Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
| dc.contributor.author | Zhou, Qiyuan ( ) | |
| dc.contributor.author | Xiao, Bing ( ) | |
| dc.contributor.author | Yu, Yuehua ( ) | |
| dc.date.accessioned | 2021-07-14T19:12:55Z | |
| dc.date.available | 2021-07-14T19:12:55Z | |
| dc.date.issued | 2006-02-07 | |
| dc.identifier.citation | Zhou, Q., Xiao, B., & Yu, Y. (2006). Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays. Electronic Journal of Differential Equations, 2006(19), pp. 1-10. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/13892 | |
| dc.description.abstract | In this paper, we consider shunting inhibitory cellular neural networks (SICNNs) with continuously distributed delays. Sufficient conditions for the existence and local exponential stability of almost periodic solutions are established using a fixed point theorem, Lyapunov functional method, and differential inequality techniques. We illustrate our results with an example for which our conditions are satisfied, but not the conditions in [4,6,8]. | en_US |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Shunting inhibitory cellular neural networks | en_US |
| dc.subject | Almost periodic solution | en_US |
| dc.subject | Exponential stability | en_US |
| dc.subject | Continuously distributed delays | en_US |
| dc.title | Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously 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. | |
| dc.description.department | Mathematics |
