Square-Mean Pseudo Almost Periodic Solutions for Quaternion-Valued Stochastic Neural Networks with Time-Varying Delays
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Problems in Engineering"
DOI: 10.1155/2021/6679326
Abstract: In this paper, we are concerned with a class of quaternion-valued stochastic neural networks with time-varying delays. Firstly, we cannot explicitly decompose the quaternion-valued stochastic systems into equivalent real-valued stochastic systems; by using the Banach… read more here.
Keywords: stochastic neural; neural networks; quaternion valued; valued stochastic ... See more keywords
Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-02574-4
Abstract: In this paper, we introduce the concept of square-mean piecewise almost automorphic function. By using the theory of semigroups of operators and the contraction mapping principle, the existence of square-mean piecewise almost automorphic mild solutions… read more here.
Keywords: piecewise almost; mean piecewise; almost automorphic; automorphic mild ... See more keywords
Square-Mean S-Asymptotically (ω,c)-Periodic Solutions to Neutral Stochastic Impulsive Equations
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DOI: 10.3390/sym17111938
Abstract: This paper investigates the existence of square-mean S-asymptotically (ω,c)-periodic solutions for a class of neutral impulsive stochastic differential equations driven by fractional Brownian motion, addressing the challenge of modeling long-range dependencies, delayed feedback, and abrupt… read more here.
Keywords: solutions neutral; mean asymptotically; square mean; periodic solutions ... See more keywords