C. J. Vanegas
Abstract:
In this article, we show the existence of solutions to
boundary-value problems, consisting of nonlinear systems of
partial differential equations with constant coefficients. For
this purpose, we use the right inverse of an associated operator
and a fix point argument. As illustrations, we apply this method
to Helmholtz equations and to second order systems of elliptic
equations.
Submitted April 6, 1999. Published January 8, 2000.
Math Subject Classifications: 35F30, 35G30, 35E20.
Key Words: Right inverse, nonlinear differential equations,
fixed point theorem.
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