Periodic solutions for some delay differential equations appearing in models of power systems
Volume 86 / 2005
Annales Polonici Mathematici 86 (2005), 153-164
MSC: 34C25, 34D40, 34K15.
DOI: 10.4064/ap86-2-5
Abstract
The authors use coincidence degree theory to establish some new results on the existence of $T$-periodic solutions for the delay differential equation $$ x' '(t)+a_{1}x'(t)+a_{2}(x^{n}(t))'+a_{3}x(t)+a_{4}x(t-\tau ) +a_{5}x^{n}(t)+a_{6}x^{n}(t-\tau ) =f(t), $$ which appears in a model of a power system. These results are of practical significance.
