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简介：Oneofthemostinterestingproblemsofnonlineardifferentialequationsistheconstructionofpartialsolutions.Anewmethodispresentedinthispapertoseekspecialsolutionsofnonlineardiffusionequations.ThismethodisbasedonseekingsuitablefunctiontosatisfyBernolliequation.Manynewspecialsolutionsareobtained.

简介：在这篇论文，我们考虑在双线性的模型减小产生的一个概括Lyapunov方程的低等级近似答案。由使用变化原则，低等级近似答案问题被转变成一个非强迫的优化问题，然后我们使用非线性与准确的线搜索结合坡度方法解决相等的非强迫的优化问题。最后，一些数字例子被举说明建议方法的有效性。[从作者抽象]

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简介：Inthispaper,anewclassofsolutionsofthevacuumEinstein'sfieldequationswithcosmologicalconstantisobtained.Thisclassofsolutionspossessesthenakedphysicalsingularity.ThenormoftheRiemanncurvaturetensorofthisclassofsolutionstakesinfinityatsomepointsandthesolutionsdonothaveanyeventhorizonaroundthesingularity.

简介：Inthispaperwestudytheexistenceofinfinitelymanyperiodicsolutionsforsecond-orderHamiltoniansystems{ü(t)+A(t)u(t)+▽F(t,u(t))=0,u(0)-u(T)=(0)-(T)=0,whereF(t,u)iseveninu,and▽(t,u)isofsublineargrowthatinfinityandsatisfiestheAhmad-Lazer-Paulcondition.

简介：Inthispaper,weareconcernedwiththeexistenceofperiodicsolutionsofsecond-ordernon-autonomoussystems.ByapplyingtheSchauder'sfixedpointtheoremandMiranda'stheorem,anewexistenceresultofperiodicsolutionsisestablished.

简介：Inthispaper,westudythenonexistenceandlongtimebehaviorofweaksolutionforthedegenerateparabolicequation?_tu~n=u~mdiv(|▽_u~m|~(p-2)▽u~m)+γ|▽u~m|~p+βu~nwithzeroboundarycondition.Blow-uptimeisderivedwhentheblow-updoesoccur.

简介：CombinedwithTRMMproductsandTropicalCyclone(TC)besttrackdatainNorthwestPacificfrom1January2003to31December2009,atotalof118TCs,including336instantaneousTCprecipitationobservationsareestablishedastheTRMMTCdatabase,andthedatabaseisstratifiedintofourintensityclassesaccordingtothestandardofTCintensityadoptedbyChinaMeteorologicalAdministration(CMA):SevereTropicalStorm(STS),Typhoon(TY),SevereTyphoon(STY)andSuperTyphoon(SuperTY).ForeachTCsnapshot,themeanrainfalldistributioniscomputedusing10-kmannulifromtheTCcentertoa300-kmradius,thentheaxisymmetriccomponentofTCrainfallisrepresentedbytheradialdistributionoftheazimuthalmeanrainrate;themeanrainrates,raintypesoccurrenceandcontributionproportionarecomputedforeachTCintensityclass;andthemeanquadrantaldistributionofrainratesalongTCsmotionisanalyzed.Theresultshowsthat:(1)TCsmeanrainratesincreasewiththeirintensityclasses,andtheirradialdistributionsshowsingle-peakcharacteristicgradually,andfurthermore,thecharacteristicsofrainratesoccurrenceandcontributionproportionchangefromdual-peaktosingle-peakdistribution,withthepeakrainrateatabout5.0mm/h;(2)Stratiformraindominatetheraintypeintheanalysiszone,whileconvectiverainmainlyoccurredintheeye-wallregion;(3)ThevaluesofmeanrainrateineachquadrantalongTCsmotionareclosetoeachother,relatively,thevalueintheright-rearquadrantisthesmallestone.

简介：Inthispaper,bifurcationofsmallamplitudelimitcyclesfromthedegenerateequilibriumofathree-dimensionalsystemisinvestigated.Firstly,themethodtocalculatethefocalvaluesatnilpotentcriticalpointoncentermanifoldisdiscussed.Thenanexampleisstudied,bycomputingthequasi-Lyapunovconstants,theexistenceofatleast4limitcyclesonthecentermanifoldisproved.Intermsofdegeneratesingularityinhigh-dimensionalsystems,ourworkisnew.

简介：Inthispaper,aclassofparameter-freefilledfunctionsisproposedforsolvingbox-constrainedsystemofnonlinearequations.Firstly,theoriginalproblemisconvertedintoanequivalentglobaloptimizationproblem.Subsequently,aclassofparameter-freefilledfunctionsisproposedforsolvingtheproblem.Somepropertiesofthenewclassoffilledfunctionsarestudiedanddiscussed.Finally,analgorithmwhichneithercomputesnorexplicitlyapproximatesgradientsduringminimizingthefilledfunctionsispresented.Theglobalconvergenceofthealgorithmisalsoestablished.Theimplementationofthealgorithmonseveraltestproblemsisreportedwithsatisfactorynumericalresults.

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简介：CLASS是人们对师生之间的互动质量的一种评价工具,主要是针对幼儿教育,可以对教师的教学质量有一个明确的判断与分析。本文主要分析了在CLASS评价下教师运用情境教学方法应注意的一些问题。

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