简介：TheexistenceofsolutionsforsystemsofnonlinearimpulsiveVolterraintegralequationsontheinfiniteintervalR+withaninfinitenumberofmomentsofimpulseeffectinBanachspacesisstudied.Someexistencetheoremsofextremalsolutionsareobtained,whichextendtherelatedresultsforthisclassofequationsonafiniteintervalwithafinitenumberofmomentsofimpulseeffect.Theresultsaredemonstratedbymeansofanexampleofaninfinitesystemsforimpulsiveintegralequations.

简介：ＰＥＲＳＩＳＴＥＮＣＥＩＮＡＴＨＲＥＥＳＰＥＣＩＥＳＬＯＴＫＡ－ＶＯＬＴＥＲＲＡＰＥＲＩＯＤＩＣＰＲＥＤＡＴＯＲ－ＰＲＥＹＳＹＳＴＥＭＣＨＥＮＬａｎｓｕｎ；ＰＥＮＧＱｉｕｌｉａｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃｓ，ＡｃａｄｅｍｉａＳｉｎ...

简介：Therecursivestructureandquasi-recursivestructureofAdaptiveVolterraFil-ter(AVF)areputforward,theiralgorithmsaregiven,andtheircharacteristicsandapplicationsarediscussed.TheintroductionofrecursivestructurecanremarkablyreducetheparametersandcomputationalcostofAVF.

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：Inthispaper,wepresentastabilityanalysisofaLotka-VolterracommensalsymbiosismodelsubjecttoAlleeeffectontheunaffectedpopulationwhichoccursatlowpopulationdensity.ByanalyzingtheJacobianmatrixaboutthepositiveequilibrium,weshowthatthepositiveequilibriumislocallyasymptoticallystable.Byapplyingthedifferentialinequalitytheory,weshowthatthesystemispermanent,consequently,theboundaryequilibriaofthesystemisunstable.Finally,byusingtheDulaccriterion,weshowthatthepositiveequilibriumisgloballystable.AlthoughAlleeeffecthasnoinfluenceonthefinaldensitiesofthepredatorandpreyspecies,numericsimulationsshowthatthesystemsubjecttoanAlleeeffecttakesmuchlongertimetoreachitsstablesteady-statesolution,inthissensethatAlleeeffecthasunstableeffectonthesystem,however,suchaneffectiscontrollable.Suchanfindingisgreatlydifferenttothatofthepredator-preymodel.

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。

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简介：本文对积分算子Ｉ_α作了进一步的讨论，并利用它，得到了常系数Ｖｏｌｔｅｒｒａ弱奇异积－微分方程的一种算子解法．

简介：本文引入契贝晓夫多项式作为基函数,利用Galerkin方法研究了一类Fredholm-Volterra积分方程的数值解,并进行了数值模拟.结果表明,该方法可行且有效.

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.

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简介：本文给出了Volterra积分微分方程的零解关于部分变元的稳定性定义,并建立了几个判定定理。

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：Thisarticleprovestheexistenceanduniquenessofsolutiontotwo-parameterstochasticVolterraequationwithnon-LipschitzcoefficientsanddrivenbyBrowniansheet,wherethemaintoolisBihari'sinequalityintheplane.Moreover,wealsodiscussthetimeregularitypropertyofthesolutionbyKolmogorov'scontinuitycriterion.

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：ThethreespeciesLotka-Volterraperiodicmodelwithtwopredatorsandonepreyisconsidered.Asetofeasilyverifiablesufficientconditionsisobtained.Finally,anexampleisgiventoillustratethefeasibilityoftheseconditious.

简介：Anon-autonomouscompetingsystemisinvestigatedinthispaper,wherethespeciesxcandiffusebetweentwopatchesofaheterogeneousenvironmentwithbarriersbetweenpatches,butforspeciesy,thediffusiondoesnotinvolveabarrierbetweenpatches,furtheritisassumedthatalltheparametersaretimedependent.Itisshownthatthesystemcanbemadepersistentundersomeappropriateconditions.Moreover,sufficientconditionsthatguaranteetheexistenceofauniquepositiveperiodicorbitwhichisgloballyasymptoticstablearederived.

简介：这份报纸涉及与sextic轨道从一个二次的可逆Lotka-Volterra系统的一个时期体环区分的限制周期。作者使用一个扩大完全的Chebyshev系统的性质并且证明在二次的不安下面的时期体环的cyclicity等于二。

简介：一致永久性和几乎周期的Lotka-Volterra的一个班的全球asymptotic稳定性与散开和延期打N种类竞争系统reinvestigated。系统在一些适当条件下面是一致地坚持的，这被显示出，并且新足够的条件为系统的唯一的积极几乎周期的解决方案的全球asymptotic稳定性被获得。