논문KCI 등재
Existence and Exponential Stability of Almost Periodic Solutions for Cellular Neural Networks with Continuously Distributed Delays
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Abstract
In this paper cellular neural networks with continuously distributed delays are considered. Sufficient conditions for the existence and exponential stability of the almost periodic solutions are established by using fixed point theorem, Lyapunov functional method and differential inequality technique. The results of this paper are new and they complement previously known results.
참고문헌 (16)
- "\it Nonnegative matrices in the mathematical sciences}" (1979), Academic Press
- "it Global exponential stability and periodic solutions of delayed cellular neural networks", pp.38 136~ (2000)
- "it Existence and attractivity of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients}", pp.125~ (2003)
- "it Existence and attractivity of almost periodic solutions of Hopfield neural networks}", pp.505~ (2001)
- "it Existence and stability of periodic solutionsfor Hopfield neural network equations with periodic input}", pp.471~ (2002)
- "Lecture Notes in Mathematics", 377 (1974), Springer-Verlag
- "it Periodic solutions in an inhibitory two-neuron network", pp.217~ (2003)
- "it Stability analysis of a delayed Hopfield neural network", pp.7~ (2003)
- "\it Introduction to functional-differential equations}" (1993), 99. Springer-Verlag
- "it Almost periodic solutions of inhibitory cellular neural networks with with time-vary delays", pp.222~ (2003)
- "it Global exponential stability and periodic solutions of recurrent cellular neural networks with delays}", pp.393~ (2002)
- "\it The stability of dynamical systems} Regional Conference Series in Applied Mathematics. SIAM" (1976)
- "\it Existence and global exponential stability of almost periodic solutions of BAM neural networks with continuously distributed delays}", pp.305~ (2003)
- "\it Existence and global exponential stability of periodic solutions of cellular neural networks with time-vary delays}", pp.247~ (2004)
- "it Existence and global exponential stability of periodic solutions of cellular neural networks with time-vary delays", pp.247~ (2004)
관련 논문AI추천
Existence and Exponential Stability of Almost PeriodicSolutions for Cellular Neural Networks without Global Lipschitz ConditionsBingwen Liu대한수학회 · 대한수학회지2007 · 제44권 제4호Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with distributed delays and large impulsesChunsheng Li, Lihong Huang, Yaonan Wang, Yi Zuo대한수학회 · 대한수학회지2009 · 제46권 제5호On Stepanov weighted pseudo almost automorphic solutions of neural networks이현목강원경기수학회 · 한국수학논문집2022 · 제30권 제3호Stability on Positive Almost Periodic High-Order Hopfield Neural NetworksFeng Liu한국수학교육학회 · 이론수학과 교직수학2024 · 제31권 제4호NEW CONDITIONS ON EXISTENCE AND GLOBAL ASYMPTOTIC STABILITY OF PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH TIME-VARYING DELAYSZhengqiu Zhang, Zheng Zhou대한수학회 · 대한수학회지2011 · 제48권 제2호EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF A PERIODIC SOLUTION TO DISCRETE-TIME COHEN-GROSSBERG BAM NEURAL TWORKSLiping Wang, Zhengqiu Zhang대한수학회 · 대한수학회지2011 · 제48권 제4호
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