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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.
openaire   +1 more source

Exponential decay for elastic systems with structural damping and infinite delay

Applicable Analysis, 2018
In this paper, we consider nonlinear evolution equations of second order in Banach spaces involving unbounded delay, which can model an elastic system with structural damping involving infinite delays.
V. Luong, N. T. Tung
semanticscholar   +1 more source

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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Exponential Stability in Mean Square of Stochastic Functional Differential Equations with Infinite Delay

Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, 2021
Zhi Li, Liping Xu
semanticscholar   +1 more source

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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Time-delay interferometry

Living Reviews in Relativity, 2020
Massimo Tinto
exaly  

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