%0 Journal Article
%T Periodic Solution of a Certain Non-Linear Third Order Differential Equation
%J Scientia Iranica
%I Sharif University of Technology
%Z 1026-3098
%A Mehri, B.
%D 2004
%\ 07/01/2004
%V 11
%N 3
%P -
%! Periodic Solution of a Certain Non-Linear Third Order Differential Equation
%R
%X In this paper, the third order differential equation x'''+\psi(x')x''+(k^2+\phi(x))x'+f(t,x)=e(t) is considered. Under certain conditions on the functions appearing in the differential equation, the existence of periodic solutions is proved. Similar problems have been treated by authors in [4,6,7]. However, the method employed here is used by Reissig [1] and the results obtained are, in fact, a generalization of those in [1-3]. The conditions imposed on the nonlinear terms do not require the ultimate boundedness of all solutions.
%U