Title:
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Asymptotic properties of derivatives of central dispersions of the $k$-th kind for the differential equation $y''=q(t)y$ (English) |
Author:
|
Staněk, Svatoslav |
Language:
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English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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27 |
Issue:
|
4 |
Year:
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1977 |
Pages:
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644-662 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
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34C10 |
idZBL:
|
Zbl 0402.34020 |
idMR:
|
MR0460794 |
DOI:
|
10.21136/CMJ.1977.101502 |
. |
Date available:
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2008-06-09T14:26:12Z |
Last updated:
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2020-07-28 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/101502 |
. |
Reference:
|
[1] Bartušek M.: Connection between asymptotic properties and zeros of solutions of $y'' = q(t)y$.Arch. Math. 3, scripta fac. sci. nat. UJEP Brunensis, VIII : 113 - 124, 1972. MR 0340715 |
Reference:
|
[2] Bartušek M.: On asymptotic properties and distribution of zeros of solutions of $y'' = q(t)y$.Acta F.R.N. Univ. Comenianae Math. XXXII (1975), 69-86. MR 0539861 |
Reference:
|
[3] Bartušek M.: On asymptotic behaviour of central dispersions of linear differential equations of the second order.Časopis pro pěstování matematiky, 100 (1975), 255-260. MR 0387704 |
Reference:
|
[4] Borůvka O.: Linear Differential Transformations of the Second Order.The English Universities Press Ltd, London 1971. MR 0463539 |
Reference:
|
[5] Hartman P.: Ordinary differential equations.(in Russian), Moscow 1970. Zbl 0214.09101 |
Reference:
|
[6] Neuman F.: A Role of Abel's Equation in the Stability Theory of Differential Equations.Aequat. Math. 6 (1971), 66-70. Zbl 0215.43803, MR 0299899, 10.1007/BF01833239 |
Reference:
|
[7] Neuman F.: Distribution of zeros of solutions of $y'' = q(t) y$ in relation to their behaviour in large.Studia Sci. Math. Hungar. 8 (1973), 177-185. Zbl 0286.34050, MR 0333344 |
Reference:
|
[8] Staněk S.: Asymptotic properties of dispersions of the differential equations $y'' = q(t) y$.Arch. Math. 2, scripta fac. sci. nat. UJEP Brunensis XI: 85-98, 1975. MR 0407379 |
Reference:
|
[9] Staněk S.: On asymptotic properties of central dispersions of the $k$-th kind of $y'' = q(t) у$ with $k = 1, 2, 3, 4$.Arch. Math. 2, scripta fac. sci. nat. UJEP Brunensis ХII, 87-98, 1976. |
Reference:
|
[10] Tricomi F. G.: Differential equations.(in Russian), Moscow 1968. |
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