We discuss the asymptotic behaviour of all solutions of the functional differential equation \[y^{\prime }(x)=\sum _{i=1}^ma_i(x)y(\tau _i(x))+b(x)y(x)\,,\] where $b(x)<0$. The asymptotic bounds are given in terms of a solution of the functional nondifferential equation \[\sum _{i=1}^m|a_i(x)|\omega (\tau _i(x))+b(x)\omega (x)=0.\]
@article{107708,
author = {Jan \v Cerm\'ak},
title = {Asymptotic estimation for functional differential equations with several delays},
journal = {Archivum Mathematicum},
volume = {035},
year = {1999},
pages = {337-345},
zbl = {1048.34126},
mrnumber = {1744521},
language = {en},
url = {http://dml.mathdoc.fr/item/107708}
}
Čermák, Jan. Asymptotic estimation for functional differential equations with several delays. Archivum Mathematicum, Tome 035 (1999) pp. 337-345. http://gdmltest.u-ga.fr/item/107708/
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