On the delay differential equation y'(x) = ay(τ(x)) + by(x)
Annales Polonici Mathematici, Tome 71 (1999) no. 2, pp. 161-169

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The paper discusses the asymptotic properties of solutions of the scalar functional differential equation $y'(x) = ay(τ(x)) + by(x), x ∈ [x_0,∞]$. Asymptotic formulas are given in terms of solutions of the appropriate scalar functional nondifferential equation.
DOI : 10.4064/ap-71-2-161-169
Keywords: functional differential equation, functional (nondifferential) equation, asymptotic behaviour

Jan Čermák 1

1
@article{10_4064_ap_71_2_161_169,
     author = {Jan \v{C}erm\'ak},
     title = {On the delay differential equation y'(x) = ay(\ensuremath{\tau}(x)) + by(x)},
     journal = {Annales Polonici Mathematici},
     pages = {161--169},
     publisher = {mathdoc},
     volume = {71},
     number = {2},
     year = {1999},
     doi = {10.4064/ap-71-2-161-169},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-161-169/}
}
TY  - JOUR
AU  - Jan Čermák
TI  - On the delay differential equation y'(x) = ay(τ(x)) + by(x)
JO  - Annales Polonici Mathematici
PY  - 1999
SP  - 161
EP  - 169
VL  - 71
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-161-169/
DO  - 10.4064/ap-71-2-161-169
LA  - en
ID  - 10_4064_ap_71_2_161_169
ER  - 
%0 Journal Article
%A Jan Čermák
%T On the delay differential equation y'(x) = ay(τ(x)) + by(x)
%J Annales Polonici Mathematici
%D 1999
%P 161-169
%V 71
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-161-169/
%R 10.4064/ap-71-2-161-169
%G en
%F 10_4064_ap_71_2_161_169
Jan Čermák. On the delay differential equation y'(x) = ay(τ(x)) + by(x). Annales Polonici Mathematici, Tome 71 (1999) no. 2, pp. 161-169. doi: 10.4064/ap-71-2-161-169

Cité par Sources :