.1016/0022-0396(67)90005-8 |
| . |
