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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
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Semilinear Parabolic Equations with Infinite Delay

1985
We shall deal with an abstract semilinear evolution equation $$\dot u\left( t \right) + Au\left( t \right) = F\left( {t,u} \right),{u_0} = \varphi ,$$ (1) with infinite delay, i.e., ut denotes a function ut(s) = u(t+s) on the interval (− ∞, 0]. The motivation for the study of such equations comes partly from theoretical biology.
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Generalized exponential stability of stochastic delayed systems with delayed impulses and infinite delays

Systems & Control Letters
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dehao Ruan, Quanxin Zhu, Yao Lu
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A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay

Chaos, Solitons and Fractals, 2022
C Dineshkumar   +2 more
exaly  

Complete controllability of perturbed infinite delay systems

Journal of the Nigerian Association of Mathematical Physics, 2012
Sufficient conditions for the complete controllability of perturbed infinitedelay systems are eveloped. The results are established using the Schauder’s fixed point theorem. An example is also given.
Iyai, D, Umana, RA
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Almost Periodic Solutions for Infinite Delay Systems

1981
For certain systems with infinite delay, which are represent-able in the form (1), one gives conditions assuring the existence and uniqueness of an almost periodic solution. The almost periodicity concept used for either solution or free term of the system is chosen among the following ones: a.p. function with absolutely convergent Fourier series; a.p.
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Stability and Stabilization of Infinite Delay Systems: A Lyapunov-Based Approach

IEEE Transactions on Automatic Control, 2020
Xiang Xu, Lu Liu, Gang Feng
exaly  

Existence and uniqueness for fractional neutral differential equations with infinite delay

Nonlinear Analysis: Theory, Methods & Applications, 2009
Yong Zhou
exaly  

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