Title:
|
Monotonicity theorems for second order non-linear differential equations (English) |
Author:
|
Bartušek, Miroslav |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
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1212-5059 (online) |
Volume:
|
16 |
Issue:
|
3 |
Year:
|
1980 |
Pages:
|
127-135 |
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Category:
|
math |
. |
MSC:
|
34A34 |
MSC:
|
34C15 |
idZBL:
|
Zbl 0448.34041 |
idMR:
|
MR594458 |
. |
Date available:
|
2008-06-06T06:07:51Z |
Last updated:
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2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107065 |
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Reference:
|
[1] M. Бapтyшек: O нyляx кoлеблющиxcя pешений ypaвнения $(p(x)x')' + f(t, x, x') = 0$.Дифф. ypaв., XII, Но. 24, 621-625. |
Reference:
|
[2] M. Bartušеk: On Zeros of Solutions of the Differential Equation $(p(t)y')' + f(t,y,y') = 0$.Arch. Math., XI, No. 4, 187-192. MR 0409975 |
Reference:
|
[3] M. Bartušek: Monotonicity Theorems concerning Differential Equations $y" +f(t,y,y') = 0$.Arch. Math., XII, No. 4, 1976, 169-178. MR 0430410 |
Reference:
|
[4] M. Bartušek: On Zeros of Solutions of the Differential Equation $y" + f(t,y)g(y') = 0$.Aгch. Math., XV, 3, 129-132. MR 0562336 |
Reference:
|
[5] I. Bihaгi: Oscillation and Monotonity Theorems Concerning Non-linear Differential Equations of the Second Order.Acta Math. Acad. Sci. Нung., IX, No. 1-2, 1958, 83-104. MR 0095321 |
Reference:
|
[6] K. M. Daѕ: Comparison and Monotonity Theorems for Second Order Non-linear Differential Equations.Acta Math. Sci. Hung., XV, No. 3-4, 1964, 449-456. MR 0176155 |
Reference:
|
[7] A. Г. Kaтpaмoв: Oб acuмnmomuчecкoм noвeдeнuu кoлeблющuxcя peшeнuй ypaвлeнuя $\ddot{x} + f(t, x)g(\dot{x}) = 0$.Дифф. ypaблeния, VIH, Но. 6, 1972, 1111-1115. |
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