Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 160, pp. 1-9.

Title: Resonant problem for some second-order differential equation
       on the half-line

Author: Katarzyna Szymanska (Technical Univ. of Lodz, Poland)

Abstract: 
 We prove the existence of at least one solution to a nonlinear
 second-order differential equation on the half-line,
 with the boundary conditions $x'(0)=0$ and with the first derivative
 vanishing at infinity. Our main tool is the multi-valued version
 of the Miranda Theorem.
  
Submitted June 20, 2007. Published November 21, 2007.
Math Subject Classifications: 34B15, 34B40.
Key Words: Asymptotic boundary value problem; resonant problem;
           nonlinear boundary value problem; set-valued maps.