On Positive Solutions of a Reciprocal Difference Equation With Minimum

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Tarih

2005

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer Verlag

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper we consider positive solutions of the following difference equation xn+1 = min {A/xn, B/xn-2}, A, B > 0. We prove that every positive solution is eventually periodic. Also, we present here some results concerning positive solutions of the difference equation xn+1 = min {A/xnxn-1...x n-k, B/xn-(k+2)....xn-(2k+2)}, A, B > 0.

Açıklama

Anahtar Kelimeler

Difference equation, Minimum, Periodicity, Positive solution

Kaynak

Journal of Applied Mathematics and Computing

WoS Q Değeri

Scopus Q Değeri

Q2

Cilt

17

Sayı

1-2

Künye

Yalçınkaya, İ., Çınar, C., Stevic, S., (2005). On Positive Solutions of a Reciprocal Difference Equation With Minimum. Journal of Applied Mathematics and Computing, 17(1-2), 307-314. Doi: 10.1007/BF02936057