Almost-periodic behavior of solutions of a nonlinear Volterra system.
نویسندگان
چکیده
منابع مشابه
On the Existence of Almost Periodic Solutions of a Nonlinear Volterra Difference Equation
The existence of almost periodic solutions of a nonlinear Volterra difference equation with infinite delay is obtained by using some restrictive conditions of the equation. AMS subject classification: 39A10, 39A11.
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In order to obtain the conditions for the existence of periodic and almost periodic solutions of Volterra difference equations, x(n+1) = f(n, x(n))+ ∑n s=−∞ F (n, s, x(n+ s), x(n)), we consider certain stability properties, which are referred to as (K, ρ)-weakly uniformly-asymptotic stability and (K, ρ)-uniformly asymptotic stability. Moreover, we discuss the relationship between the ρ-separati...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1971
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/271670