简介：TheV^t-integralasdefinedin[2],whichiseqnivalenttoM^2-integrslasdefinedinTrigonometreseriesbyZygmundisusedtosumtrigonometricseiesin[1].Inthispaper,someconvergenttheoremsofV^2-integralareestablished.

简介：Thedelaydifferentialequationwithpiecewiseconstantargumentx′(t)+a(t)x(t)+b(t)x([t-k])=0isconsidered,wherea(t)andb(t)arecontinuousfunctionson[—k,∞),b(t)≥0,kisapositiveintegerand[·]denotesthegreatestintegerfunction.Somenewoscillationandnonoscillationconditionsareobtained.

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简介：Abstract.Inthispaper,theforcedoddorderneutraldifferentialequationsoftheformarecon-sidered

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简介：Inthispaperweinvestigatetheoscillatorypropertyofthesolutionsofaclassorparaboncpartialfunctionaldifferentialequationswithcontinuousdistrbuteddeviatingarguments.

简介：为有抑制Δ~2x_n+p_nΔx_n+F的非线性的延期差别方程的一些新摆动标准(n，x_(n-τ)，Δx_(n-σ))=0，n=0,1,2，...，(*)被给。我们的结果部分解决摆姿势在的开的问题[数学。Bohemica，125(2000)，421-430]。另外，我们将为(*)的特殊情况建立一些新摆动标准，它在文学改进一些知道thewell的结果。

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简介：1.IntroductionConsiderthefirstorderdifferentialequationwithdeviatingargUmelltTheoscillationofEq.(1)wasstudiedextensivelyinthelastthreedecades.See,forexamDleif--101andthereferencescitedtherein.In1972Ladas.LakshlnhanthamanddeceivedApril1,1997.Re~AugUBt...

简介：WestudythehomogenizationoftheincompressibleNavier-Stokesequationswithperiodicoscillatingcoefficientinaboundednon-homogeneousmedia.Todothat,weintroduceageneralizedcompensatecompactnessresultandasuitableclassoftestfunctiontothisproblem.Bypassingthelimit,weobtainthehomogenizedmodelofthisproblem.

简介：Byusingtherefinementofthestandardintegralaveragingtechnique,weobtainsomeoscillationcriteriaforsecondordermixednonlinearellipticequations.Theresultsestablishedinthispaperextendandimprovesomeexistingoscillationcriteriaforhalf-linearPDEintheliterature.

简介：Thispaperinvestigatesaclassofevenorderfunctionaldifferentialequationswithdampedterm,andderivestwonewoscillatorycriteriaofsolution.

简介：Abstract.Inthispaper,theoscillationcriteriaforthesolutionsofthenonlineardifferentiale-quationsofneutraltypeoftheforms:

简介：ByRiccatitransformation,weestablishsomenewoscillationcriteriaforaclassofevenorderdelaydifferentialequationswithnonlinearterm.Insomesense,theresultsobtainedextendsomeknownresultsintheliterature.

简介：AclassofnonlinearcoupledsystemforElNino-SouthernOscillation(ENSO)modelisconsidered.Usingtheasymptotictheoryandmethodofvariationaliteration,theasymptoticexpansionofthesolutionforENSOmodelsisobtained.

简介：Thispaperdiscussestheoscillationofsolutionsforsystemsofnonlinearneutraltypeparabolicpartialfuctionaldifferentialequationsoftheform

简介：一些新摆动标准为秒顺序矩阵被建立微分系统(r(t)Z“(t))”+p(t)Z“(t)+Q(t)F(Z”(t))G(Z(t))=0，t≥t_0>0，与在他们基于的意义的大多数已知的不同仅仅子区间的一个序列的信息[t_0，∞)，而非在整个一半线上。结果削弱条件ofQ(t)并且概括Wong(1999)的一些著名结果到非线性的矩阵微分方程。

简介：Inthispaper,weconsiderthefollowingsecondorderretardeddifferentialequationsx″(t)+cx′(t)=qx(t-σ)-lx(t-δ)(1)x″(t)+p(t)x(t-τ)=0(2)WegivesomesufficientconditionsfortheoscillationofallsolutionsofEq.(1)inthecasewhereq,ι,σ,δarepositivenumbersandcisarealnumber.Andalso,westudytheasymptoticbehaviorofthenonoscillatorysolutions.Ifnecessary,wegivesomeexamplestoillustrateourresults.Atlast,westudyEq.(2)withsomeconditionsonp(t).

简介：InthispaperweestablishtheoscillationinequalityofharmonicfunctionsandHlderestimateofthefunctionsinthedomainoftheLaplacianonconnectedpostcriticallyfinite(p.c.f.)self-similarsets.

简介：Considerthehigher-orderneutraldelaydifferentialequationdt/dtn（x（t）+sumfromi=1tolpix（t-τi）-sumfromj=1tomrjx（t-ρj））+sumfromk=1toNqkx（t-uk）=0,（A）wherethecoefficientsandthedelaysarenonnegativeconstantswithn≥2even.Thenanecessaryandsufficientconditionfortheoscillationof（A）isthatthecharacteristicequationλn+λnsumfromi=1tolpie-λτi-λnsumfromj=1tomrje-λρj+sumfromk=1toNqke-λρk=0hasnorealroots.