Periodic solutions to a difference equation with maximum期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Periodic solutions to a difference equation with maximum

Authors:	H. D. Voulov

Affiliation:	Department of Mathematics, Southern Illinois University at Carbondale, Carbondale, Illinois 62901-4408

Abstract:	An open problem posed by G. Ladas is to investigate the difference equation $begin{displaymath}x_n=maxleft{frac{A}{x_{n-1}},,frac{B}{x_{n-3}},,frac{C} {x_{n-5}}right},quad n=0,1,ldots,end{displaymath}$ where are any nonnegative real numbers with . We prove that there exists a positive integer such that every positive solution of this equation is eventually periodic of period .

Keywords:	Periodic solutions nonlinear difference equations

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