Title:
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On a class of linear $n$-th order differential equations (English) |
Author:
|
Šeda, Valter |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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39 |
Issue:
|
2 |
Year:
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1989 |
Pages:
|
350-369 |
. |
Category:
|
math |
. |
MSC:
|
34A30 |
MSC:
|
34C10 |
idZBL:
|
Zbl 0685.34034 |
idMR:
|
MR992139 |
DOI:
|
10.21136/CMJ.1989.102307 |
. |
Date available:
|
2008-06-09T15:27:23Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102307 |
. |
Reference:
|
[1] Чантурия Т. A.: О колеблемости решений линейных дифференциальных уравнений высших порядков.Доклады семинара Инст. Прикл. Мат.им. И. H. Векуа,Тбилисского гос.унив. 16 (1982), 1-74. Zbl 1171.03330 |
Reference:
|
[2] Elias U.: Nonoscillation and Eventual disconjugacy.Proc. Amer. Math. Soc. 66 (1977), 269-275. Zbl 0367.34024, MR 0460791 |
Reference:
|
[3] Hartman Ph:. : Principal Solutions of Disconjugate $n$-th Order Linear Differential Equations.Amer. J. Math. 91 (1969), 306-362. MR 0247181 |
Reference:
|
[4] Greguš M.: Third Order Linear Differential Equations.D. Reidel Publishing Co., Dordrecht, 1987. MR 0882545 |
Reference:
|
[5] Кигурадзе И. Т.: Некоторые сингулярные краевые задачи для обыкновенных дифференциальных уравнений.Издат. Тбилисского гос. унив., Тбилиси 1975. Zbl 1159.86300 |
Reference:
|
[6] Лeeuн A. Ю.: Неосцилляция решений уравнения $х^{(n)} + p_1(t) x^{(n-1)} + \ldots + p_n(t) x = 0$.Усд. Мат. Наук, т. 24 (1969), 43-96. |
Reference:
|
[7] Medveď M.: Sufficient Condition for the Non-Oscillation of the Non-Homogeneous Linear $n$-th Order Differential Equation.Mat. Čas. 18 (1968), 99-104. MR 0245902 |
Reference:
|
[8] Regenda J.: Oscillatory and Nonoscillatory Properties of Solutions of the Differential Equation $y^{(4)} + P(t)y" + Q(t)y = 0$.Math. Slovaca 28 (1978), 329-342. MR 0534812 |
Reference:
|
[9] Regenda J.: On the Oscillation of Solutions of a Class of Linear Fourth Order Differential Equations.Czech. Math. J. 33 (108) (1983), 141-148. Zbl 0547.34023, MR 0687427 |
Reference:
|
[10] Regenda J.: Oscillation Theorems for a Class of Linear Fourth Order Differential Equations.Czech. Math. J. 34 (109) (1984), 113-120. Zbl 0542.34030, MR 0731984 |
Reference:
|
[11] Regenda J.: Oscillation Criteria for Differential Equation $y^{(4)} + P(t)y"+R(t)y' + Q(t)y=0$.Math. Slovaca 34 (1984),419-425. MR 0775251 |
Reference:
|
[12] Šeda V.: Nonoscillatory Solutions of Differential Equations With Deviating Argument.Czech. Math. J. 36 (111) (1986), 93-107. MR 0822871 |
Reference:
|
[13] Trench W. F.: Canonical Forms and Principal Systems for General Disconjugate Equations.Trans. Amer. Math. Soc. 189 (1974), 319-327. Zbl 0289.34051, MR 0330632, 10.1090/S0002-9947-1974-0330632-X |
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