Limiting periodicity of the solutions for some Volterra difference equations

Authors:
V. B. Kolmanovskii
Affiliations:
Department of Automatic Control CINVESTAV-IPN 2508, AP 14-740, Col. S.P. Zacatenco, CP 07360, Mexico DF, Mexico and Department of Cybernetics, Moscow University of Electronics & Mathematics, Mosco ...
Venue:
Nonlinear Analysis: Theory, Methods & Applications - Theory and methods
Year:
2003

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Abstract

Conditions of the limiting of periodicity of the solutions for some Volterra difference equations are derived. These conditions are formulated immediately in terms of the coefficients of equations and their resolvent, using the second Liapunov method and fixed point theorem.