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Title: An application of the Leray-Schauder degree theory to boundary value problem for third and fourth order differential equations depending on the parameter (English)
Author: Staněk, Svatoslav
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 34
Issue: 1
Year: 1995
Pages: 155-166
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Category: math
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MSC: 34B15
MSC: 34K10
MSC: 47H11
MSC: 47N20
idZBL: Zbl 0858.34020
idMR: MR1447264
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Date available: 2009-01-29T15:48:35Z
Last updated: 2012-05-03
Stable URL: http://hdl.handle.net/10338.dmlcz/120325
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Reference: [1] Fabry, Ch., Habets P.: The Picard boundary value problem for nonlinear second order vector differential equations.J. Differential Equations 42 (1981), 186-198. Zbl 0439.34018, MR 0641647
Reference: [2] Hartman P.: Ordinary Differential Equations.Wiley-Interscience, New York, 1964. Zbl 0125.32102, MR 0171038
Reference: [3] Pachpatte B. G.: On certain boundary value problem for third order differential equations.An. st. Univ. Iasi, f. 1, s. Ia, Mat. (1986), 61-74.
Reference: [4] Staněk S.: Three-point boundary value problem for nonlinear third-order differential equations with parameter.Acta Univ. Palacki. Olomuc., Fac. rer. nat. 100, Math. 30 (1991), 61-74. MR 1166426
Reference: [5] Staněk S.: On a class of functional boundary value problems for nonlinear third-order functional differential equations depending on the parameter.Arch. Math. 62 (1994), 462-469. Zbl 0801.34065, MR 1274754
Reference: [6] Staněk S.: Leray-Schauder degree method in functional boundary value problems depending on the parameter.Math. Nach. 164 (1993), 333-344. Zbl 0805.34053, MR 1251473
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