论文信息 - Global stability of a max-type difference equation

Global stability of a max-type difference equation

We show that every positive solution to the difference equationx"n=maxA"1x"n"-"p"""1^@a^"^1,A"2x"n"-"p"""2^@a^"^2,...,A"kx"n"-"p"""k^@a^"^k,n@?N"0,where p"i,i=1,...,k are natural numbers such that 1=0,@a"i@?(-1,1),i=1,...,k, converges to max"1"=<"i"=<"kA"i^1^@a^"^i^+^1. This result improves and complements the main result in our recent note: S. Stevic, Global stability of a difference equation with maximum, Appl. Math. Comput. 210 (2009) 525-529, since it also considers the case when @a"i@?(-1,0],i=1,...,k.

Stevo Stevic | S. Stević

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