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Article

Title: 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: 1572-9141 (online)
Volume: 31
Issue: 1
Year: 1981
Pages: 114-126
Summary lang: Russian
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Category: math
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MSC: 34A10
idZBL: Zbl 0478.34006
idMR: MR604119
DOI: 10.21136/CMJ.1981.101730
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Date available: 2008-06-09T14:42:59Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101730
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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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