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Existence and exponential stability of anti-periodic solution for fuzzy BAM neural networks with inertial terms and time-varying delays. (English) Zbl 1452.34079

The authors investigate the existence and exponential stability of antiperiodic solutions for fuzzy BAM neural networks with inertial terms and time-varying delays. At the beginning, the authors obtain some sufficient conditions for the existence of antiperiodic solutions to the system using a new extension theorem for the theory of degree of coincidence. Then they obtain some sufficient conditions guaranteeing the global exponential stability of antiperiodic solutions of the system by constructing an appropriate Lyapunov function. Finally, two numerical examples are given to show the effectiveness of the results obtained.

MSC:

34K36 Fuzzy functional-differential equations
34K13 Periodic solutions to functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
47N20 Applications of operator theory to differential and integral equations
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