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Title: On a certain nonlinear problem for two-dimensional differential systems (English)
Author: Kiguradze, Ivan T.
Author: Rachůnková, Irena
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 16
Issue: 1
Year: 1980
Pages: 15-37
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Category: math
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MSC: 34A12
MSC: 34A34
MSC: 92D25
idZBL: Zbl 0465.34004
idMR: MR594664
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Date available: 2008-06-06T06:07:16Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107052
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Reference: [1] Kneser A.: Untersuchung and asymptotische Darstellung der Integrale gewisser Differentialgleichungen bei grossen reellen Werthen des Arguments, I.Journ. für die reine und angew. Math., 1896,116,178-212.
Reference: [2] Fermi E.: Un metodo statistico per la determinazione di alcune proprieta dell' atomo.Rend. R. Acc. Naz. dei Lincei, 1927, 6, 602-607.
Reference: [3] Thomas L. H.: The calculation of atomic fields.Proc. of the Cambridge Phil. Soc., 1927, 23, 542-548.
Reference: [4] Mambriani A.: Su un teorema relativo alle equazioni differenziali ordinarie del 2° ordine.Rend. R. Acc. Naz. dei Lincei, 1929, 9, 620-622.
Reference: [5] Сансоне Дж. : Обыкновенные дифференциальные уравнения, т. II.Mocквa, ИЛ, 1954. Zbl 0082.37202
Reference: [6] Hartman P., Wintner A.: On the non-increasing solutions of $y"=f(x,y,y')$.Amer. Journ. of Math., 1951, 73, No 2, 390-404. MR 0042004
Reference: [7] Hartman P., Wintner A.: On monotone solutions of systems of non-linear differential equations.Amer. Journ. of Math., 1954, 76, No 4, 860-866. Zbl 0056.08403, MR 0064223
Reference: [8] Coffman C. V.: Non-linear differential equations on cones in Banach spaces.Pacific Jouгn. Math., 1964, 14, Jè 1, 9-16. MR 0163193
Reference: [9] Xapтмaн Ф.: Oбыкнoвeнныe дuффepeнцuaлъныe ypaeнeнuя.Mocквa, „Mиp, 1970.
Reference: [10] Kiguгadze I. T.: On the non-negative non-increasing solutions of non-linear second order differential equations.Ann. di Mat. pura ed appl., 1969, 81, No 4, 169-192.
Reference: [11] Чaнтypия T. A.: O зaдaчe muna Kнeзepa для cucmeмы oбыкнoвeнныx дuффepeнцuaлъныx ypaвнeнuй.Maтeм. зaмeтки, 1974, 15, M 6, 897-906.
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