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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap86-2-5,
author = {Bingwen Liu and Lihong Huang},
title = {Periodic solutions for some delay differential equations appearing in models of power systems},
journal = {Annales Polonici Mathematici},
volume = {85},
year = {2005},
pages = {153-164},
zbl = {1084.34062},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap86-2-5}
}
Bingwen Liu; Lihong Huang. Periodic solutions for some delay differential equations appearing in models of power systems. Annales Polonici Mathematici, Tome 85 (2005) pp. 153-164. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap86-2-5/