简介：Sufficientconditionsforthenonoscillatorysolutionsofaclassofthirdordernonlineardifferentialequationsarepresented.TheresultsobtainedgeneralizesomecriteriagivenbyParhi.Insomespecialca,ses,someoftheseresultscontainweakerconditions.

简介：Inthispaperweconsidertheeffectivereducibilityofthefollowinglineardifferentialequation:x=(A+∈Q(t,∈))x,|∈|≤∈0,whereAisaconstantmatrix,Q(t,e)isquasiperiodicint,andeisasmallperturbationparameter.WeprovethatiftheeigenvaluesofAandthebasicfrequenciesofQsatisfysomenon-resonantconditions,thelineardifferentialequationcanbereducedtoy=(A^*(∈)+R^*(t,∈))y,|∈|≤∈o,whereR^*isexponentiallysmallin∈.

简介：我们考虑零是全部功能的差别产品的衍生物的差别微分的多项式的分布。我们也调查分享普通的值的全部函数的差别微分的多项式的唯一问题。

简介：借助于Mawhins继续定理和一些分析方法，2kT-periodic答案的存在为中立功能的微分方程的一个班被学习，然后当上述周期的答案的某个随后的限制设定，一个homoclinic答案被获得。

简介：这份报纸学习nonconvex的一个班的系统稳定性问题微分包括。起初，基本稳定性结果被优点获得局部地，Lipschitz连续Lyapunov工作。而且，一个概括不变性原则和相关吸引力条件被建议并且证明了由于凸状的缺席克服技术困难。在技术分析，新奇珍视集合的衍生物被建议处理nonsmooth系统和nonsmoothLyapunov功能。另外，获得的结果与在有常规Lyapunov功能的凸的微分包括的情况中的存在的一致。最后，解说性的例子被给显示出方法的有效性。

简介：我们在场微分照(DQ)的申请为有指数地基于Euler-Bernoulli，Timoshenko，瑞迪，和Levison的四个不同横梁理论改变僵硬的nanobeams的弄弯的分析的方法。明确的表达基于Eringen的非局部的弹性理论。新结果被介绍为指导了并且简单地支持了指导边界条件。数字结果被获得在批评弄弯负担参数上调查非局部的参数，length-to-height比率，边界条件，和不一致的参数的效果。当批评弄弯负担参数随length-to-height比率的增加增加时，批评弄弯负担随非局部的参数的增加减少，这被观察当批评弄弯负担参数随length-to-height比率的增加增加时。

简介：复合微分电压比较仪(MDVC)的一个新奇图案为减少电流和电源驱散被介绍。根据关系操作和逻辑操作的特殊性质，比较仪的部分在一些例子是冗余的，并且能因此被关掉。由选择并且切换当前的线路，几有效的微分对被单个尾巴电流stage-by-stage偏导，冗余的比较仪被切他们的尾巴电流关掉。作为结果，静止电流和电源消费极大地被减少。切换电流被输入完成微分对晶体管自己和因此没有额外的开关被要求。当MDVC很快被使用时analog-to-digital变换器(模数转换器)，它的当前的驱散比常规比较仪的低得多。这体系结构能也为逻辑操作在窗户比较仪，最大或最小的比较仪，和比较仪被使用。在所有这些盒子中的电源驱散能显著地被减少。

简介：Thispaperinvestigatesaclassofevenorderfunctionaldifferentialequationswithdampedterm,andderivestwonewoscillatorycriteriaofsolution.

简介：AbstractBackground:Reports evaluating the efficacy of transcranial sonography (TCS) for the differential diagnosis of Parkinson disease (PD) and other movement disorders in China are scarce. Therefore, this study aimed to assess the application of TCS for the differential diagnosis of PD, multiple system atrophy (MSA), progressive supranuclear palsy (PSP), and essential tremor (ET) in Chinese individuals.Methods:From 2017 to 2019, 500 inpatients treated at the Department of Dyskinesia, Beijing Tiantan Hospital, Capital Medical University underwent routine transcranial ultrasound examination. The cross-sections at the midbrain and thalamus levels were scanned, and the incidence rates of substantia nigra (SN) positivity and the incidence rates of lenticular hyperechoic area were recorded. The echo of the SN was manually measured.Results:Of the 500 patients, 125 were excluded due to poor signal in temporal window sound transmission. Among the 375 individuals with good temporal window sound transmission, 200 were diagnosed with PD, 90 with ET, 50 with MSA, and 35 with PSP. The incidence rates of SN positivity differed significantly among the four patient groups (χ2 = 121.061, P < 0.001). Between-group comparisons were performed, and the PD group showed a higher SN positivity rate than the ET (χ2 = 94.898, P < 0.017), MSA (χ2 = 57.619, P < 0.017), and PSP (χ2 = 37.687, P < 0.017) groups. SN positivity showed a good diagnostic value for differentiating PD from the other three movement diseases, collectively or individually. The incidences of lenticular hyperechoic area significantly differed among the four patient groups (χ2 = 38.904, P < 0.001). Next, between-group comparisons were performed. The lenticular hyperechoic area was higher in the PD group than in the ET (χ2 = 6.714, P < 0.017) and MSA (χ2= 18.680, P < 0.017) groups but lower than that in the PSP group (χ2 = 0.679, P > 0.017).Conclusion:SN positivity could effectively differentiate PD from ET, PSP, and MSA in a Chinese population.

