Dichotomy and μ‐pseudo almost automorphic solutions for delayed partial functional differential equations in admissible spaces
Sign Up to like & getrecommendations! Published in 2020 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201800134
Abstract: We prove the existence and uniqueness of μ‐pseudo almost automorphic solution for a delayed non‐autonomous partial functional differential equation in the exponential dichotomic case, where the nonlinear operator F satisfies the φ‐Lipschitz condition and φ… read more here.
Keywords: functional differential; dichotomy pseudo; admissible spaces; partial functional ... See more keywords
The dynamic analysis on a class of stochastic impulsive equations with doubly weighted pseudo almost automorphic coefficients on time scales
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7657
Abstract: Devoting to exploring the translation invariance and convolution invariance of doubly weighted pseudo almost automorphic stochastic processes with impulses on time scales proposed in this paper. Based on these results, taking advantage of a new… read more here.
Keywords: time scales; doubly weighted; almost automorphic; pseudo almost ... See more keywords
Almost automorphic solutions for nonautonomous parabolic evolution equations
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DOI: 10.1007/s00233-019-10045-w
Abstract: In this work, we study the existence and uniqueness of almost automorphic solutions for semilinear nonautonomous parabolic evolution equations with inhomogeneous boundary conditions using the exponential dichotomy. We assume that the homogeneous problem satisfies the… read more here.
Keywords: automorphic solutions; parabolic evolution; evolution equations; nonautonomous parabolic ... See more keywords
Pseudo Almost Automorphic Solutions for Multidirectional Associative Memory Neural Network with Mixed Delays
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DOI: 10.1007/s11063-018-9889-2
Abstract: In the paper, under some sufficient conditions, the existence and the global exponential stability of a pseudo almost automorphic solution to multidirectional associative memory (MAM) neural network with time-varying coefficients and mixed delays is obtained… read more here.
Keywords: mixed delays; associative memory; almost automorphic; pseudo almost ... See more keywords
On the differential equations of recurrent neural networks
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2020.1820493
Abstract: In this paper, a recurrent neural network with mixed delays which plays an important role is considered. We are concerned with the existence, uniqueness and global exponential stability of the doubly measure pseudo almost automorphic… read more here.
Keywords: almost automorphic; pseudo almost; differential equations; recurrent neural ... See more keywords
Compact almost automorphic solutions for some nonlinear dissipative differential equations in Banach spaces
Sign Up to like & getrecommendations! Published in 2018 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2017.1423328
Abstract: ABSTRACT The aim of this work is to prove the existence and uniqueness of compact almost automorphic solutions for some dissipative differential equations in Banach spaces when the input function is only almost automorphic in… read more here.
Keywords: automorphic solutions; dissipative differential; almost automorphic; differential equations ... See more keywords
Globally Asymptotic Almost Automorphic Synchronization of Clifford-Valued RNNs With Delays
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DOI: 10.1109/access.2019.2912838
Abstract: In this paper, we consider a class of Clifford-valued recurrent neural networks (RNNs) with discrete and infinitely distributed delays. In order to overcome the non-commutativity of the multiplication of Clifford numbers, we first transform the… read more here.
Keywords: clifford; almost automorphic; valued rnns; globally asymptotic ... See more keywords
Exponential convergence in the mean-square sense of nonlocal stochastic almost automorphic genetic regulatory lattice networks
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DOI: 10.1177/01423312231163926
Abstract: This paper first establishes the lattice model for nonlocal stochastic genetic regulatory networks with reaction diffusions by employing a mix of the finite difference and Mittag–Leffler time Euler difference techniques. Second, the existence of a… read more here.
Keywords: nonlocal stochastic; mean square; genetic regulatory; exponential convergence ... See more keywords
Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations
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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