Nonlinear Perturbations of Systems of Partial Differential Equations with Constant Coefficients
Date
2000-01-08
Authors
Vanegas, Carmen J.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Right inverse, Nonlinear differential equations, Fixed point theorem
Citation
Vanegas, C. J. (2000). Nonlinear perturbations of systems of partial differential equations with constant coefficients. <i>Electronic Journal of Differential Equations, 2000</i>(05), pp. 1-10.
Rights
Attribution 4.0 International