Title:
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On oscillation and asymptotic property of a class of third order differential equations (English) |
Author:
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Parhi, N. |
Author:
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Pardi, Seshadev |
Language:
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English |
Journal:
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Czechoslovak Mathematical Journal |
ISSN:
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0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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49 |
Issue:
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1 |
Year:
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1999 |
Pages:
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21-33 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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In this paper, oscillation and asymptotic behaviour of solutions of \[ y^{\prime \prime \prime } + a(t)y^{\prime \prime }+b(t)y^{\prime } + c(t)y=0 \] have been studied under suitable assumptions on the coefficient functions $a,b,c\in C([\sigma ,\infty ),R)$, $ \sigma \in R$, such that $a(t)\ge 0$, $b(t) \le 0$ and $c(t) < 0$. (English) |
MSC:
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34C10 |
idZBL:
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Zbl 0955.34023 |
idMR:
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MR1676698 |
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Date available:
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2009-09-24T10:19:25Z |
Last updated:
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2020-07-03 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/127463 |
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Reference:
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[1] S. Ahmad, A.C. Lazer: On the oscillatory behaviour of a class of linear third order differential equations.J. Math. Anal. Appl. 28 (1970), 681–689, MR 40 # 1646. MR 0248394 |
Reference:
|
[2] M. Gera: On the behaviour of solutions of the differential equation $x^{\prime \prime \prime }+a(t) x^{\prime \prime }+b(t) x^{\prime }+c(t) x =0$.Habilitation Thesis, Faculty of Mathematics and Physics, Comenius University, Bratislava. (Slovak) |
Reference:
|
[3] M. Greguš: Third Order Linear Differential Equations.D. Reidel Pub. Co., Boston, 1987. MR 0882545 |
Reference:
|
[4] M. Hanan: Oscillation criteria for third-order linear differential equations.Pacific J. Math. 11 (1961), 919–944, MR 26 # 2695. Zbl 0104.30901, MR 0145160 |
Reference:
|
[5] G.D. Jones: Properties of solutions of a class of third order differential equations.J. Math. Anal. Appl. 48 (1974), 165–169. Zbl 0289.34046, MR 0352608, 10.1016/0022-247X(74)90224-8 |
Reference:
|
[6] N. Parhi, S. Parhi: Qualitative behaviour of solutions of forced nonlinear third order differential equations.Rivista di Matematica della Universita di Parma 13 (1987), 201–210. MR 0977675 |
Reference:
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[7] N. Parhi, P. Das: On asymptotic property of solutions of linear homogeneous third order differential equations.Bollettino U.M.I 7-B (1993), 775–786. MR 1255647 |
Reference:
|
[8] N. Parhi, P. Das: On the oscillation of a class of linear homogeneous third order differential equations.To appear in Archivum Mathematicum. MR 1679638 |
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