Nonlinear perturbations of systems of partial differential equations with constant coefficients

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. ©2000 Southwest Texas State University and University of North Texas.

Año de publicación:

2000

Keywords:

• Nonlinear differential equations
• Fixed point theorem
• Right inverse

Fuente:

scopus