Acta mathematica scientia,Series A ›› 2004, Vol. 4 ›› Issue (5): 632-640.

• Articles • Previous Articles    


The Problem of Existence of Positive Periodic Solutions to \=a |Neutral Model of Singalspecies Population Growth

 LU Shi-Beng, GE Wei-Gao   

  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    国家自然科学基金(19871005)和安徽省教育厅自然科学基金(2002KJ133)资助

Abstract:

In this paper, the authors employ an abstract continuous theorem of kset  contractive operator and some analysis techniques to study the existenceof positive periodic  solutions for a neutral functional differential equationas follows[SX(]dN[]dt[SX)]=N(t)[a(t)-β(t)N(t)-∑[DD(]n[]j=1[DD)]b\-j(t) N(t-σ\-i(t))-∑[DD(]m[]i=1[DD)]c\-i(t)N′(t-τ\-i(t))].Some new results on the existence of positive periodic solutions are obtained.
The  results extend and generalize the corresponding work of  known  literature.

Key words: Positive periodic solution, Abstract continuous , theorem; , Neutral functional differential equation; , kset contractive operator

CLC Number: 

  • 34B15|34K13
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