LAUSR

Completeness and Stability of the Class of Injective S-Acts

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1 Published in 2020 at "Algebra and Logic"

DOI: 10.1007/s10469-020-09577-w

Abstract: We deal with questions concerning the completeness and stability of a class of injective acts and a class of weakly injective acts over a monoid S. The concepts of an injective S-act and of a… read more here.

Keywords: class; stability class; injective acts; class injective ... See more keywords

Hyers–Ulam Stability of a Class Second Differential Equation $$y''(x)+p(x)y'(x)+q(x)y(x)=F(y(x))$$y′′(x)+p(x)y′(x)+q(x)y(x)=F(y(x))

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0 Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"

DOI: 10.1007/s40840-017-0454-3

Abstract: In this paper, we study the Hyers–Ulam–Rassias stability and Hyers–Ulam stability for a class second differential equation $$\begin{aligned} y''(x)+p(x)y'(x)+q(x)y(x)=F(y(x)) \end{aligned}$$y′′(x)+p(x)y′(x)+q(x)y(x)=F(y(x))by a generalized fixed point theorem. Moreover, we show that the differential equation $$\begin{aligned} y'(x)=F(x,y(x)) \end{aligned}$$y′(x)=F(x,y(x))has… read more here.

Keywords: differential equation; stability class; hyers ulam; stability ... See more keywords

Global asymptotic stability of a class of generalized BAM neural networks with reaction-diffusion terms and mixed time delays

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1 Published in 2018 at "Neurocomputing"

DOI: 10.1016/j.neucom.2018.09.016

Abstract: Abstract In this paper, a novel linear matrix inequality (LMI)-based sufficient condition, which guarantees the existence and global asymptotic stability of a class of generalized bidirectional associative memory (BAM) neural networks with reaction-diffusion terms and… read more here.

Keywords: mixed time; stability class; asymptotic stability; global asymptotic ... See more keywords

Stability of a class of neutral stochastic functional differential equations with Markovian switching

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0 Published in 2018 at "Iet Control Theory and Applications"

DOI: 10.1049/iet-cta.2017.0806

Abstract: This study investigates the stability of a class of neutral stochastic functional differential equations with Markovian switching. Some novel stability criteria are first established, including boundedness, pth moment exponential stability and almost sure exponential stability,… read more here.

Keywords: class neutral; stability class; neutral stochastic; stochastic functional ... See more keywords

Stability of a Class of Multiagent Tracking Systems With Unstable Subsystems

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1 Published in 2017 at "IEEE Transactions on Cybernetics"

DOI: 10.1109/tcyb.2016.2581830

Abstract: In this paper, we predeploy a large number of smart agents to monitor an area of interest. This area could be divided into many Voronoi cells by using the knowledge of Voronoi diagram and every… read more here.

Keywords: tracking strategy; stability class; topology; class multiagent ... See more keywords