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Stochastic logistic equation with infinite delay

Mathematical Methods in the Applied Sciences, 2012
This paper perturbs the famous logistic equation with infinite delay urn:x-wiley:01704214:media:mma1608:mma1608-math-0001 into the corresponding stochastic system urn:x-wiley:01704214:media:mma1608:mma1608-math-0002This study shows that the above stochastic system has a global positive solution with probability 1 and gives the asymptotic pathwise ...
Liu, Meng, Wang, Ke
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On Perturbation of the Kernel in Infinite Delay Systems

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1992
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Farkas, M., Stépan, G.
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ASYMPTOTIC EXPANSION FOR DIFFERENCE EQUATIONS WITH INFINITE DELAY

Asian-European Journal of Mathematics, 2009
Using summable dichotomies and Schauder's fixed point theorem, we obtain existence, asymptotic behavior and compactness properties, of convergent solutions for difference equations with infinite delay. Applications on Volterra difference equations with infinite delay are shown.
Cuevas, Claudio, del Campo, Luis
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On Oscillation of a Differential Equation with Infinite Number of Delays

Zeitschrift für Analysis und ihre Anwendungen, 2002
For a scalar delay differential equation \dot{x}(t) + \sum^\infty_{k=1} a_k(t)x(h_k(t)) = 0 \; \; \; (H_k(t) ≤ t) a connection between the following four properties is established:
Berezansky, L., Braverman, E.
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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 ...
Pavel V. Petkov   +2 more
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Stability of functional differential equations with infinite delays

Applied Mathematics-A Journal of Chinese Universities, 2005
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Luo, Zhiguo, Shen, Jianhua
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Generalized exponential stability of stochastic delayed systems with delayed impulses and infinite delays

Systems & Control Letters
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Dehao Ruan, Quanxin Zhu, Yao Lu
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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 ...
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Neutral functional differential equations with infinite delay

Funkcialaj Ekvacioj, 1985
The paper discusses the fundamental theory of neutral functional differential equations (NFDE) with infinite delay on an abstract phase space given by \textit{J. K. Hale} and \textit{J. Kato} [ibid. 21, 11-41 (1978; Zbl 0383.34055)]. The axioms for the phase space are stated in Section 1.
Zhicheng, Wang, Jianhong, Wu
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Stochastic Kolmogorov-type system with infinite delay

Applied Mathematics and Computation, 2011
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Shaobo Zhou, Shigeng Hu, Liqun Cen
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