Results 121 to 130 of about 19,201 (141)

Stochastic Gilpin–Ayala competition model with infinite delay

Applied Mathematics and Computation, 2011
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Vasilova, Maja, Jovanović, Miljana
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Stability of infinite delay difference systems

Nonlinear Analysis: Theory, Methods & Applications, 1994
The author considers general delay difference systems with infinite delay of the form \[ x(n+ 1)= G(n, x(s);\;s= l,l+1,\dots, n)=: G(n, x(\cdot)), \tag{*} \] where \(l\) is an integer or \(-\infty\). It is assumed that \(G(n, 0)\equiv 0\) for \(n= l, l+1,\dots\), so that \((*)\) has the zero solution \(x(n)\equiv 0\).
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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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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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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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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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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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