Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
On polynomial rates of decay and growth of solutions to nonlinear difference equations
Vol. 14 No. 2 (2007), Articles
Vol. 14 No. 2 (2007)

On polynomial rates of decay and growth of solutions to nonlinear difference equations

Articles
https://doi.org/10.15517/rmta.v14i2.39307
Published July 1, 2007
John A. D. Appleby
∗School of Mathematical Sciences, Dublin City University, Ireland
Malgorzata Guzowska
Department of Econometrics and Statistics, University of Szczecin, Poland
Alexandra Rodkina
Department of Mathematics and Computer Science, University of the West Indies, Jamaica
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Keywords

non-linear difference equation
stability
rates of decay and growth
ecuaciones en diferencias no lineales
estabilidad
tasa de decaimiento y crecimiento

How to Cite

Appleby, J. A. D., Guzowska, M., & Rodkina, A. (2007). On polynomial rates of decay and growth of solutions to nonlinear difference equations. Revista De Matemática: Teoría Y Aplicaciones, 14(2), 147–155. https://doi.org/10.15517/rmta.v14i2.39307
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Abstract

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.

https://doi.org/10.15517/rmta.v14i2.39307
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References

Elaydi, S. N. (1999) An Introduction to Difference Equations. Springer, Berlin.

Sharkovsky, A. N.; Maistrenko, Yu. L.; Romanenko, E. Yu. (1993) Difference Equations and Their Applications. Kluwer Academic Publishers.

Erbe, L. H.; Zhang, B. G. (1989) “Oscillation of discrete analogues of delay equations”, Differential and Integral Equations 2: 300–309.

Kocic, V. L.; Ladas, G. (1993) Global Behaviour of Nonlinear Difference Equations of Higher Order With Applications. Kluwer Academic Publishers.

Shiryaev, A. (1996) Probability (2nd edition). Springer, Berlin.

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