Electronic Journal of Differential Equations,
Conference 06 (2001), pp. 13-21.

Title: Nonlinearities in a second order ODE.

Authors: Pablo Amster (Univ. de Buenos Aires, Buenos Aires, Argentina)
 
Abstract: 
  In this paper we study the semilinear second order ordinary differential
  equation  
  $$u''+r(t)u' + g(t,u) = f(t)\,. $$
  Under a growth condition on $g$, we prove the existence and 
  uniqueness for the Dirichlet problem 
  and establish conditions for the existence of periodic solutions.

Published January 8, 2001.
Math Subject Classifications: 34G20.
Key Words: Second order ODE; Dirichlet and Periodic Problems.