Periodic solutions for some delay differential equations appearing in models of power systems

@article{BingwenLiu2005,
abstract = { The authors use coincidence degree theory to establish some new results on the existence of T-periodic solutions for the delay differential equation x''(t) + a₁x'(t) + a₂(xⁿ(t))' + a₃x(t)+ a₄x(t-τ) + a₅xⁿ(t) + a₆xⁿ(t-τ) = f(t), which appears in a model of a power system. These results are of practical significance. },
author = {Bingwen Liu, Lihong Huang},
journal = {Annales Polonici Mathematici},
keywords = {delay differential equation; periodic solution; existence; coincidence degree},
language = {eng},
number = {2},
pages = {153-164},
title = {Periodic solutions for some delay differential equations appearing in models of power systems},
url = {http://eudml.org/doc/280253},
volume = {86},
year = {2005},
}

TY - JOUR
AU - Bingwen Liu
AU - Lihong Huang
TI - Periodic solutions for some delay differential equations appearing in models of power systems
JO - Annales Polonici Mathematici
PY - 2005
VL - 86
IS - 2
SP - 153
EP - 164
AB - The authors use coincidence degree theory to establish some new results on the existence of T-periodic solutions for the delay differential equation x''(t) + a₁x'(t) + a₂(xⁿ(t))' + a₃x(t)+ a₄x(t-τ) + a₅xⁿ(t) + a₆xⁿ(t-τ) = f(t), which appears in a model of a power system. These results are of practical significance.
LA - eng
KW - delay differential equation; periodic solution; existence; coincidence degree
UR - http://eudml.org/doc/280253
ER -