Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (2): 465-474.

• Articles • Previous Articles     Next Articles

The Existence of Positive Periodic Solutions for a Kind of Periodic Reaction-diffusion Equations

  

  1. (Department of Control Science and Engineering, Zhejiang University, Hangzhou 310027)
  • Received:2007-12-22 Revised:2009-01-11 Online:2009-04-25 Published:2009-04-25
  • Supported by:

    国家自然科学基金(60374051)和杭州电子科技大学青年科研基金(KYF091504021)资助

Abstract:

By means of the property of periodic parabolic operators, Schauder estimates and global bifurcation theory, the coexistence state of time-periodic solutions for reaction-diffusion equations, a kind of two-species periodic
predator-prey systems, are investigated. The necessary and sufficient conditions for the existence of positive periodic solutions are obtained.

Key words: Reaction-diffusion equations, Schauder estimates, Positive periodic solutions, Theory of bifurcation

CLC Number: 

  • 35K57
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