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