Open AccessOn polynomial rates of decay and growth of solutions to nonlinear difference equations
Author(s) -
John A. D. Appleby,
Małgorzata Guzowska,
Alexandra Rodkina
Publication year - 2007
Publication title -
revista de matemáticas
Language(s) - English
Resource type - Journals
eISSN - 2215-3373
pISSN - 1409-2433
DOI - 10.15517/rmta.v14i2.39307
Subject(s) - polynomial , nonlinear system , scalar (mathematics) , mathematics , significant difference , mathematical analysis , exponential growth , physics , statistics , quantum mechanics , geometry
We discuss stability and growth of the solutions of an autonomous scalar difference equations. We determine the exact rates of decay and growth of the solutions when autonomous difference equation has a polynomial nonlinearity.