Mittag-Leffler stability and attractiveness of pseudo almost periodic solutions for delayed cellular neural networks

Eidinejad, Zahra (author), Saadati, Reza (author), Repovš, Dušan (author)

We consider a class of nonautonomous cellular neural networks (CNNs) with mixed delays, to study the solutions of these systems which are type pseudo almost periodicity. Using general measure theory and the Mittag-Leffler function, we obtain the existence of unique solutions for cellular neural equations and investigate the Mittag-Leffler stability and attractiveness of pseudo almost periodic functions. We also present numerical examples to illustrate the application of our results.

• Language: English
• Keywords: mathematics
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2022
• Number of pages: 15 str.
• Numbering: Vol. 2022, art. 3186963
• PID: 20.500.12556/RUL-142149
• UDC: 517.9
• ISSN on article: 2314-8896
• DOI: 10.1155/2022/3186963
• COBISS.SI-ID: 126363651
• Publication date in RUL: 21.10.2022

Record is a part of a journal

• Title: Journal of function spaces
• Shortened title: J. funct. spaces
• Publisher: Hindawi
• ISSN: 2314-8896
• COBISS.SI-ID: 17110617

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.