EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES

DOI10.11948/2018.1033zbMath1462.34110OpenAlexW2887184190MaRDI QIDQ5148010

Chang-Jin Xu, Pei-Luan Li, Xian Hua Tang

Publication date: 29 January 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2018.1033

zbMATH Keywords

exponential stabilitytime-varying delayshunting inhibitory cellular neural networksalmost automorphic solutionleakage term

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stability theory of functional-differential equations (34K20) Applications of operator theory to differential and integral equations (47N20) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Dynamic equations on time scales or measure chains (34N05) Functional-differential equations on time scales or measure chains (34K42)

Related Items (4)

Input-to-state stability analysis for memristive BAM neural networks with variable time delays ⋮ Existence and stability of a periodic solution of a general difference equation with applications to neural networks with a delay in the leakage terms ⋮ Pseudo compact almost automorphic solutions for a family of delayed population model of Nicholson type ⋮ Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales

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