Electron. J. Diff. Eqns., Vol. 2008(2008), No. 90, pp. 1-5.

A Neumann boundary-value problem on an unbounded interval

Pablo Amster, Alberto Deboli

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

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Pablo Amster
Departamento de Matemática, Universidad de Buenos Aires
Ciudad Universitaria, Pabellón I (1428), Buenos Aires, Argentina
email: pamster@dm.uba.ar
Alberto Deboli
Departamento de Matemática, Universidad de Buenos Aires
Ciudad Universitaria, Pabellón I (1428), Buenos Aires, Argentina
email: adeboli@yahoo.com.ar

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