简介：Theinstabilityofboreholewallisalwaysadifficultquestionindrillingboreholeprogress.Itincreasesthecostofproductionandprolongsproductioncycle.Soithasasignificantresearchvalue.Consideringtheeffectofmudpressureandporepressureonthestabilityofboreholewall,thispaperestablishesamathmodelbyapplyingthetwo-dimensionalbondtheoryofBiot.Itappliesthemethodofthenumericalsimulationtoanalyzetheeffectofmudpressureandporepressureonthestabilityofboreholewall.Thesimulationresultsshowthatthemudpressureimposesgreatinfluenceonstressfieldandonthedeformationofboreholesoil,whichprovidesatheoreticalbasisduringthedrillingprocesstoavoidtheinstabilityoftheboreholeandtostudyhowtoselectreasonablemudandmudpressure.

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简介：TheimplementationofJapanesepost-warpoliciestowardsChinahasbeenthroughagraduallyshiftingprocess,chronologicallygoingfrompoliciesofanti-Chinasentiment,friendlycooperationandacombinationofcautionandcooperation.UnderthecontextoftheseadjustingpoliciestowardsChina,thenationalpoliticalenvironmentandtheAmericanpowerofdiscoursehavebothsignificantlyaffectedJapaneseauthorities.Atthesametime,commoneconomicinterestandcautionconcerningChina’scompetitivenesshavealwaysbeenastableconsideration.

简介：Inthispaper,usingcapacitytheoryandextensiontheoremofLipschitzfunctionswefirstdiscusstheuniquenessofweaksolutionofnonhomogeneousquasilinearellipticequationsinspaceW(θ,p)(Ω),whichisbiggerthanW1,p(Ω).Next,usingrevisereverseHolderinequalityweprovethatifωcisuniformlyp-think,thenthereexistsaneighborhoodUofp,suchthatforallt∈U,theweaksolutionsofequationcorrespondingtareboundeduniformly.Finally,wegetthestabilityofweaksolutionsonexponentp.

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简介：Thecompletesolutionsoftheuprightandobliquepermanentrotationsofasymmetricheavygyroscopewithperfectdissipationaregiven.TheasymptoticstabilitycriteriaandunstabilitycriteriafortheserotationsinthesenseofLiapunovandthesenseofMovchanarealsogivenonthebasisofexactnonlinearmotionequationsrespectively.Therelatedobliquerotationsarenon-isolated.Themainsubdomainsofthere-gionsofasymptoticstabilityareobtained.Therelatedbifurcationphenomenaarediscussedindetail.

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简介：Thispaperpresentsthestabilityofdifferenceapproximationsofanoptimalcontrolproblemforaquasilinearparabolicequationwithcontrolsinthecoefficients,boundaryconditionsandadditionalrestrictions.Theoptimalcontrolproblemhasbeenconveredtooneoftheoptimizationproblemusingapenaltyfunctiontechnique.Thedifferenceapproximationsproblemfortheconsideredproblemisobtained.Theestimationsofstabilityofthesolutionofdifferenceapproximationsproblemareproved.Thestabilityestimationofthesolutionofdifferenceapproximationsproblembythecontrolsisobtained.

简介：在前面的飞行的一只土蜂的纵的动态飞行稳定性被学习。计算液体动力学的方法被用来计算空气动力学的衍生物和特征值的技术，特徵向量分析为解决运动的方程被采用。主要调查结果作为下列。土蜂的前面的飞行不由于一个的存在是动态地稳定的(或二)不稳定或近似中立马厩天赋模式打手势。在徘回到中等飞行速度[飞行速度ue=(03.5)ms−1；预付比率J=00.44]，飞行是弱不稳定的或近似中立马厩；以高速度(ue=4.5ms−1；J=0.57)，飞行变得强烈不稳定(在仅仅3.5翅膀的两倍它的价值打败的起始的骚乱)。

简介：Usingtime-dependentcompressiblelaminarNavier-Stokesequationswithafinitevolumemethodincorporatingathird-order-accuratediscretizationscheme,theflowstructuresaroundaslenderatcertainincidencesarenumericalsimulatedandtypicalcrossflowpatternsarepresented.Atincidence10°,thesevorticalconfigurationsaredifferentatdissimilaraxiallocationsthoughtheyaresymmetric.At35°,thesymmetricvorticalstructuresstillmaintainovertheslender,yettheirinteractionatafterbodyisintensethanthatattheforebodysincethetwovorticeshavefullydevelopeddownstream.Theunstabletopologicalstructureoftrajectoryofsaddle-to-saddlepointsandmultiplelimitcyclearefurtherdiscussedintopologicalstabilitytheory.Thesestructureseasilyproducebifurcationwithperturbation.Theresultssupporttheviewofhydrodynamicinstabilityofvorticesflowfield.

简介：Thispaperdealswiththenumericalsolutionofinitialvalueproblemsforpantographdifferentialequationswithvariabledelays.Weinvestigatethestabilityofonelegθ-methodsinthenumericalsolutionoftheseproblems.Sufficientconditionsfortheasymptoticstabilityofθ-methodsaregivenbyFourieranalysisandErgodictheory.

简介：自从环境能力并且象陆地实际上联系了的居民一样可耕全部的平衡，斜坡为各种各样的工程构造正在成为越来越重要的选择。因为斜坡的地质的复杂性，设计和基于斜坡的设计的决策仍然不是实际的完全依靠理论分析和数字计算，但是主要在专家的经验上。因此，它有重要实际意义把一些成功的经验变成数学方程。在在云南设计构造盒子的丰富的典型斜坡之上基于，西南的中国，为分析斜坡稳定性的3个方法在这篇论文被开发了。首先，为分析斜坡稳定性的通信类似的数学方程通过案例研究被建立了。然后，当7个主要影响因素被采用时，人工的神经网络和multivariate回归分析也被建立了。

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简介：CellularNeuralNetworks(CNN)withfeedbackmodeandM×Ncellsareequivalenttoanetworkwhichpossesses2M×Ncells,aneighborhoodwithmirror-likestructure,space-varianttemplatesandwithoutfeedbackaswellaswithoutinputtemplates.ThestabilityoftheCNNwithfeedbackmodeandtransformationswiththeneighborhoodofmirror-likestructurearediscussed.

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简介：KAMtheoremofreversiblesystemisusedtoprovideasufficientconditionwhichguaranteesthestabilityofaparabolicfixedpointofreversiblemappings,Themainideaistodiscusswhentheparabolicfixedpointissurroundedbyclosedinvariantcarvesandthusexhibitsstablebehaviour.

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简介：Anewmethodforanalyzingdynamicsofcontinuousneuralnetworksisproposed,andthenecessaryconvergenceconditionsforaclassofassociativenetworksareobtained.Basedonthestabilitycriterionandtheequationsofequilibriumsetofthenetwork,synthesisofaclassofassociativeneuralnetworksisgiven.Thestabilitycontrolmodelofasymmetricunstablenetworksissuggested,whichisalsoavalidwayforoptimizationanddynamiccontrolofstableneuralnetworks.

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