Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (1): 94-101.
• Articles • Previous Articles Next Articles
TENG Zhi-Dong
Online:
Published:
Supported by:
国家教委留学回国人员科研启动基金资助
Abstract:
该文研究一类无穷时滞周期LotkaVolterra型系统正周期解的存在性.应用Schauder不动 点定理得到了一个比较一般的正周期解存在定理.文献[1,2]中的主要结果被改进和推广.
Key words: 无穷时滞, LotkaVolterra型系统, 正周期解, Schauder不动点定理, 全局渐近稳定性
CLC Number:
TENG Zhi-Dong. The Positive Periodic Solutions of A Class of Periodic Lotka-Volterra Type Systems with Infinite Delay[J].Acta mathematica scientia,Series A, 2001, 21(1): 94-101.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://121.43.60.238/sxwlxbA/EN/
http://121.43.60.238/sxwlxbA/EN/Y2001/V21/I1/94
1 AhlipR A,KingRR.GlobalasymptoticstabilityofaperiodicsystemofdelayLogisticequations.BullAustralMath Soc,1996,53(3):373-389 2 GopalsamyK.Globalasymptoticstabilityinaperiodicintegrodifferentialsystem.TohokuMathJ,1985,37(3):323- 332 3 EilbeckJC,LopezGomezJ.OntheperiodicLotkaVolterracompetitionmodel.JMathAnalAppl,1997,210(1):58 -87 4 ZhidongTeng.ThealmostperiodicKolmogorovcompetitivesystems.NonlinearAnalysis,Theory,MethodsandAp plications,2000,42(7):1221-1230 5 TineoA.Aniterativeschemeforthe犖competingspeciesproblem.JDifferentialEquations,1995,116(1):1-15 6 DeimlingK.Nonlinearfunctionalanalysis.BerlinHeidelberg:SpringerVerlag,1985 7 BereketogluH,GyoriI.GlobalasymptoticstabilityinanonautonomousLotkaVolterratypesystem withinfinitede lay.JMathAnalAppl,1997,210(1):279-291 8 AhmadS,LazerAC.Onthenonautonomous犖competingspeciesproblems.ApplAnal,1995,57(2):309-323 9 BermanJ,PlemmonsRJ.Nonnegativematricesinthemathematicalsciences.New York:AcademicPress,1979
Cited
On the Completeness and Closure of Random Systems { tλn (ω) } in a Weighted Banach Space