简介:MODIFIEDINTEGRAL-FACTORMETHODFORSTEADYCONVECTION-DIFFUSIONEQUATIONSXinXiao-hang;WangHao;HuoYi(DepartmentofAppliedMechanics,Fu...
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: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.
简介:ThestressrateintegralequationsofelastoplasticityarededucedbasedonRef.[1]byconsistentmethods.Thepointatwhichthestressesand/ordisplacementsarecalculatedcanbeinthebodyorontheboundary,andintheplasticregionorelasticone.Theexistenceoftheprincipalvalueintegralintheplasticregionisdemonstratedstrictly,andthetheoreticalbasisispresentedforthepaticularsolutionmethodbyunitinitialstressfields.Inthepresentmethod,programmingiseasyandgeneral,andthenumericalresultsareexcellent.
简介:Inthispaper,asimplebutinherentrelationbetweentheL-integralandtheBueeknerworkconjugateintegralisprovedforcrackproblemsinisotropic,anisotropic,anddissimilarmateri-als,respectively.Itisfoundthat,intheabove-mentionedthreecases,theL-integral,fromthemath-ematicalpointofviewaswellasinprinciple,arisesfromBetti’sreciprocaltheorem.ThismeansthattheBuecknerworkconjugateintegralisamoregeneralpath-independentintegralthantheotherssinceanyotherpath-independentintegralscouldbederivedbyusin8theBuecknerintegralwhilechoosingadifferentsubsidiarystress-displacementfield.
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:Thepaperdiscusseshowtoreducehighersingularityorderofaboundaryintegralequation.Theapproachwillbediscussedinsomedetailforplaneelasticity.Numericalresultsforthemeshesofunequallengthboundaryelementsarereported.Higherprecisionforbothdeflectionandforceisobtainedthanthatobtainedwithageneralboundaryelementmethod.
简介:ThedipoleprototypeisCtypeusedasbendingmagnetoftheinjectionbeamlineinCSR,andactsasamodelofthedipolesintheCSRmainringsimultaneously.Thedesignedrelativeuniformityofgoodfieldis0.001in100mmwidth.Theresultsofthelocaldistributionandtransfunctionattransverseprofilemeasured
简介:Itisstandardpractice,wheneveraresearcherfindsanewgene,tosearchdatabasesforgenesthathaveasimilarsequence.Itisnotstandardpractice,wheneveraresearcherfindsanewgene,tosearchforgenesthathavesimilarexpression(coexpression).Failuretoperformco-expressionsearcheshasleadtoincorrectconclusionsaboutthelikelyfunctionofnewgenes,andhasleadtowastedlaboratoryattemptstoconfirmfunctionsincorrectlypredicted.WepresentheretheexampleofGliaMaturationFactorgamma(GMF-gamma).Despiteitsname,ithasnotbeenshowntoparticipateingliamaturation.ItisageneofunknownfunctionthatissimilarinsequencetoGMF-beta.ThesequencehomologyandchromosomallocationledtoanunsuccessfulsearchforGMF-gammamutationsinglioma.WeexaminedGMF-gammaexpressionin1432humancDNAlibraries.Highestexpressionoccursinphagocytic,antigen-presentingandotherhematopoieticcells.WefoundGMF-gammamRNAinalmosteverytissueexamined,withexpressioninnervoustissuenohigherthaninanyothertissue.OurevidenceindicatesthatGMF-gammaparticipatesinphagocytosisinantigenpresentingcells.Searchesforgeneswithsimilarsequencesshouldbesupplementedwithsearchesforgeneswithsimilarexpressiontoavoidincorrectpredictions.
简介:Integralcollisionkerneliselucidatedusingexperimentalresultsfortitania,silicaandaluminananoparticlessynthesizedbyFCVDprocess,andtitaniasubmicronparticlessynthesizedinatubefurnacereactor.Theintegralcollisionkernelwasobtainedfromaparticlenumberbalanceequationbytheintegrationofcollisionratesfromthekinetictheoryofdilutegasesforthefree-moleculeregime,fromtheSmoluchowskitheoryforthecontinuumregime,andbyasemi-empiricalinterpolationforthetransitionregimebetweenthetwolimitingregimes.Comparisonshavebeenmadeonparticlesizeandtheintegralcollisionkernel,showingthatthepredictedintegralcollisionkernelagreedwellwiththeexperimentalresultsinKnudsennumberrangefromabout1.5to20.
简介:我们为积极的任何一个或Urysohn不可分的方程的非零答案的存在建立新标准。我们也为Urysohn不可分的操作员与非零或积极特徵函数为至少一个积极特征值的存在讨论积极特征值和足够的条件的间隔的存在。在其它之中,我们为紧缩的地图基于固定的点索引理论采用技术,它为这类方程是新的。关键词Urysohn不可分的方程-积极答案-特征值先生(2000)题目分类45G10-47H10-47H30第一和第三个作者被MinisteriodeCienciayTecnolog铆a(西班牙)部分地支持了MTM2004鈥?06652鈥揅03鈥?3
简介:为多线性的单个不可分的操作员的空间L~∞(R~n)上的行为由T_Af(x)=∫_(R~n)(Ω(x-y)定义)/(|x-y|~(n+1))((x)-(y)-▽A(y)(x-y))f(y)在Ω度零是同类的的地方,dyis考虑了,联合起来的范围上的integrable并且有顺序一的消失的时刻,A有在BMO(R~n)的顺序一的衍生物。如果Ωsatisfies一些最小尺寸状况和L~1-Dini打整齐状况,它被证明那,那么为f∈L~∞(R~n),T_Af到处几乎是也无限的或有限几乎到处,并且在后者盒子中,T_af∈BMO(R~n)。