Stability Properties of Positive Solutions to Partial Differential Equations with Delay
| dc.contributor.author | Farkas, Gyula | |
| dc.contributor.author | Simon, Peter L | |
| dc.date.accessioned | 2020-02-21T15:40:26Z | |
| dc.date.available | 2020-02-21T15:40:26Z | |
| dc.date.issued | 2001-10-08 | |
| dc.description.abstract | We investigate the stability of positive stationary solutions of semilinear initial-boundary value problems with delay and convex or concave nonlinearity. If the nonlinearity is monotone, then in the convex case ƒ(0) ≤ 0 implies instability and in the concave case ƒ(0) ≥ 0 implies stability. Special cases are shown where the monotonicity assumption can be weakened or omitted. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Farkas, G., & Simon, P. L. (2001). Stability properties of positive solutions to partial differential equations with delay. <i>Electronic Journal of Differential Equations, 2001</i>(64), pp. 1-8. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/9329 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Semilinear equations with delay | |
| dc.subject | Stability of stationary solutions | |
| dc.subject | Convex nonlinearity | |
| dc.subject | concave nonlinearity | |
| dc.title | Stability Properties of Positive Solutions to Partial Differential Equations with Delay | en_US |
| dc.type | Article |