Abstract
This paper studies the nonautonomous nonlinear system of difference equations {fx320-1} where {ie320-1} is an N×N matrix, with {ie320-2} for i, j=1,2,3,…,N, and {ie320-3}, satisfying A(t+ω)=A(t), f(t+ω,z)=f(t,z) for any {ie320-4} and ω is a positive integer. Sufficient conditions for the existence of ω-periodic solutions to equations (*) are obtained.
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Supported by the NNSF of China(10571050), the EYTP of China and the Science Foundation of the Education Committee of Human Province(04C457).
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Genping, W., Jianhua, S. Existence of periodic solutions of system of difference equations. Appl. Math. Chin. Univ. 21, 320–326 (2006). https://doi.org/10.1007/s11766-003-0008-3
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DOI: https://doi.org/10.1007/s11766-003-0008-3