Periodic solutions for some delay differential equations appearing in models of power systems
Annales Polonici Mathematici (2005)
- Volume: 86, Issue: 2, page 153-164
- ISSN: 0066-2216
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topBingwen Liu, and Lihong Huang. "Periodic solutions for some delay differential equations appearing in models of power systems." Annales Polonici Mathematici 86.2 (2005): 153-164. <http://eudml.org/doc/280253>.
@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 -
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