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简介：Inthispaper,weconsidertheapproximationproblemofstochasticintegralwithrespecttotwo-parameterWienerprocess.Wefirstintroduceakindofsymmetricintegralandproveitobeysthechainrule.Thenweapplyanintegralformulaofboundedvariationfunctionswithtwovariablestoshowtheapproximationtheoremofstochasticintegralintheplane.Inparticular,weprovethatthesymmetricstochasticintegralisstablewhenthelimitistakeninthesenseofL~2convergence.

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

简介：Inthispaper,westudytheLpboundednessforthesingularintegraloperatorsofR.Fef-fermanwhenthekernelsatisfiescertainsizecondition.Wealsoconsiderthecorrespondingmaximalsingularintegraloperators.

简介：Thisisashortsurveyonosicllatoryintegraloperators.Wesummarizethemaindevelopmentandman-agingtechniquesofthefield,andgivesomeopenproblemsandmainreferencesintheend.

简介：Inthispaper,weprovethatthemaximaloperatorsatisfiesishomogeneousofdegree0,hasvanishingmomentuptoorderMandsatisfiesLq-Diniconditionforsome

简介：Inthispaper,therelationshipbetweenRiemann-Liouvillefractionalintegralandthebox-countingdimensionofgraphsoffractalfunctionsisdiscussed.

简介：Theboundaryintegralequation(BIE)ofdisplacementderivativesisputatadisadvantageforthedifficultyinvolvedintheevaluationofthehypersingularintegrals.Inthispaper,theoperatorsδijandεijareusedtoactonthederivativeBIE.Theboundarydisplacements,tractionsanddisplacementderivativesaretransformedintoasetofnewboundarytensorsasboundaryvariables.AnewBIEformulationtermednaturalboundaryintegralequation(NBIE)isobtained.TheNBIEisappliedtosolvingtwo-dimensionalelasticityproblems.IntheNBIEonlythestronglysingularintegralsarecontained.TheCauchyprincipalvalueintegralsoccurringintheNBIEareevaluated.AcombinationoftheNBIEanddisplacementBIEcanbeusedtodirectlycalculatetheboundarystresses.ThenumericalresultsofseveralexamplesdemonstratetheaccuracyoftheNBIE.

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简介：TheHardyintegralinequalityisoneofthemostimportantinequalitiesinanalysis.ThepresentpaperestablishessomenewCopson-Pachpatte(C-P)typeinequalities,whicharethegeneralizationsoftheHardyintegralinequalitiesonbinaryfunctions.

简介：ThestressrateintegralequationsofelastoplasticityarededucedbasedonRef.[1]byconsistentmethods.Thepointatwhichthestressesand/ordisplacementsarecalculatedcanbeinthebodyorontheboundary,andintheplasticregionorelasticone.Theexistenceoftheprincipalvalueintegralintheplasticregionisdemonstratedstrictly,andthetheoreticalbasisispresentedforthepaticularsolutionmethodbyunitinitialstressfields.Inthepresentmethod,programmingiseasyandgeneral,andthenumericalresultsareexcellent.

简介：ForasimpleundirectedgraphG,denotebyA(G)the(0,1)-adjacencymatrixofG.LetthematrixS(G)=J-I-2A(G)beitsSeidelmatrix,andletSG(λ)=det(λI-S(G))beitsSeidelcharacteristicpolynomial,whereIisanidentitymatrixandJisasquarematrixallofwhoseentriesareequalto1.IfalleigenvaluesofSG(λ)areintegral,thenthegraphGiscalledS-integral.Inthispaper,ourmaingoalistoinvestigatetheeigenvaluesofSG(λ)forthecompletemultipartitegraphsG=Kn1,n2,...,nt.AnecessaryandsufficientconditionforthecompletetripartitegraphsKm,n,tandthecompletemultipartitegraphsKm,...,ms,n,...,nttobeS-integralisgiven,respectively.

简介：Inthispaper,weintroducenewsufficientconditionsforcertainintegraloperatorstobestarlikeandp-valentlystarlikeintheopenunitdisk.

简介：TheboundednessandthenormofaclassofintegraloperatorsTa,b,conLλPspacesarestudiedinthispaper.TheauthornotonlygivesthesufficientandnecessaryconditionfortheboundednessofTa,b,conLλP,butalsoobtainsitsaccuratenormonLλpforsomerangeundertheconditionofc=n+a+b.

简介：在现在的纸，作者介绍让步的新不可分的变换很多潜在地有用(知道或新)不可分的transfoms作为它的特殊情况。关于这新不可分的变换的许多基本结果，在这份报纸被建立，包括(例如)存在定理，Parseval类型关系和倒置公式。在有H功能和H变换的新不可分的变换之间的关系借助于一些不可分的身份被描绘。介绍变换也被用来发现答案到某个微分方程。一些解说性的例子也被给。

简介：Inthispaper,asimplebutinherentrelationbetweentheL-integralandtheBueeknerworkconjugateintegralisprovedforcrackproblemsinisotropic,anisotropic,anddissimilarmateri-als,respectively.Itisfoundthat,intheabove-mentionedthreecases,theL-integral,fromthemath-ematicalpointofviewaswellasinprinciple,arisesfromBetti’sreciprocaltheorem.ThismeansthattheBuecknerworkconjugateintegralisamoregeneralpath-independentintegralthantheotherssinceanyotherpath-independentintegralscouldbederivedbyusin8theBuecknerintegralwhilechoosingadifferentsubsidiarystress-displacementfield.

简介：在这篇论文，我们为多项式建立L~q不平等，它特别地产出一些Zygmund类型不平等的有趣的归纳。

简介：Lp(Rn)boundednessisconsideredforthemultilinearsingularintegraloperatordefinedbyTAf(x)=∫RnΩ(x-y)/|x-y|n+1(A(x)-A(y)-(△)A(y)(x-y))f(y)dy,whereΩishomogeneousofdegreezero,integrableontheunitsphereandhasvanishingmomentoforderone.AhasderivativesoforderoneinBMO(Rn).WegiveasmoothnessconditionwhichisfairlyweakerthanthatΩ∈Lipα(Sn-1)(0＜α≤1)andimpliestheLp(Rn)(1＜p＜oo)boundednessfortheoperatorTA.Someendpointestimatesarealsoestablished.

简介：Wegiveanecessaryandsufficientconditionforanabstractintegration(Definition1)tobethegeneralDenjoyintegral(D-integral).Thisisarevisedversionoftheauthor'spaper[2].

简介：Thepaperdiscusseshowtoreducehighersingularityorderofaboundaryintegralequation.Theapproachwillbediscussedinsomedetailforplaneelasticity.Numericalresultsforthemeshesofunequallengthboundaryelementsarereported.Higherprecisionforbothdeflectionandforceisobtainedthanthatobtainedwithageneralboundaryelementmethod.