简介：Inthispaper,wepresentanecessaryandsufficientconditionthattheperturbedmonomialmappingisergodiconasphereSp^-1(1),whichisinacombinationwithAnashin'searlierresultsabouttheperturbedmonomialergodicmappingsonasphereSp^-r(1),r>1,completelysolveaproblemposedbyA.Khrennikovabouttheergodicityofaperturbedmonomialmappingonasphere.

简介：Inthispaper,thecLassicaLriskprocessperturbedbydiffusionisgenera]izedbyalLowingfor"sizefluctuation"andthertl[nprobabiLityforthisnewmodelisdlscussed.

简介：Singularlyperturbedproblemsforthenonlineardliptiesystemsinastripdomainareconsidered.Undersuitablaconditions,byusingthecomparisontheorem,theexistenceandasymptoticbehaviorofsolutionfortheboundaryvalueproblemsarestudied.

简介：Thesingularlyperturbednonlinearboundaryvalueproblemsareconsidered.Usingthestretchedvariableandthemethodofboundarylayercorrection,theformalasymptoticexpansionofsolutionisobtained.Andthentheuniformvalidityofsolutionisprovedbyusingthedifferentialinequalities.

简介：ＡＣＬＡＳＳＯＦＳＩＮＧＵＬＡＲＬＹＰＥＲＴＵＲＢＥＤＮＯＮＬＩＮＥＡＲＲＯＢＩＮＰＲＯＢＬＥＭＳＺｈａｏＷｅｉｌｉ（赵为礼）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ．ＪｉｌｉｎＵｎｉｖｅｒｓｉｔｙ，Ｃｈａｎｇｃｈｕｎ１３００２３，Ｃｈｉｎａ...

简介：这份报纸在其解决方案polynomially至多成长的切换的政体下面考虑一个给定的中立功能的系统。系统能容忍如果系统服从于另一环境噪音，保存多项式生长的Brownian噪音和颜色噪音吗？答案是积极的。这份报纸一起显示那环境噪音和政体切换工作让其答案polynomially至多成长的原来的中立微分系统成为答案的一个新中立功能的微分系统将仍然保存多项式生长。这显示这个中立功能的微分系统能容忍没有失去多项式生长的性质的小噪音，它暗示坚韧性。这份报纸也证明标准对作为功能的系统的一种特殊情况的中立延期系统合适。最后，二个例子被给说明主要理论。

简介：Aclassofsingularlyperturbedboundaryvalueproblemwithsingularitiesisconsidered.Introducingthestretchedvariables,theboundarylayercorrectivetermsnearx=0andx=1areconstructed.Undersuitableconditions,byusingthetheoryofdifferentialinequalitiestheexistenceandasymptoticbehaviorofsolutionforboundaryvalueproblemareproved,uniformlyvalidasymptoticexpansionofsolutionwithboundarylayersareobtained.更多还原

简介：Inthispaper,weareconcernedwithuniformsuperconvergenceofGalerkinmethodsforsingularlyperturbedreaction-diffusionproblemsbyusingtwoShishkin-typemeshes.Basedonanestimateoftheerrorbetweensplineinterpolationoftheexactsolutionanditsnumericalapproximation,aninterpolationpost-processingtechniqueisappliedtotheoriginalnumericalsolution.Thisresultsinapproximationexhibitsuperconvergencewhichisuniformintheweightedenergynorm.Numericalexamplesarepresentedtodemonstratetheeffectivenessoftheinterpolationpost-processingtechniqueandtoverifythetheoreticalresultsobtainedinthispaper.

简介：Inthispaper,aclassofriskprocessesperturbedbydiffusionareconsidered.TheLundberginequalitiesfortheruinprobabilityareobtained.ThesizeoftheLundbergexponentsfordifferentkindsofriskmodeliscompared.Thenumericalillustrationfortheimpactoftheparametersontheruinprobabilityisgiven.

简介：在一个磁场使击碎的磁电的身体变形在裂缝附近导致一个使不安的磁场。在在裂缝附近的这块使不安的地和压力之间的量的关系在开发基于磁力的非破坏性的测试技术的新一代是关键的。在这份报纸，使不安的磁场的分析表情由在一个弱外部磁场包含一个集中的裂缝的一个无限的铁磁性的有弹性的盘子的结构的变丑导致了被使用线性化的磁电的理论和Fourier变换方法获得。主要发现是使不安的磁场紧张与应用张力的压力成正比，并且被排水量坡度在磁电的固体的边界上统治。裂缝附近的使不安的磁场的紧张的正切的部件沿着越过它的二张脸严厉地颠倒它的方向的裂缝展出反对称的分布，当正常部件在裂缝尖端与单个点沿着裂缝显示出对称的分布时。

简介：Abstract.Thesingularlyperturbedproblemsforellipticsystemsinunboundeddomainsareconsidered.Undersuitableconditionsandbyusingthecomparisontheoremtheexistenceandasymptoticbehaviorofsolutionfortheboundaryvalueproblemsstudied,

简介：Thesingularlyperturbedboundaryvalueproblemforthenonlinearboundaryconditionsisconsidered.Undersuitableconditions,theasymptoticbehaviorofsolutionfortheoriginalproblemsisstudiedbyusingtheoryofdifferentialinequalities.

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简介：ThedynamicalcharacterforaperturbedcouplednonlinearSchrodingersystemwithperiodicboundaryconditionwasstudied.First,thedynamicalcharacterofperturbedandunperturbedsystemsontheinvariantplanewasanalyzedbythespectrumofthelinearoperator.Thentheexistenceofthelocallyinvariantmanifoldswasprovedbythesingularperturbationtheoryandthefixed-pointargument.

简介：这篇论文与交换路径使不安处理交换线性系统的稳定性问题。首先，由介绍孩子路径的观点；父母路径，我们能定义在二之间的距离借助于他们的切换的矩阵链交换路径。下次，我们在场定义距离的好性质。然后，一个稳定性标准与交换路径使不安为交换线性系统的一个类被介绍。最后，一个解说性的例子被举验证途径的有效性。

简介：为椭圆形的方程被考虑的semilinear的不可思议地使不安的边界价值问题。在合适的条件下面并且由使用固定的点定理，存在，唯一和边界值的答案的asymptotic行为，问题被学习。

简介：TheAdomiandecompositionmethodisusedtosolvetheCauchyproblemoftheperturbedKdVequation.ThreetypesofexactsolitarywavesolutionsarereobtainedviatheAdomian'sapproachbyselectingtheinitialconditionsappropriately.

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简介：Aclassofnonlinearsingularlyperturbedproblemsforreactiondiffusionequationsareconsidered.Undersuitableconditions,byusingthetheoryofdifferentialinequalities,theasymptoticbehaviorofsolutionsfortheinitialboundaryvalueproblemsarestudied,reducedproblemsofwhichpossesstwointersectingsolutions.