Dichotomy and μ‐pseudo almost automorphic solutions for delayed partial functional differential equations in admissible spaces
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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
Pseudo almost periodic solutions of infinite class under the light of measure theory and applications
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DOI: 10.1002/mma.7051
Abstract: The aim of this work is to present a new approach to study weighted pseudo almost periodic functions with infinite delay using the measure theory. We study the existence and uniqueness of (μ, ν)‐pseudo almost periodic… read more here.
Keywords: periodic solutions; solutions infinite; infinite class; almost periodic ... See more keywords
The dynamic analysis on a class of stochastic impulsive equations with doubly weighted pseudo almost automorphic coefficients on time scales
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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
Pseudo-Almost Periodic Solution on Time-Space Scales for a Novel Class of Competitive Neutral-Type Neural Networks with Mixed Time-Varying Delays and Leakage Delays
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DOI: 10.1007/s11063-017-9620-8
Abstract: A competitive neural network model was proposed to describe the dynamics of cortical maps in which, there exist two memories: long-term and short-term. In this paper, we investigate the existence and the exponential stability of… read more here.
Keywords: periodic solution; time space; time; almost periodic ... See more keywords
Exponential Stability of Pseudo Almost Periodic Solutions for Fuzzy Cellular Neural Networks with Time-Varying Delays
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DOI: 10.1007/s11063-018-9857-x
Abstract: This paper considers the exponential stability of pseudo almost periodic solutions for a class of fuzzy cellular neural networks with time-varying delays. Based on differential inequality techniques and by constructing suitable Lyapunov function, we achieve… read more here.
Keywords: stability pseudo; periodic solutions; almost periodic; pseudo almost ... 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
Pseudo almost periodic solutions for neutral type high-order Hopfield neural networks with mixed time-varying delays and leakage delays on time scales
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Machine Learning and Cybernetics"
DOI: 10.1007/s13042-016-0570-7
Abstract: We propose a class of neutral type high-order Hopfield neural networks with mixed time-varying delays and leakage delays on time scales. Applying the exponential dichotomy of linear dynamic equations on time scales, Banach’s fixed point… read more here.
Keywords: neural networks; time scales; neutral type; type high ... See more keywords
Pseudo almost periodic high-order cellular neural networks with complex deviating arguments
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DOI: 10.1007/s13042-017-0715-3
Abstract: In this paper, we propose and study the pseudo almost periodic high-order cellular neural networks with oscillating leakage coefficients and complex deviating arguments, which has not been studied in the existing literature. Applying the contraction… read more here.
Keywords: neural networks; almost periodic; high order; pseudo almost ... See more keywords
Piecewise weighted pseudo almost periodicity of impulsive integro-differential equations with fractional order $$1
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DOI: 10.1007/s43037-019-00004-6
Abstract: We give the existence theorem of piecewise weighted pseudo almost periodic mild solutions for impulsive integro-differential equations with fractional order $$1 read more here.
Keywords: impulsive integro; integro differential; piecewise weighted; pseudo almost ... See more keywords
On completeness of the space of weighted Stepanov-like pseudo almost automorphic (periodic) functions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.05.057
Abstract: Abstract In this paper, we prove the completeness of the space of weighted Stepanov-like pseudo almost automorphic (periodic) functions under weak conditions. That is, for every ρ ∈ U ∞ , the space of weighted… read more here.
Keywords: space; weighted stepanov; pseudo almost; space weighted ... See more keywords
On the differential equations of recurrent neural networks
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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