简介：Byconsideringthepropertiesoff(t,u,v)/u+v,g(t,u,v)/u+v,weshovthemultiplicityofatleasttwopositivesolutionsoftheellipticsystem.

简介：让我是积极合理数字的间隔。然后集合S(I)=T鈭??在T是submonoid的地方?0+，+)由T产生了，是数字semigroup。这些数字semigroups被叫按比例模块化并且能作为形式斧子的Diophantine不平等的整数答案的集合被描绘现代派的b鈮?cx。在这份报纸，我们在我使遭到到S(I)有的条件的最大的间隔的学习感兴趣给定的复合。我们也描绘与这些最大的间隔联系的数字semigroups。关键词数字semigroup-Diophantine不平等-复合-Frobenius数字先生(2000)题目分类11D75-11D04-第一写作的20M14被工程MTM2004-01446和FEDER资金支持；纸被Luso-Espanhola行动HP2004-0056支持

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简介：Risler&Trotmanin1997provedthatthemultiplicityofananalyticfunctiongermisleft-rightlipschitzinvariant,whichprovidedapartialanswertoZariskiconjecture.Inthisnote,basedontherecentworkofComte,Milman&Trotman,wegeneralizetheworkofthemtoprovethatthemultiplicityofaC~∞-differentiablefunctiongermisalsoleft-rightlipschitzinvariant.

简介：WeprovidesufficientconditionsfortheexistenceandmultiplicityofsubharrnonicsolutionsforDuffing’sequationswithjumpingnonlinearities.

简介：这份报纸为形式u的有弹性的横梁方程调查边界价值问题“”(t)=q(t)f(t，u(t)u吗？？

简介：Firstly,weuseNeharimanifoldandMountainPassLemmatoproveanexistenceresultofpositivesolutionsforaclassofnonlocalellipticsystemwithKirchhofftype.ThenamultiplicityresultisestablishedbycohomologicalindexofFadellandRabinowitz.Wealsoconsiderthecriticalcaseandproveexistenceofpositiveleastenergysolutionwhentheparameterβissufficientlylarge.

简介：ThispaperdealswiththeexistenceandmultiplicityofperiodicsolutionsofDuffingequationsx+g(x)=p(t),TheauthorprovesaninfinityofperiodicsolutionstotheperiodicallyforcednonlinearDuffingequationsprovidedthatg(z)satisfiesthegloballylipschitzianconditionandthetime-mappingsatisfiestheweakeroscillatingproperty.

简介：ＭＵＬＴＩＰＬＩＣＩＴＹＲＥＳＵＬＴＳＦＯＲＡＦＯＵＲＴＨ－ＯＲＤＥＲＢＯＵＮＤＡＲＹＶＡＬＵＥＰＲＯＢＬＥＭＭａＲｕｙｕｎ（马如云）ＭａＱｉｎｓｈｅｎｇ（马勤生）（ＲｅｃｅｉｖｅｄＯｃｔ．５．１９９４：ＣｏｍｍｕｎｉｃａｔｅｄｂｙＬｉｎＺｏｎｇｃｈ...

简介：在这份报纸，我们考虑下列非线性的椭圆形的问题：2u=|u|8n−4u+|u|q−1u，在里面u=u=0在∂ 上；一跳并且在Rn的光滑的领域，n∈{5,6,7}Rn，n∈{5,6,7}， ；是一个参数和q ∈]4/(n−4)，(12−n)/(n−4)[q ∈]4/(n−4)，(12−n)/(n−4)[。我们学习在二个点附近专注的答案。我们证明集中速度是一样的顺序和从对方的集中点的距离并且从边界被围住。为=()光滑的ringshaped开的集合，我们证实在二点专注的积极答案的存在指。最后，我们显示出那为>0，足够大，这个问题作为Ljusternik-Schnirelman范畴有至少许多积极答案。

简介：Inthispaper,weconsiderthefollowingproblem{-Δu(x)+u(x)=λ(u~p(x)+h(x)),x∈R~N,u(x)∈h~1(R~N),u(x)>0,x∈R~N,(*)whereλ>0isaparameter,p=(N+2)/(N—2).Wewillprovethatthereexistsapositiveconstant0λ*,auniquesolutionforλ=λ*.Furthermore,(*)possessesatleasttwopositivesolutionswhenλ∈(0,λ*)and3≤N≤5.ForN≥6,undersomemonotonicityconditionsofhweshowthatthereexistsaconstant0

简介：ThepurposeofthispaperistoconstructanorthogonalArmletmulti-waveletswithmul-tiplicityranddilationfactora.Firstly,thedefinitionofArmletswithdilationfactoraisproposedinthispaper.BasedontheTwo-scaleSimilarTransform(TST),thenotionofthePara-unitaryA-scaleSimilarTransform(PAST)isintroduced,andwealsogivethetransformonthealltwo-scalematrixsymbolsofthemulti-waveletswithdilationa.ThenweshowthatthePASTandthetransformonthematrixsymbolsofthemulti-waveletskeeptheorthogonalityofthemulti-waveletssystem.Wediscusstheconditionthatmulti-waveletscorrespondingtothemulti-scalingfunctionsareallArmlets.AfterperformingthePASTandthetransformonthematrixsymbolsofthemulti-wavelets,themulti-scalingfunctioncanbebalancedandthecorrespondingmulti-waveletscanbeArmletsatthesametime.TheconstructionofArmletswithhighorderisalsodiscussed.Atlast,byagivenexample,wecanconcludethatthealgorithmisfeasibleandefficient.

简介：Inthispaper,weestablisharesultofLeray-Schauderdegreeontheorderintervalwhichisinducedbyapairofstrictloweranduppersolutionsforasystemofsecond-orderordinarydifferentialequations.Asapplications,weprovetheglobalexistenceofpositivesolutionsforamulti-parametersystemofsecond-orderordinarydifferentialequationswithrespecttoparameters.ThediscussionisbasedontheresultofLeraySchauderdegreeontheorderintervalandthefixedpointindextheoryincones.

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简介：Self-affinemultiplicityfluctuationisinvestigatedbyusingthetwo-dimensionalfactorialmomentmethodologyandtheconceptoftheHurstexponent(H).Investigationontheexperimentaldataofcompoundparticlesandtargetfragmentsemittedin84Kr-AgBrinteractionsat1.7AGeVrevealsthatthebestpowerlawbehavioursareexhibitedatH=0.7and0.6respectively,andthedataforshowerparticlesproducedin84Kr-emulsioninteractionsat1.7AGeVindicatethatthebestpowerlawbehaviouroccursatH=0.6,allofwhichshowtheself-affinemultiplicityfluctuationpatterns.Themultifractalityandthenon-thermalphasetransitionoccurringduringproducingthecompoundparticles,thetargetfragments,andtheshowerparticlesinthe84Kr-AgBrinteractionandthe84Kr-emulsioninteractionarealsodiscussed.Themultifractalityisobservedduringproducingcompoundparticles,targetfragments,andshowerparticles.Inthetargetfragmentproduction,anevidenceofnon-thermalphasetransitionisobserved,butintheshowerparticleproductionandthecompoundparticleproduction,noevidenceofnon-thermalphasetransitionisobserved.

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