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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