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Periodic solutions of higher-dimensional discrete systems

Published online by Cambridge University Press:  12 July 2007

Zhan Zhou ,
Jianshe Yu  and
Zhiming Guo
Zhan Zhou
Affiliation:
Department of Applied Mathematics, Guangzhou University, Guangzhou, Guangdong 510405, People's Republic of China
Jianshe Yu
Affiliation:
Department of Applied Mathematics, Guangzhou University, Guangzhou, Guangdong 510405, People's Republic of China
Zhiming Guo
Affiliation:
Department of Applied Mathematics, Guangzhou University, Guangzhou, Guangdong 510405, People's Republic of China
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Abstract

Consider the second-order discrete system where f ∈ C (R × Rm, Rm), f(t + M, Z) = f(t, Z) for any (t, Z) ∈ R × Rm and M is a positive integer. By making use of critical-point theory, the existence of M-periodic solutions of (*) is obtained.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 5 , October 2004 , pp. 1013 - 1022
Copyright
Copyright © Royal Society of Edinburgh 2004

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