| Title:
|
Asymptotic equivalence of second order differential equations (English) |
| Author:
|
Kuben, Jaromír |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
34 |
| Issue:
|
2 |
| Year:
|
1984 |
| Pages:
|
189-202 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34D05 |
| MSC:
|
34E10 |
| idZBL:
|
Zbl 0555.34048 |
| idMR:
|
MR743485 |
| DOI:
|
10.21136/CMJ.1984.101943 |
| . |
| Date available:
|
2008-06-09T14:59:12Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101943 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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[6] Brauer F.: Asymptotic equivalence and asymptotic behavior of linear systems.Michigan J. Math. P (1962), 33-43. MR 0133498 |
| Reference:
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[7] Onuchic N.: Relationship among the solutions of two systems of ordinary differential equations.Michigan J. Math. 10 (1963), 129-139. MR 0165192, 10.1307/mmj/1028998863 |
| Reference:
|
[8] Onuchic N.: Nonlinear perturbation of a linear system of ordinary differential equations.Michigan J. Math. 11 (1964), 237-242. Zbl 0126.30003, MR 0167692, 10.1307/mmj/1028999136 |
| Reference:
|
[9] Kato J.: The asymptotic relations of two systems of ordinary differential equations.Contr. Diff. Eqs. i(1964), 141-161. Zbl 0137.28101, MR 0163006 |
| Reference:
|
[10] 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:
|
[11] Onuchic N.: Asymptotic relationships at infinity between the solutions of two systems of ordinary differential equations.J. Diff. Eq. 3 (1967), 47-58. MR 0203150, 10.1016/0022-0396(67)90005-8 |
| Reference:
|
[12] Brauer F., Wong: On the asymptotic relationship between solutions of two systems of ordinary differential equations.J. Diff. Eq. 6 (1969), 527-543. MR 0252765, 10.1016/0022-0396(69)90008-4 |
| Reference:
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[13] Brauer F., Wong: On asymptotic behavior of perturbed linear systems.J. Diff. Eq. 6 (1969), 142-153. Zbl 0201.11703, MR 0239213, 10.1016/0022-0396(69)90122-3 |
| Reference:
|
[14] Hallam T. G.: On asymptotic equivalence of the bounded solutions off two systems of differential equations.Michigan J. Math. 16 (1969), 353-363. MR 0252766, 10.1307/mmj/1029000319 |
| Reference:
|
[15] Hallam T. G., Onuchic N.: Asymptotic relations between perturbed linear systems of ordinary differential equations.Рас. J. Math. 45 (1973), 187-199. Zbl 0261.34039, MR 0316835 |
| Reference:
|
[16] Hallam T. G.: Asymptotic relationships between the solutions of two second order differential equations.Ann. Polon. Math. 24 (1971), 295-300. Zbl 0217.40103, MR 0301316, 10.4064/ap-24-3-295-300 |
| Reference:
|
[17] Švec M.: Asymptototic relationship between solutions of two systems of differential equations.Czech. Math. J. 24 (99), Nr. 1 (1974), 44-58. MR 0348202 |
| Reference:
|
[18] Ráb M.: Asymptotic relationships between the solutions of two systems of differential equations.Ann. Polon. Math. 30 (1974), 119-124. MR 0355217, 10.4064/ap-30-2-119-124 |
| Reference:
|
[19] Kitamura Y.: Remarks on the asymptotic relationships between solutions of two systems of ordinary differential equations.Hiroshima Math. J. 6, No. 2 (1976), 403 - 420. Zbl 0337.34045, MR 0412534, 10.32917/hmj/1206136334 |
| Reference:
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[20] Marlin Struble: Asymptotic equivalence of nonlinear systems.J. Diff. Eq. 6 (1969), 578- 596. MR 0252768, 10.1016/0022-0396(69)90010-2 |
| Reference:
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[21] Hallam T. G.: Asymptotic expansions in certain second order non-homogeneous differential equations.Mathematika 15 (1968), 30-38. MR 0229917, 10.1112/S0025579300002345 |
| Reference:
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[22] Charlamov P. V.: On estimates of solutions of a system of differential equations.(Russian), Ukrainskij mat. zurnal 7 (1955), 471-473. |
| Reference:
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[24] Lakshmikantham V., Leela S.: Differential and Integral Inequalities.Volume I. New York and London, Academic Press 1969. Zbl 0177.12403 |
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| . |
