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 | |
| dc.date.accessioned | 2022-04-11T13:15:48Z | |
| dc.date.available | 2022-04-11T13:15:48Z | |
| dc.date.issued | 2017-04-11 | |
| 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<sub>*</sub>, where c<sub>*</sub> < 0 is the critical wave speed. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhou, H. L., & Yu, Z. (2017). Uniqueness of traveling wave solutions for non-monotone cellular neural networks with distributed delays. <i>Electronic Journal of Differential Equations, 2017</i>(102), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15634 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Cellular neural network | |
| dc.subject | Uniqueness | |
| dc.subject | Non-monotone | |
| dc.subject | Asymptotic behavior | |
| dc.subject | Distributed delays | |
| dc.title | Uniqueness of traveling wave solutions for non-monotone cellular neural networks with distributed delays | en_US |
| dc.type | Article |