Existence and uniqueness of periodic solutions for a kind of Lienard equation with two deviating arguments
Abstract
In this paper, a kind of Lienard equation with two deviating arguments of the formx''(t)+f(x(t))x'(t)+g1(t,x(t[tau]1(t)))+g2(t,x(t[tau]2(t)))=p(t)is considered. We derive some new sufficient conditions for checking uniqueness of Tperiodic solutions of this equation. By using coincidence degree theory, we also establish some new results on the existence and uniqueness of Tperiodic solutions for this equation, which are new and complement previously known results.
 Publication:

Journal of Computational and Applied Mathematics
 Pub Date:
 September 2007
 Bibcode:
 2007JCoAM.206.1127Z
 Keywords:

 Lienard equation;
 Deviating argument;
 Periodic solution;
 Existence;
 Uniqueness;
 Coincidence degree