Parhi, N., and Das, P.. "On the oscillation of a class of linear homogeneous third order differential equations." Archivum Mathematicum 034.4 (1998): 435-443. <http://eudml.org/doc/248215>.
@article{Parhi1998,
abstract = {In this paper we have considered completely the equation \[ y^\{\prime \prime \prime \}+ a(t)y^\{\prime \prime \}+ b(t)y^\prime + c(t)y=0\,, \qquad \mathrm \{(*)\}\]
where $a\in C^2([\sigma , \infty ), R)$, $b\in C^1([\sigma , \infty ),R)$, $c\in C([\sigma , \infty ), R)$ and $\sigma \in R$ such that $a(t)\le 0$, $b(t)\le 0$ and $c(t)\le 0$. It has been shown that the set of all oscillatory solutions of (*) forms a two-dimensional subspace of the solution space of (*) provided that (*) has an oscillatory solution. This answers a question raised by S. Ahmad and A. C. Lazer earlier.},
author = {Parhi, N., Das, P.},
journal = {Archivum Mathematicum},
keywords = {third order differential equations; oscillation; nonoscillation; asymptotic behaviour of solutions; third-order differential equations; oscillation; nonoscillation; asymptotic behaviour of solutions},
language = {eng},
number = {4},
pages = {435-443},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the oscillation of a class of linear homogeneous third order differential equations},
url = {http://eudml.org/doc/248215},
volume = {034},
year = {1998},
}
TY - JOUR
AU - Parhi, N.
AU - Das, P.
TI - On the oscillation of a class of linear homogeneous third order differential equations
JO - Archivum Mathematicum
PY - 1998
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 034
IS - 4
SP - 435
EP - 443
AB - In this paper we have considered completely the equation \[ y^{\prime \prime \prime }+ a(t)y^{\prime \prime }+ b(t)y^\prime + c(t)y=0\,, \qquad \mathrm {(*)}\]
where $a\in C^2([\sigma , \infty ), R)$, $b\in C^1([\sigma , \infty ),R)$, $c\in C([\sigma , \infty ), R)$ and $\sigma \in R$ such that $a(t)\le 0$, $b(t)\le 0$ and $c(t)\le 0$. It has been shown that the set of all oscillatory solutions of (*) forms a two-dimensional subspace of the solution space of (*) provided that (*) has an oscillatory solution. This answers a question raised by S. Ahmad and A. C. Lazer earlier.
LA - eng
KW - third order differential equations; oscillation; nonoscillation; asymptotic behaviour of solutions; third-order differential equations; oscillation; nonoscillation; asymptotic behaviour of solutions
UR - http://eudml.org/doc/248215
ER -
