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Stability of functional differential equations with infinite delays
Applied Mathematics-A Journal of Chinese Universities, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Zhiguo, Shen, Jianhua
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Retarded equations with infinite delays
1979It 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 ...
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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
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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
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Integrodifferential systems with infinitely many delays
Annali di Matematica Pura ed Applicata (1923 -), 1978In 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, 2013This 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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Rendiconti del Circolo Matematico di Palermo Series 2, 2022
S. Krim +3 more
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S. Krim +3 more
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Delay Equations in Infinite-Dimensional Spaces
2015Our 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, 2006This 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
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