On oscillation and asymptotic property of a class of third order differential equations
Czechoslovak Mathematical Journal (1999)
- Volume: 49, Issue: 1, page 21-33
- ISSN: 0011-4642
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topParhi, N., and Pardi, Seshadev. "On oscillation and asymptotic property of a class of third order differential equations." Czechoslovak Mathematical Journal 49.1 (1999): 21-33. <http://eudml.org/doc/30461>.
@article{Parhi1999,
abstract = {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 $c(t) < 0$.},
author = {Parhi, N., Pardi, Seshadev},
journal = {Czechoslovak Mathematical Journal},
keywords = {third-order linear equation; oscillation; nonoscillation},
language = {eng},
number = {1},
pages = {21-33},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On oscillation and asymptotic property of a class of third order differential equations},
url = {http://eudml.org/doc/30461},
volume = {49},
year = {1999},
}
TY - JOUR
AU - Parhi, N.
AU - Pardi, Seshadev
TI - On oscillation and asymptotic property of a class of third order differential equations
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 1
SP - 21
EP - 33
AB - 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 $c(t) < 0$.
LA - eng
KW - third-order linear equation; oscillation; nonoscillation
UR - http://eudml.org/doc/30461
ER -
References
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- Qualitative behaviour of solutions of forced nonlinear third order differential equations, Rivista di Matematica della Universita di Parma 13 (1987), 201–210. (1987) MR0977675
- On asymptotic property of solutions of linear homogeneous third order differential equations, Bollettino U.M.I 7-B (1993), 775–786. (1993) MR1255647
- On the oscillation of a class of linear homogeneous third order differential equations, To appear in Archivum Mathematicum. MR1679638
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