非線性積分方程的周期解

●海 紅

(武警學(xué)院 基礎(chǔ)部,河北廊坊 065000)

1 準(zhǔn)備工作

2 周期解的存在性

[1]BURTON T A.Stability and periodic solutions of ordinary and functional differential equations[M].Academic Press,New York,1985.

[2]BURTON T A.Periodic solutions of Volterra equations[J].Funkcialaj Ekvacioj,1984,27：229-253.

[3]MILLER R K.Nonlinear Volterra integral equations[M].Enjam in,Melno Park,California,1971.

[4]ISLAM M N.Periodic solutions of Volterra integral equations[J].Internat.Math.＆ Math Sci.,1988,11(4)：781-792.

[5]ISLAM M N.Periodic solutions of nonlinear integral equations[J].Annali di Mattmatica.Pura ed Appl.(IV),Vol CL：129-140;Math.Anal.Appl,1978,66：606-625.

[6]HALE JK,KATO J.Phase space for retarded equations with infinite delay[J].Funkcial.Ekvac.,1978,21(1)：11-41.