%0 Journal Article
%T A Note on the Existence of Periodic Solutions of Second Order Non-Linear Differential Equations
%J American Journal of Mathematics and Statistics
%@ 2162-8475
%D 2012
%I 
%R 10.5923/j.ajms.20120202.04
%X Bahman Mehri, using Leray ¨C Schauder fixed point continuation method, established the existence of periodic solutions to equations of the form,x// +( k+h(x)) x/ + f(t, x) = p(t),where h is a continuous function, f, p are continuous functions in their respective arguments and periodic with respect to t of period ¦Ø and k is a constant.The aim of this research is to extend this result to a wider class of equations of the form, x// +( k+h(x)) x/ + F(t, x, x/) = p(t),where F is continuous in t,x and x/; and periodic with respect to t of period ¦Ø and k is a constant, using Leray-Schauder fixed point continuation method.
%K Nonlinear Equation
%K Sublinear Equation
%K Periodic Solutions
%K Fixed Points
%K Leray ¨C Schauder
%K Continuation method
%K Boundedness of Solutions and Continuous Functions
%U http://article.sapub.org/10.5923.j.ajms.20120202.04.html