Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 90, pp. 1-5.

Title: A Neumann boundary-value problem on an unbounded interval
  
Authors: Pablo Amster   (Univ. de Buenos Aires, Argentina)
         Alberto Deboli (Univ. de Buenos Aires, Argentina)
 
Abstract: 
 We study a Neumann boundary-value problem on the half line
 for a second order equation, in which the nonlinearity
 depends on the (unknown) Dirichlet boundary data of the
 solution. An existence result is obtained by an adapted version
 of the method of upper and lower solutions, together with a
 diagonal argument.
 
Submitted April 11, 2008. Published June 21, 2008.
Math Subject Classifications: 34B40, 34B15.
Key Words: Boundary-value problem on the half line;
           Neumann conditions; upper and lower solutions;
           diagonal argument