Abstract
Our aim in this paper is to deal with the dynamics of following higher order difference equation,x(n+ 1) = A+ B x(n- m)/x(n)(2),where A, B > 0, and initial values are positive, and m = {1,2,...}. Furthermore, we discuss the periodicity, boundedness, semi-cycles, global asymptotic stability of solutions of these equations. We also handle the rate of convergence of solutions of these difference equations.
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Kapsamı
Uluslararası
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Type
Hakemli
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Index info
WOS.SCI
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Language
English
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Article Type
None
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Keywords
Difference equations periodicity boundedness semi-cycle global asymptotic stability rate of convergence delay