Asymptotic properties of solutions to nonautonomous volterra difference systems with infinite delay
نویسندگان
چکیده
منابع مشابه
Asymptotic Properties of Solutions of Nonautonomous Difference Equations
Asymptotic properties of solutions of difference equation of the form ∆xn = anφn(xσ(n)) + bn are studied. Conditions under which every (every bounded) solution of the equation ∆yn = bn is asymptotically equivalent to some solution of the above equation are obtained. Moreover, the conditions under which every polynomial sequence of degree less than m is asymptotically equivalent to some solution...
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The paper gives necessary and sufficient conditions providing regularity of solutions to stochastic Volterra equations with infinite delay on a ddimensional torus. The harmonic analysis techniques and stochastic integration in function spaces are used.
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Motivated by the old but significant papers by Driver [3] and Driver et al. [5], a number of relevant papers has recently appeared in the literature. See Frasson and Verduyn Lunel [10], Graef and Qian [11], Kordonis et al. [16], Kordonis and Philos [19], Kordonis et al. [21], Philos [26], and Philos and Purnaras [28, 30, 35, 33, 36]. The results in [10, 11, 16, 26, 28, 30, 35, 36] concern the l...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2001
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(01)00186-9