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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.issued7/3/2020
dc.identifierdoi: 10.3390/math8071082
dc.identifier.citationMathematics 8 (7): 1082 (2020)
dc.identifier.urihttps://hdl.handle.net/20.500.12588/501
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 Poincarѐ-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.titleGlobal Stability of Integral Manifolds for Reaction–Diffusion Delayed Neural Networks of Cohen–Grossberg-Type under Variable Impulsive Perturbations
dc.date.updated2021-04-19T15:21:42Z


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