Stability properties of non-negative solutions of semilinear symmetric cooperative systems
Date
2004-09-08
Authors
Voros, Imre
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We investigate the stability of non-negative stationary solutions of symmetric cooperative semilinear systems with some convex (resp. concave) nonlinearity condition, namely all second-order partial derivatives of each coordinate being non-negative (resp. non-positive). In these cases, we will show following [8], extending its results, that this along with some sign condition on the non-linearity at the origin yields instability (resp. stability).
Description
Keywords
Cooperative semilinear system, Positive stationary solutions
Citation
Voros, I. (2004). Stability properties of non-negative solutions of semilinear symmetric cooperative systems. <i>Electronic Journal of Differential Equations, 2004</i>(105), pp. 1-6.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.