Asymptotic behavior of solutions of neutral nonlinear differential equations
Archivum Mathematicum (2002)
- Volume: 038, Issue: 4, page 319-325
- ISSN: 0044-8753
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topDžurina, Jozef. "Asymptotic behavior of solutions of neutral nonlinear differential equations." Archivum Mathematicum 038.4 (2002): 319-325. <http://eudml.org/doc/248933>.
@article{Džurina2002,
abstract = {In this paper we study asymptotic behavior of solutions of second order neutral functional differential equation of the form \[ \Big (x(t)+px(t-\tau )\Big )^\{\prime \prime \}+f(t,x(t))=0\,. \]
We present conditions under which all nonoscillatory solutions are asymptotic to $at+b$ as $t\rightarrow \infty $, with $a,b\in R$. The obtained results extend those that are known for equation \[ u^\{\prime \prime \}+f(t,u)=0\,. \]},
author = {Džurina, Jozef},
journal = {Archivum Mathematicum},
keywords = {neutral equation; asymptotic behavior; neutral equation; asymptotic behavior},
language = {eng},
number = {4},
pages = {319-325},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Asymptotic behavior of solutions of neutral nonlinear differential equations},
url = {http://eudml.org/doc/248933},
volume = {038},
year = {2002},
}
TY - JOUR
AU - Džurina, Jozef
TI - Asymptotic behavior of solutions of neutral nonlinear differential equations
JO - Archivum Mathematicum
PY - 2002
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 038
IS - 4
SP - 319
EP - 325
AB - In this paper we study asymptotic behavior of solutions of second order neutral functional differential equation of the form \[ \Big (x(t)+px(t-\tau )\Big )^{\prime \prime }+f(t,x(t))=0\,. \]
We present conditions under which all nonoscillatory solutions are asymptotic to $at+b$ as $t\rightarrow \infty $, with $a,b\in R$. The obtained results extend those that are known for equation \[ u^{\prime \prime }+f(t,u)=0\,. \]
LA - eng
KW - neutral equation; asymptotic behavior; neutral equation; asymptotic behavior
UR - http://eudml.org/doc/248933
ER -
References
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