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APPROXIMATING INFINITE DELAY WITH FINITE DELAY
Communications in Contemporary Mathematics, 2012Equations 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 +2 more
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Stochastic logistic equation with infinite delay
Mathematical Methods in the Applied Sciences, 2012This 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 ...
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