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.
Keywords:
functional differential equation, functional (nondifferential) equation, asymptotic behaviour
Affiliations des auteurs :
Jan Čermák 1
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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 -
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
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