On a Max-Type Difference System

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=51205#.VFsrMmfHRK0

Author(s)

Decun Zhang, Xibao Li, Liying Wang, Shiwei Cui

Affiliation(s)

Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, China.

ABSTRACT

In this paper, we show that every well-defined solution of the max-type system of difference equations , , is eventually periodic with period four.

KEYWORDS

Periodic Solution, Max-Type Difference System

Cite this paper

Zhang, D. , Li, X. , Wang, L. and Cui, S. (2014) On a Max-Type Difference System. Applied Mathematics, 5, 2959-2967. doi: 10.4236/am.2014.519281. 

 

References

[1]	Briden, W.J., Grove, E.A., Kent, C.M. and Ladas, G. (1999) Eventually Periodic Solutions of , Nonlinear Analysis, 6, 31-34.
[2]	Xiao, Q. and Shi, Q.H. (2013) Eventually Periodic Solutions of a Max-Type Equation. Mathematical and Computer Modelling, 57, 992-996. http://dx.doi.org/10.1016/j.mcm.2012.10.010
[3]	Ji, W.Q. (2013) On the Behavior of the Solution of Several Difference Equations and the Difference System. Naval Aeronautical Engineering Institute, Yantai.
[4]	Simsek, D., Cinar, C. and Yalcinkaya, I. (2006) On the Solutions of the Difference Equation . International Journal of Contemporary Mathematical Sciences, 1, 481-487.
[5]	Elsayed, E.M. and Stevic, S. (2009) On the Max-Type Equation . Nonlinear Analysis, 71, 910-922. http://dx.doi.org/10.1016/j.na.2008.11.016
[6]	Stevc, S. (2012) On Some Periodic Systems of Max-Type Difference Equations. Applied Mathematics and Computation, 218, 11483-11487. http://dx.doi.org/10.1016/j.amc.2012.04.077
[7]	Stevic, S. (2012) Solutions of a Max-Type System of Difference Equations. Applied Mathematics and Computation, 218, 9825-9830. http://dx.doi.org/10.1016/j.amc.2012.03.057                 eww141106lx