Voros, Imre2021-05-032021-05-032004-09-08Voros, I. (2004). Stability properties of non-negative solutions of semilinear symmetric cooperative systems. <i>Electronic Journal of Differential Equations, 2004</i>(105), pp. 1-6.1072-6691https://hdl.handle.net/10877/13477We 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).Text6 pages1 file (.pdf)enAttribution 4.0 InternationalCooperative semilinear systemPositive stationary solutionsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.