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Stability of functional differential equations with infinite delays

Applied Mathematics-A Journal of Chinese Universities, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Zhiguo, Shen, Jianhua
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Retarded equations with infinite delays

1979
It is the purpose of these notes to describe the theory of Hale and Kato for functional differential equations based on a space of initial data which satisfy some very reasonable axioms. We also indicate some recent results of Naito showing how extensive the theory of linear systems can be developed in an abstract setting in particular, the ...
openaire   +1 more source

Optimal control of fractional neutral stochastic differential equations with deviated argument governed by Poisson jumps and infinite delay

Optimal control applications & methods, 2019
In this work, the optimal control for a class of fractional neutral stochastic differential equations with deviated arguments driven by infinite delay and Poisson jumps is studied in Hilbert space involving the Caputo fractional derivative.
N. Durga, Palanisamy Muthukumar
semanticscholar   +1 more source

Integrodifferential systems with infinitely many delays

Annali di Matematica Pura ed Applicata (1923 -), 1978
In this paper we consider the initial-value problems: (P1)X(t)=(AX)(t) for t>0, X(0+)=I, X(t)=0 for t 0, Y(0+)=I, Y(t)=0 for ...
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Stability of Neutral Stochastic Delay Differential Equations with Infinite Delay

Applied Mechanics and Materials, 2013
This paper considers the pth moment stability of solution to neutral stochastic delay differential equation with infinite delay with local Lipschitz condition but neither the linear growth condition. The stability is more general and representative than the exponential stability.
Rong Hu, De Jun Shao
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A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay

Chaos, Solitons & Fractals, 2022
C. Dineshkumar   +4 more
semanticscholar   +1 more source

On Implicit Impulsive Conformable Fractional Differential Equations with Infinite Delay in b-Metric Spaces

Rendiconti del Circolo Matematico di Palermo Series 2, 2022
S. Krim   +3 more
semanticscholar   +1 more source

Delay Equations in Infinite-Dimensional Spaces

2015
Our main goal in this chapter is to demonstrate how the method developed in Chapters 2 and 3 can be applied to study qualitative dynamics of abstract evolution equations containing delay terms. These equations naturally arise in various applications, such as viscoelasticity, nuclear reactors, heat flow, neural networks, combustion, interaction of ...
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An Infinite-Skew Tolerant Delay Locked Loop

2006 IEEE International Symposium on Circuits and Systems, 2006
This paper describes a new delay locked loop (DLL) architecture with infinite-skew tracking range. This is accomplished by two inverse operating delay lines, which work in a ping-pong fashion. Only a small number of delay elements are required, leading to a low delay gain and resulting in improved jitter performance compared to state of-the-art DLLs ...
P. Petkov, J. Conder, F. Gerfers
openaire   +1 more source

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