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简介：本文考虑五种群捕食一被捕食Lotka-Volterra周期模型,得到了一组容易检验保证存在全局渐近稳定的正周期解的充分条件.

简介：TheKurzweil-HenstockintegralformalismisappliedtoestablishtheexistenceofsolutionstothelinearintegralequationsofVolterra-typewherethefunctionsareBanach-spacevalued.SpecialtheoremsonexistenceofsolutionsconcerningtheLebesgu3integralsettingareobtained.Thesesharpenearlierresults.

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：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：UsingafixedpointtheoremofKrasnosel'skiitype,thisarticleprovestheexistenceofasymptoticallystablesolutionsforaVolterra-Hammersteinintegralequationintwovariables.

简介：ThispaperdealswiththeuniquenessandexistenceofperiodicsolutionsofneutralVolterraintegrodifferentialequations(1)and(2).Somenewuniqueexistencecriteriaareobtained.

简介：Inthispaper,weusethecontractionprincipleandtheLeray-SchauderprincipletodealwiththeexistenceofperiodicsolutionsoftheVolterraintegraldifferentialequation.Somenewexistencecriteriaanduniqueexistencecriteriaareobtained.

简介：ThepurposeofthispaperistostudythesuperconvergencepropertiesofRitz-Volterraprojection.ThroughconstructionanewtypeofGreenfunctionandmakinguseofitspropertiesandtheprincipleofduality,thepaperprovesthattheRitz-Volterraprojectiondefinedonr-1orderfiniteelementspacesofLagrangetypeinoneandtwospacevariablecasespossessesO(h2r~2)orderandO(h4+1|Inh|)ordernodalsuperconvergence,respectively,andthesametypeofsuperconver-genceresultsaredemonstratedforthesemidiscretefinitedementapproximatesolutionsofSoboleve-quations.

简介：§1.IntroductionItisknownthatthefollowingCauchyproblemforaparabolicpartialdifferentialequation(wherethevaluesattherightboundary,u.(1,t)=v(t)areunknownandsoughtfor)isill-posed:thesolution(v)doesnotdependcontinuouslyonthedata(g).Inordertotreattheill-posednessanddevelopthenumericalmethod,onereformulatestheproblemasaVolterraintegralequationofthefirstkindwishaconvolutiontypekernel(seeSneddon[1],CarslawandJaeger[2])

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简介：日前，Maxim宣布就收购Volterra达成最终协议，收购价为每股23美元，较Volterra于8月14日的收盘价溢价55％。此项交易的股权价值约为6．05亿美元或4．5亿美元（不计人Volterra自身所拥有的约1．55亿美元现金）。

简介：ThepurposeofthispaperistostudythestabilityandapproximationpropertiesofRitz-Volterraprojection.ThroughconstructinganewtypeofGreenfunctionsandmakinguseofvariouspropertiesandestimatesrelatedwiththefunctions,weprovethattheRitz-Volterraprojectiondefinedonthefinite-dimensionalsubspaceS_hofH_o~1possessestheW_p~1-stabilityandtheoptimalapproximationpropertiesinW_p~1andL_pfor2≤p≤∞.Ourresults,inthispaper,canbeappliedtothefiniteelementapproximationsformanyevolutionequationssuchasparabolicandhyperbolicintegrodifferentialequations,Sobolevequationsandvisco-elasticity,etc.

简介：摘要 : Volterra核函数辨识是一种非线性系统模型，能够良好的应用于结构损伤检测，对于现代机械工程的发展起到了非常重要的作用。本文笔者对 Volterra核函数辨识下结构损伤检测进行分析研究，文章中对 Volterra级数进行详细的分析阐述，并提出 Volterra核函数辨识在结构损伤检测当中的具体应用过程。

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

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

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.