简介:用Schauder不动点定理给出周期系数Volterra模型周期解的存在条件.
简介:利用迭合度理论的连续定理,讨论了一类中立型系统的正周期解的存在性.得到了正周期解存在的一些充分条件.
简介:研究具有捕获项的两种群时滞Lotka-Volterra合作系统的多个正周期解。利用延拓定理和分析技巧得到该系统存在至少4个正周期解的充分条件。
简介:研究了一类三种群Lotka-Volterra概周期捕食系统,本文结合运用Liapunov函数,得到该系统唯一存在全局渐近稳定的正概周期解的充分条件.
简介:TheKurzweil-HenstockintegralformalismisappliedtoestablishtheexistenceofsolutionstothelinearintegralequationsofVolterra-typewherethefunctionsareBanach-spacevalued.SpecialtheoremsonexistenceofsolutionsconcerningtheLebesgu3integralsettingareobtained.Thesesharpenearlierresults.
简介:系统中引入了一类算子,利用Banach不动点研究了随机Volterra-Levin方程均方概周期mild解的存在性和唯一性,获得了均方概周期mild解存在性和唯一性的充分条件.
简介:根据区间矩阵理论建立了Lotka-Voherra区间系统,然后利用系统的耗散性研究了它的鲁棒持久性。
简介:考虑非线性中立型Volterra差分系统的稳定性,分别得到零解的平方可和稳定性和φ-平方可和稳定性。
简介:TheprimarypurposeofthispaperistopresenttheVolterraintegralequationofthetwo-variableHermitematrixpolynomials.Moreover,anewrepresentationofthesematrixpolynomialsareestablishedhere.
简介:WeconsiderthemultidimensionalabstractlinearintegralequationofVolterratypex(t)+(*)∫Rtα(s)x(s)ds=f(t),t∈R,(1)asthelimitofdiscreteStieltjes-typesystemsandweproveresultsontheexistenceofcontinuoussolutions.Thefunctionsx,αandfareBauachspace-valueddefinedonacompactintervalRofR^nRtisasubintervalofRdependingont∈Rand(*)fdenoteseithertheBochner-LebesgueintegralortheHenstockintegral.Theresultspresentedheregeneralizethosein[1]andareinthespiritof[3].Asaconsequenceofourapproach,itispossibletostudythepropertiesof(1)bytransferringthepropertiesofthediscretesystems,TheHenstockintegralsettingenablesustoconsiderhighlyoscillatingfunctions.
简介:UsingafixedpointtheoremofKrasnosel'skiitype,thisarticleprovestheexistenceofasymptoticallystablesolutionsforaVolterra-Hammersteinintegralequationintwovariables.
简介:ThediscretedynamicsforcompetitionpopulationsofLotka-VolterratypemodeledasN1(t+1)=N1(t)exp[r1(1-N1-b12N2)],N2(t+1)=N2(t)exp[r2(1-N2-b21N1)]isconsideredinthepaper.Inthecaseofnon-persistencetheattractivebehaviorofmodelhasbeendiscussed.Especially,therearetwoattractivesetswhenbij>1,andtheattractivebehaviorsaremorecomplicatedthanthatofthecorrespondingcontinuousmodel.Theattractedregionsaregiven.Weprovethatthemodelisalsopersistentinthedegeneratecaseofbij=1.Inthepersistencecaseofbij<1,theexistenceanduniquenessfortwo-periodpointsofthemodelarestudiedatr1=r2.Theconditionforthemulti-pairoftwo-periodpointsisindicatedandtheirinfluencesonpopulationdynamicalbehaviorsareshown.
简介:Inthispaper,weusethecontractionprincipleandtheLeray-SchauderprincipletodealwiththeexistenceofperiodicsolutionsoftheVolterraintegraldifferentialequation.Somenewexistencecriteriaanduniqueexistencecriteriaareobtained.