The periodicity and solutions of the rational difference equation with periodic coefficients
Küçük Resim Yok
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
PERGAMON-ELSEVIER SCIENCE LTD
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we give necessary and sufficient conditions for generalized solution and periodicity of the difference equation x(n+1) = p(n)x(n-k)+x(n-(k+1))/q(n)+x(n-(k+1)) with (k + 2)-periodic coefficients, where k is an element of N, x(-k-1), x(-k,) ... ,x(0) is an element of R. Also, we obtain that the generalized solution is periodic with (k + 1)-period. (C) 2011 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Rational difference equation, Periodicity, Generalized solution
Kaynak
COMPUTERS & MATHEMATICS WITH APPLICATIONS
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
62
Sayı
4
