Title:
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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:
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1212-5059 (online) |
Volume:
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27 |
Issue:
|
2 |
Year:
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1991 |
Pages:
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229-241 |
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Category:
|
math |
. |
MSC:
|
34B10 |
MSC:
|
34B15 |
MSC:
|
34C11 |
idZBL:
|
Zbl 0755.34018 |
idMR:
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MR1189220 |
. |
Date available:
|
2008-06-06T06:23:50Z |
Last updated:
|
2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107426 |
. |
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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