Global Stability of Integral Manifolds for Reaction–Diffusion Delayed Neural Networks of Cohen–Grossberg-Type under Variable Impulsive Perturbations

Simple item page
dc.contributor.authorStamov, Gani
dc.contributor.authorStamova, Ivanka
dc.contributor.authorVenkov, George
dc.contributor.authorStamov, Trayan
dc.contributor.authorSpirova, Cvetelina
dc.date.accessioned2021-04-19T15:21:41Z
dc.date.available2021-04-19T15:21:41Z
dc.date.issued2020-07-03
dc.date.updated2021-04-19T15:21:42Z
dc.description.abstractThe present paper introduces the concept of integral manifolds for a class of delayed impulsive neural networks of Cohen–Grossberg-type with reaction–diffusion terms. We establish new existence and boundedness results for general types of integral manifolds with respect to the system under consideration. Based on the Lyapunov functions technique and Poincare`-type inequality some new global stability criteria are also proposed in our research. In addition, we consider the case when the impulsive jumps are not realized at fixed instants. Instead, we investigate a system under variable impulsive perturbations. Finally, examples are given to demonstrate the efficiency and applicability of the obtained results.
dc.description.departmentMathematics
dc.identifierdoi: 10.3390/math8071082
dc.identifier.citationMathematics 8 (7): 1082 (2020)
dc.identifier.urihttps://hdl.handle.net/20.500.12588/501
dc.rightsAttribution 4.0 United States
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectintegral manifolds
dc.subjectCohen–Grossberg-type neural networks
dc.subjectdelays
dc.subjectreaction–diffusion terms
dc.subjectvariable impulsive perturbations
dc.subjectboundedness
dc.subjectstability
dc.titleGlobal Stability of Integral Manifolds for Reaction–Diffusion Delayed Neural Networks of Cohen–Grossberg-Type under Variable Impulsive Perturbations
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
mathematics-08-01082.pdf
Size:
281.74 KB
Format:
Adobe Portable Document Format
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
0 B
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

College of Sciences Faculty Research