非单调时滞反应扩散方程的周期解和概周期解

Abstract

Abstract:

In this paper, periodic solutions and almost periodic solution of a nonmonotone reaction-diffusion system with time delay are investigated. By constructing the upper and lower control function and using the method of upper and lower solutions as well as Schauder fixed point theorem, it is shown that the boundary value problem has a unique periodic solution or almost periodic solution. Finally, a classical model arising from chemistry is used to illustrate the obtained results.

Key words: Delay, Periodic solution, Almost periodic solution, Upper and lower solution, Reaction-diffusion equation

CLC Number:

WANG Chang-You, WANG Shu, LI Lin-Rui. Periodic Solution and Almost Periodic Solution of a Nonmonotone Reaction-diffusion System with Time Delay[J].Acta mathematica scientia,Series A, 2010, 30(2): 517-524.

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References

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Periodic Solution and Almost Periodic Solution of a Nonmonotone Reaction-diffusion System with Time Delay

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