Existence of periodic solutions for a semilinear ordinary differential equation

Dancer [3] found a necessary and sufficient condition for the existence of periodic solutions to the equation $$ ddot x +g_1(dot x) + g_0(x) = f(t),.$$ His condition is based on a functional that depends on the solution to the above equation with $g_0=0$. However, that solution is not always explici...

Full description

Bibliographic Details
Main Author: Petr Girg
Format: Article
Language:English
Published: Texas State University 1998-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/1998/31/abstr.html