简介：Abstract.Inthispaper,theoscillationcriteriaforthesolutionsofthenonlineardifferentiale-quationsofneutraltypeoftheforms:

简介：Thispaperinvestigatestheexistenceofsolutionsofperiodicboundaryvalueproblemsfornonlinearsecondorderfunctionaldifferentialequations.Byestablishingcomparisonresults,criteriaontheexistenceofmaximalandminimalsolutionsareobtained.

简介：ＴＨＥＵＮＩＱＵＥＮＥＳＳＡＮＤＣＯＮＴＩＮＵＯＵＳＤＥＰＥＮＤＥＮＣＥＦＯＲＣＨＡＲＡＣＴＥＲＩＳＴＩＣＣＡＵＣＨＹＰＲＯＢＬＥＭＯＦＰＡＲＴＩＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＬｕａｎＷｅｎｇｕｉ（栾文贵）（ＣｏｍｐｕｔｉｎｇＣｅｎｔ...

简介：Abstract.Thispaperstudiesthefiniteelementmethodforsomenonlinearhyperbolicpartialdifferentialequationswithmemoryanddamplingterms.ACrank-Nicolsonapproximationforthiskindofequationsispresented.ByusingtheellipticRitzVolterraprojection,theanalysisoftheerrorestimatesforthefiniteelementnumericalsolutionsandtheoptimalH1-normerrorestimatearedemonstrated.

简介：Adiscretedifferentialevolutionalgorithmcombinedwiththebranchandboundmethodisdevelopedtosolvetheintegerlinearbilevelprogrammingproblems,inwhichbothupperlevelandlowerlevelvariablesareforcedtobeinteger.Anintegercodingforupperlevelvariablesisadopted,andthenadiscretedifferentialevolutionalgorithmwithanimprovedfeasibility-basedcomparisonisdevelopedtodirectlyexploretheintegersolutionattheupperlevel.Foragivenupperlevelintegervariable,thelowerlevelintegerprogrammingproblemissolvedbytheexistingbranchandboundalgorithmtoobtaintheoptimalintegersolutionatthelowerlevel.Inthesameframeworkofthealgorithm,twootherconstrainthandlingmethods,i.e.thepenaltyfunctionmethodandthefeasibility-basedcomparisonmethodarealsotested.Theexperimentalresultsdemonstratethatthediscretedifferentialevolutionalgorithmwithdifferentconstrainthandlingmethodsiseffectiveinfindingtheglobaloptimalintegersolutions,buttheimprovedconstrainthandlingmethodperformsbetterthantwocomparedconstrainthandlingmethods.

简介：

简介：在这篇论文，用微分不平等的理论，我们为integro微分的系统的一个班学习非线性的边界价值问题。在适当假设下面，答案的存在被证明并且一致地有效的asymptotic扩大为任意第n顺序近似和剩余物术语的评价简单地并且方便地被获得。

简介：Inthispaper,wemainlyinvestigateentiresolutionsofcomplexdifferentialequationswithcoefficientsinvolvingexponentialfunctions,andobtainthedynamicalpropertiesofthesolutions,theirderivativesandprimitives.Withsomeconditionsoncoefficients,forthesolutions,theirderivativesandtheirprimitives,weconsiderthecommonlimitingdirectionsofJuliasetandtheexistenceofBakerwanderingdomain.

简介：Theprinciplesandfeaturesofthepressure-liquidometerusingopticalfibersensor,whichissuitabletouseindangerousareas,aredescribed.Theinstrumentiseapeciallysuitableforautomaticdetectingofpressureandliquidlevelindangerousaslargesacleoiltanker,caveoiltanker,civicliquid-gastankerandsoon.

简介：Duetodramaticallyincreasinginformationpublishedinsocialnetworks,privacyissueshavegivenrisetopublicconcerns.Althoughthepresenceofdifferentialprivacyprovidesprivacyprotectionwiththeoreticalfoundations,thetrade-offbetweenprivacyanddatautilitystilldemandsfurtherimprovement.However,mostexistingstudiesdonotconsiderthequantitativeimpactoftheadversarywhenmeasuringdatautility.Inthispaper,wefirstlyproposeapersonalizeddifferentialprivacymethodbasedonsocialdistance.Then,weanalyzethemaximumdatautilitywhenusersandadversariesareblindtothestrategysetsofeachother.Weformalizeallthepayofffunctionsinthedifferentialprivacysense,whichisfollowedbytheestablishmentofastaticBayesiangame.Thetrade-offiscalculatedbyderivingtheBayesianNashequilibriumwithamodifiedreinforcementlearningalgorithm.Theproposedmethodachievesfastconvergencebyreducingthecardinalityfromnto2.Inaddition,thein-placetrade-offcanmaximizetheuser'sdatautilityiftheactionsetsoftheuserandtheadversaryarepublicwhilethestrategysetsareunrevealed.Ourextensiveexperimentsonthereal-worlddatasetprovetheproposedmodeliseffectiveandfeasible.

简介：左明确的微分操作员被学习的第四份订单的一个班的光谱。由在Krein空格使用不定的微分操作符的理论；在之间的关系左明确；权利明确的操作员，下列结论被获得：如果第四与一个自我伴随边界条件订微分操作员，那是左明确的；权利不定，当时，所有它的特征值是真实的，；在那里存在无穷地能干地数许多积极；下面无界从的否定特征值；上面，别让有限的簇指；能被索引满足不平等