Global stability of traveling waves for delay reaction-diffusion systems without quasi-monotonicity
| dc.contributor.author | Su, Si | |
| dc.contributor.author | Zhang, Guo-Bao | |
| dc.date.accessioned | 2021-09-28T21:29:55Z | |
| dc.date.available | 2021-09-28T21:29:55Z | |
| dc.date.issued | 2020-05-19 | |
| dc.description.abstract | This article concerns the global stability of traveling waves of a reaction-diffusion system with delay and without quasi-monotonicity. We prove that the traveling waves (monotone or non-monotone) are exponentially stable in L∞ (ℝ) with the exponential convergence rate t-1/2 e-μt for some constant μ > 0. We use the Fourier transform and the weighted energy method with a suitably weight function. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Su, S., & Zhang, G. B. (2020). Global stability of traveling waves for delay reaction-diffusion systems without quasi-monotonicity. <i>Electronic Journal of Differential Equations, 2020</i>(46), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14553 | |
| dc.language.iso | en | |
| dc.publisher | 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, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Delay reaction-diffusion system | |
| dc.subject | Traveling waves | |
| dc.subject | Global stability | |
| dc.subject | Fourier transform | |
| dc.subject | Weighted energy method | |
| dc.title | Global stability of traveling waves for delay reaction-diffusion systems without quasi-monotonicity | |
| dc.type | Article |