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Title: On singular boundary value problems for two-dimensional differential systems (English)
Author: Shekhter, B. L.
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 19
Issue: 1
Year: 1983
Pages: 19-41
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Category: math
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MSC: 34A12
MSC: 34B10
MSC: 34B15
idZBL: Zbl 0535.34010
idMR: MR724306
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Date available: 2008-06-06T06:11:46Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107153
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Reference: [1] Tonelli L.: Sull'equazione differenziale $y"=f(x,y,y')$.Ann. R. Scuola norm. super. Pisa, Sci. fis. e mat., 1939, 8, 75-88. MR 1556818
Reference: [2] Epheser H.: Über die Existenz der Lösungen von Randwertaufgaben mit gewöhnlichen, nichtlinearen Differentialgleichungen zweiter Ordnung.Math. Z., 1955, 61, N4, 435-454. MR 0069367
Reference: [3] Kiguradze I. T.: Some singular boundary value problems for ordinary differential equations.(Russian), Tbilisi, Tbilisi Univ. Press, 1975. MR 0499402
Reference: [4] Shekhter B. L.: On a boundary value problem for two-dimensional discontinuous differential systems.(Russian), Proc. I. N. Vekua Inst. Appl. Math., 1980, 8, 79-161. Zbl 0492.34014, MR 0650587
Reference: [5] Lezhava N. R.: On the solvability of a nonlinear problem for a system of two differential equations.(Russian), Bull. Acad. Sc. Georg. SSR, 1972, 68, N 3, 545-547. MR 0355173
Reference: [6] Krasnoselsky M. A., Perov A. I, Povolotsky A. I., Zabreiko P. P.: Vector fields on the plane.(Russian), Moscow, Fizmatgiz, 1963.
Reference: [7] Haгtman P.: Ordinary differential equations.(Russian), Moscow, „Mir", 1970. MR 0352574
Reference: [8] Gogiberidze N. V., Kiguradze I. T.: Concerning the disconjugacy of second order singular differential equations.(Russian), Differentsiaľnye Uravneniya, 1974, 10, N 11, 2064-2067. MR 0357970
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