Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers

Joint Authors

Liu, Wanping
He, Li

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-10-25

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

This paper studies a third-order conditional difference equation which is a generalization from the literature.

We investigate this equation by transforming it into a first-order system.

Finally it is proved that the equation has no period-two (or three) integer solutions.

Besides, its all period-four (and five) integer solutions are derived under appropriate rational parameters.

American Psychological Association (APA)

He, Li& Liu, Wanping. 2011. Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-501303

Modern Language Association (MLA)

He, Li& Liu, Wanping. Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-501303

American Medical Association (AMA)

He, Li& Liu, Wanping. Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-501303

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-501303