# 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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