The dynamics of xn+1 = α+βxn/A+Bxn+Cxn-1 facts and conjectures

Kulenović; Ladas; Martins; I. W. Rodrigues

doi:10.1016/S0898-1221(03)00090-7

The dynamics of xn+1 = α+βxn/A+Bxn+Cxn-1 facts and conjectures

Kulenović
, Ladas
, Martins
, I. W. Rodrigues

College of Arts and Sciences
Cleveland State University

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

We investigate the global character of solutions of the equation in the title with non-negative parameters and nonnegative initial conditions.

Original language	English
Pages (from-to)	1087-1099
Number of pages	13
Journal	Computers and Mathematics with Applications
Volume	45
Issue number	6-9
DOIs	https://doi.org/10.1016/S0898-1221(03)00090-7
State	Published - Mar 1 2003

Keywords

Boundedness
Difference equation
Global asymptotic stability
Invariant intervals
Periodic solutions
Semicycles

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10.1016/S0898-1221(03)00090-7

Cite this

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title = "The dynamics of xn+1 = α+βxn/A+Bxn+Cxn-1 facts and conjectures",

abstract = "We investigate the global character of solutions of the equation in the title with non-negative parameters and nonnegative initial conditions.",

keywords = "Boundedness, Difference equation, Global asymptotic stability, Invariant intervals, Periodic solutions, Semicycles",

author = "Kulenovi{\'c} and Ladas and Martins and Rodrigues, \{I. W.\}",

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AU - Ladas, null

AU - Martins, null

AU - Rodrigues, I. W.

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AB - We investigate the global character of solutions of the equation in the title with non-negative parameters and nonnegative initial conditions.

KW - Boundedness

KW - Difference equation

KW - Global asymptotic stability

KW - Invariant intervals

KW - Periodic solutions

KW - Semicycles

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ER -

The dynamics of xn+1 = α+βxn/A+Bxn+Cxn-1 facts and conjectures

Abstract

Keywords

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