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Title: On the boundedness of solutions of nonlinear second-order differential equations with parameter (English)
Author: Staněk, Svatoslav
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 27
Issue: 2
Year: 1991
Pages: 229-241
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Category: math
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MSC: 34B10
MSC: 34B15
MSC: 34C11
idZBL: Zbl 0755.34018
idMR: MR1189220
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Date available: 2008-06-06T06:23:50Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107426
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Reference: [1] Bebernes J.W., Jackson L.K: Infinite interval boundary value problems for $y'' = f(x,y)$.Duke Math. J., vol 34, 1967, 39-47. Zbl 0145.33102, MR 0206386
Reference: [2] Belova M. M.: Bounded solutions of non-linear differential equations of second order.Matematičeskii Sbornik, vol 56, 1962, 469-503. MR 0141824
Reference: [3] Corduneanu, C: Citeve probleme globale referitoare la ecuatiile diferentiale nelineare de ordinul al doilea.Studii şi Cercetări Ştiinţifice, Mathematica, vol 7, 1956, Academia Republicii populare Romîne, Filiala Iaşi, 1-7.
Reference: [4] Corduneanu, C: Existenta solutiilor marginite pentru unele ecuatii diferentiale de ordinul al doilea.Studii şi Cercetări Ştiinţifice, Mathematica, vol 8, 1957, Academia Republicii populare Romîne, Filiala Iaşi, 127-134. MR 0096866
Reference: [5] Greguš M., Neuman F., Arscott F.M.: Three-point boundary value problems in differential equations.J. London Math. Soc.(2), vol 3, 1971, 429-436. MR 0283282
Reference: [6] Kiguradze I.T.: Boundary value problems for systems of ordinary differential equations.Current problems in mathematics, Newest results, vol 30, 3-103, 204, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., 1987. (Russian) Zbl 0782.34025, MR 0925829
Reference: [7] Staněk S.: Three-point boundary value problem of nonlinear second-order differential equation with parametr.(to appear). MR 1179496
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