Title:
|
Некоторые колеблющиеся свойства решений нелинейного дифференциального уравнения вида $y'''+p(x)y''+q(x)f(y')+r(x)h(y)=0$ (Russian) |
Title:
|
Some oscillation properties of the solutions of the nonlinear differential equation $y'''+p(x)y''+q(x)f(y')+r(x)h(y)=0$ (English) |
Author:
|
Moravský, Ladislav |
Language:
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Russian |
Journal:
|
Archivum Mathematicum |
ISSN:
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0044-8753 (print) |
ISSN:
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1212-5059 (online) |
Volume:
|
11 |
Issue:
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3 |
Year:
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1975 |
Pages:
|
139-149 |
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Category:
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math |
. |
MSC:
|
34C10 |
MSC:
|
34D05 |
idZBL:
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Zbl 0343.34027 |
idMR:
|
MR0412518 |
. |
Date available:
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2008-06-05T19:56:32Z |
Last updated:
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2012-05-09 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/104852 |
. |
Reference:
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[1] Greguš M.: Oszillatorische Eigenschaften der Lösungen der linearen Differentialgleichungen dritter Ordnung, $y"'+ 2Ay' + (A' + b)y = 0$, wo $A = A(x) \leq 0$ ist.Czechoslovak Math. J. (84) 9 (1959), 416-428. MR 0111888 |
Reference:
|
[2] Hanan M.: Oscilation criteria for third-order linear Differential Equation.Pacific J. Math. (3) 11 (1961), 919-944. MR 0145160 |
Reference:
|
[3] Lazer A. C: The behavior of Solutions of the Differential Equation $y'" + p(x)y' + q(x) y = 0$.Pacific Journal of Mathematics, Vol. 17, No. 3, 1966. MR 0193332 |
Reference:
|
[4] Moravský L.: Einige Eigenschaften der Lösungen der linearen Differentialgleichung 3. Ordnung $y'" + p(x)y" + 2A(x)y' + [A'(x) + b(x)] y = 0$.Acta F.R.N. Univ. Comen. Mathematica XVIII, 1967, 35-44. Zbl 0226.34029, MR 0264164 |
Reference:
|
[5] Ráb M.: Oszilatorische Eigenschaften der Lösungen linearen Differentialgleichung dritter Ordnung.Acta Acad. Sci. Cechoslovenicae Basis Brunensis 27 (1955), 349-360. MR 0080821 |
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