Uniqueness of traveling wave solutions for non-monotone cellular neural networks with distributed delays
| dc.contributor.author | Zhou, Hui-Ling ( ) | |
| dc.contributor.author | Yu, Zhixian (  0000-0002-2249-2929 ) | |
| dc.date.accessioned | 2022-04-11T13:15:48Z | |
| dc.date.available | 2022-04-11T13:15:48Z | |
| dc.date.issued | 2017-04-11 | |
| dc.identifier.citation | Zhou, H. L., & Yu, Z. (2017). Uniqueness of traveling wave solutions for non-monotone cellular neural networks with distributed delays. Electronic Journal of Differential Equations, 2017(102), pp. 1-13. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/15634 | |
| dc.description.abstract | In this article, we study the uniqueness of traveling wave solutions for non-monotone cellular neural networks with distributed delays. First we establish a priori asymptotic behavior of the traveling wave solutions at infinity. Then, based on Ikehara's theorem, we prove the uniqueness of the solution ψ(n - ct) with c ≤ c*, where c* < 0 is the critical wave speed. | en_US |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Cellular neural network | en_US |
| dc.subject | Uniqueness | en_US |
| dc.subject | Non-monotone | en_US |
| dc.subject | Asymptotic behavior | en_US |
| dc.subject | Distributed delays | en_US |
| dc.title | Uniqueness of traveling wave solutions for non-monotone cellular neural networks with distributed delays | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. |
