Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays

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dc.contributor.authorZhou, Qiyuan
dc.contributor.authorXiao, Bing
dc.contributor.authorYu, Yuehua
dc.date.accessioned2021-07-14T19:12:55Z
dc.date.available2021-07-14T19:12:55Z
dc.date.issued2006-02-07
dc.description.abstractIn 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].
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhou, Q., Xiao, B., & Yu, Y. (2006). Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays. <i>Electronic Journal of Differential Equations, 2006</i>(19), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13892
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectShunting inhibitory cellular neural networks
dc.subjectAlmost periodic solution
dc.subjectExponential stability
dc.subjectContinuously distributed delays
dc.titleExistence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
dc.typeArticle

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