Publication:
Periodic solutions of a generalized system of piecewise linear difference equations

Issued Date

2015-12-12

Resource Type

Article

ISSN

16871847
16871839

DOI

10.1186/s13662-015-0585-5

Other identifier(s)

2-s2.0-84938888412

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Advances in Difference Equations. Vol.2015, No.1 (2015)

Suggested Citation

Wirot Tikjha, Evelina Lapierre, Yongwimon Lenbury Periodic solutions of a generalized system of piecewise linear difference equations. Advances in Difference Equations. Vol.2015, No.1 (2015). doi:10.1186/s13662-015-0585-5 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/36194

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Title

Periodic solutions of a generalized system of piecewise linear difference equations

Author(s)

Wirot Tikjha
 Evelina Lapierre
 Yongwimon Lenbury

Other Contributor(s)

Pibulsongkram Rajabhat University
 Thailand Ministry of Education
 Johnson and Wales University
 Mahidol University

Abstract

© 2015, Tikjha et al. In this article we consider the global behavior of the following system of piecewise linear difference equations: (Formula presented.) where b is any positive real number and the initial condition (Formula presented.) is an element of <sup>R2</sup>. By mathematical induction and direct computations we show that the solution to the system is eventually one of two particular prime period 3 solutions or the unique equilibrium solution.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/36194

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Scopus 2011-2015