Stability properties of non-negative solutions of semilinear symmetric cooperative systems
| dc.contributor.author | Voros, Imre | |
| dc.date.accessioned | 2021-05-03T17:17:10Z | |
| dc.date.available | 2021-05-03T17:17:10Z | |
| dc.date.issued | 2004-09-08 | |
| dc.description.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). | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 6 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13477 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Cooperative semilinear system | |
| dc.subject | Positive stationary solutions | |
| dc.title | Stability properties of non-negative solutions of semilinear symmetric cooperative systems | |
| dc.type | Article |