Title:
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On a Kneser problem for a system of nonlinear ordinary differential equations (English) |
Author:
|
Rachůnková, Irena |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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31 |
Issue:
|
1 |
Year:
|
1981 |
Pages:
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114-126 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
34A10 |
idZBL:
|
Zbl 0478.34006 |
idMR:
|
MR604119 |
DOI:
|
10.21136/CMJ.1981.101730 |
. |
Date available:
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2008-06-09T14:42:59Z |
Last updated:
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2020-07-28 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/101730 |
. |
Reference:
|
[1] A. Kneser: Untersuchung und asymptotische Darstellung der Integrale gewisser Differentialgleichungen bei grossen reellen Werthen des Arguments.Journ. für die reine und angew. Math., 116 (1896), 178-212. |
Reference:
|
[2] A. Mambriani: Sul un teorema relative alle equazioni differenziali ordinairie del $2^do$ ordine.Rend. R. Acc. Naz. dei Lincei, 9 (1929), 620-622. |
Reference:
|
[3] P. Hartman A. Wintner: On the non-increasing solutions of y" = f(x, y, y').Amer. Journ. of Math., 73 (1951), 390-404. MR 0042004, 10.2307/2372184 |
Reference:
|
[4] I. T. Kiguradze: On the non-negative non-increasing solutions of non-linear second order differential equations.Ann. di Mat. pura ed appl., 81 (1969), 169-192. MR 0248398 |
Reference:
|
[5] I. T. Kiguradze: О monotonnych rešenijach nělinějnych obyknověnnych differencial'nych uravnenij n-go porjadka.Izv. AN SSSR, ser. matem., 33 (1969), 1373-1398. MR 0259212 |
Reference:
|
[6] P. Hartman A. Wintner: On monotone solutions of systems of non-hnear differential equations.Amer. Journ. of Math., 76 (1954), 860-866. MR 0064223, 10.2307/2372660 |
Reference:
|
[7] С. V. Coffman: Non-linear differential equations on cones in Banach spaces.Pacific Journ. Math., 14 (1964), 9-16. MR 0163193, 10.2140/pjm.1964.14.9 |
Reference:
|
[8] T. A. Canturija: О zadace tipa Knesera dlja sistemy obyknovennych differencial'nych uravnenij.Matem. zametki, 75 (1974), 897-906. MR 0377146 |
Reference:
|
[9] I. T. Kiguradze: Někotoryje singuljarnyje krajevyje zadači dlja obyknověnnych differencial'nych uravněnij.Izd. Tbilisskogo univ., Tbilisi, 1975. MR 0499402 |
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