Stability for a class of difference equations

Authors:
Yoshiaki Muroya;Emiko Ishiwata
Affiliations:
Department of Mathematics, Waseda University, 3-4-1 Ohkubo Shinjuku-ku, Tokyo, 169-8555, Japan;Department of Mathematical Information Science, Tokyo University of Science, 1-3 Kagurazaka Shinjuku-ku, Tokyo, 162-8601, Japan
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

We consider the following non-autonomous and nonlinear difference equations with unbounded delays: {x"i"+"1=qx"i-@?j=-~ia"i","jf"i"-"j(x"j),i=0,1,2,...,x"j=@f"j,-~