Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments
Volume 89 / 2006
Annales Polonici Mathematici 89 (2006), 247-258
MSC: 34C25, 34D40.
DOI: 10.4064/ap89-3-2
Abstract
We use the coincidence degree to establish new results on the existence and uniqueness of $T$-periodic solutions for a kind of Duffing equation with two deviating arguments of the form $$ x''+Cx'(t) +g_{1}(t,x(t-\tau _{1}(t))) +g_{2}(t,x(t-\tau _{2}(t)))=p(t). $$