Results 241 to 250 of about 262,466 (282)

APPROXIMATING INFINITE DELAY WITH FINITE DELAY

Communications in Contemporary Mathematics, 2012
Equations with infinite delay commonly face the philosophical objection of being "unphysical", since a memory of infinite duration conflicts with reality. Indeed, besides common sense, experimental observations on concrete physical models tell that effects from the far past cannot possibly influence the current dynamics of a given system.
CONTI, MONICA, MARCHINI, ELSA MARIA, PATA, VITTORINO   +2 more
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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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Stochastic Lotka–Volterra model with infinite delay

Statistics & Probability Letters, 2009
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Wan, Li, Zhou, Qinghua
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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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