Article citationsMore >>

Vol’pert, A., Differential equations on graphs. Mat. Sb. (N. S.), 88 (130) (1972) 578-588.

has been cited by the following article:

Article

Periodicity of Generalized Fibonacci-like Sequences

1“Dianet”, Laboratory of Digital Technologies, Moscow, Russia


Applied Mathematics and Physics. 2017, Vol. 5 No. 1, 11-18
DOI: 10.12691/amp-5-1-2
Copyright © 2017 Science and Education Publishing

Cite this paper:
Alexander V. Evako. Periodicity of Generalized Fibonacci-like Sequences. Applied Mathematics and Physics. 2017; 5(1):11-18. doi: 10.12691/amp-5-1-2.

Correspondence to: Alexander  V. Evako, “Dianet”, Laboratory of Digital Technologies, Moscow, Russia. Email: evakoa@mail.ru

Abstract

Generalized Fibonacci-like sequences appear in finite difference approximations of the Partial Differential Equations based upon replacing partial differential equations by finite difference equations. This paper studies properties of the generalized Fibonacci-like sequence Fn+2=A+BFn+1+CFn. It is shown that this sequence is periodic with period T>2, if C= -1, |B|<2.

Keywords