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130 个结果
  • 简介:在这篇论文,我们与p拉普拉斯算符操作员获得积极答案到下列multi-pointsingular边界值问题p=|s|p-2s,p≥2;ξi∈?(0,1)(i=1,2,···,n),0≤αi,βi<1(i=1,2,···,n),并且q(t)可能在t=是单个的0,1;f(t,u,u′)可能在u′=是单个的0。

  • 标签: 多点边值问题 BVP 正解 奇异性 LAPLACIAN算子
  • 简介:AclassΦof5-dimensionalfunctionswasintroducedandanexistenceanduniquenessofcommonfixedpointsforafamilyofnon-selfmappingssatisfyingaφiquasi-contractiveconditionandacertainboundaryconditionwasgivenoncompletemetricallyconvexmetricspaces,andfromwhich,moregeneraluniquecommonfixedpointtheoremswereobtained.Ourmainresultsgeneralizeandimprovemanysametypecommonfixedpointtheoremsinreferences.

  • 标签: 唯一公共不动点 度量凸空间 非自映射 公共不动点定理 压缩型 非线性
  • 简介:尽管边界排水量和拖拉是处于在一个非退化的边界点的一个弹性问题的边界条件的独立的地变量,在那里存在在在一条单个边界的边界排水量衍生物和拖拉之间的奇特紧张的明确的关系指。在为2D的一个单个光滑的点的关系的分析表格各向同性的有弹性的问题在这个工作被建立了。由使用关系,单个边界点的位置和未知边界的相应奇特紧张回答变量能被决定priori。因此,未知边界的更适当的形状函数在单个元素回答变量能被构造。一个数字例子证明用发达理论的BEM分析的精确性极大地被增加。

  • 标签: 边界移位牵引 不连续性 奇异边界点 等方弹性问题 弱奇点
  • 简介:内核函数在为解决线性优化问题为最初双的内部点的算法定义新搜索方向起一个重要作用。在这篇论文我们在场与最好已知的复杂性产出一个算法的新核功能为大更改、小更改的方法跳了。

  • 标签: 原对偶内点算法 内核函数 迭代 让路 优化问题 搜索方向
  • 简介:Asystemofm(≥2)linearconvection-diffusiontwo-pointboundaryvalueproblemsisexamined,wherethediffusiontermineachequationismultipliedbyasmallparameterεandtheequationsarecoupledthroughtheirconvectiveandreactivetermsviamatricesBandArespectively.Thissystemisingeneralsingularlyperturbed.Unlikethecaseofasingleequation,itdoesnotsatisfyaconventionalmaximumprinci-ple.CertainhypothesesareplacedonthecouplingmatricesBandAthatensureexis-tenceanduniquenessofasolutiontothesystemandalsopermitboundarylayersinthecomponentsofthissolutionatonlyoneendpointofthedomain;thesehypothesescanberegardedasastrongformofdiagonaldominanceofB.Thissolutionisdecomposedintoasumofregularandlayercomponents.Boundsareestablishedonthesecompo-nentsandtheirderivativestoshowexplicitlytheirdependenceonthesmallparameterε.Finally,numericalmethodsconsistingofupwindingonpiecewise-uniformShishkinmeshesareprovedtoyieldnumericalsolutionsthatareessentiallyfirst-orderconver-gent,uniformlyinε,tothetruesolutioninthediscretemaximumnorm.NumericalresultsonShishkinmeshesarepresentedtosupportthesetheoreticalbounds.

  • 标签: 两点边值问题 对流扩散 异常扰动 连接系统
  • 简介:Inthispaper,ahighaccuracyfinitevolumeelementmethodispresentedfortwo-pointboundaryvalueproblemofsecondorderordinarydifferentialequation,whichdiffersfromthehighordergeneralizeddifferencemethods.Itisprovedthatthemethodhasoptimalorderer-rorestimateO(h3)inH1norm.Finally,twoexamplesshowthatthemethodiseffective.

  • 标签: second order ordinary differential equation TWO-POINT
  • 简介:Inthispaper,weintroducetheconceptofgeneralizedg-quasi-contractionsinthesettingofconeb-metricspacesoverBanachalgebras.Byomittingtheassumptionofnormalityweestablishcommonfixedpointtheoremsforthegeneralizedgquasi-contractionswiththespectralradiusr(λ)oftheg-quasi-contractiveconstantvectorλsatisfyingr(λ)∈[0,1/s)inthesettingofconeb-metricspacesoverBanachalgebras,wherethecoefficientssatisfiess≥1.Themainresultsgeneralize,extendandunifyseveralwell-knowncomparableresultsintheliterature.

  • 标签: BANACH B度量空间 广义锥 固定点 公共不动点定理 常数向量
  • 简介:由与链纠纷的不同的度准备同质的混合样品,我们报导链纠纷的异常贡献分阶段执行分离温度和介绍典型更低的批评答案温度LCST行为的polymethylmethacrylate/polystyrene-co-maleic酐PMMA/SMA混合的率。有更高的链纠纷密度的meltmixedPMMA/SMA混合介绍更低的云点Tc和更短的延期时间,而是更低的阶段分离比答案演员组在给定的温度评价,为聚合物建议那与不同压缩状态相配结构,热力学地,分阶段执行分离的更多的容易降低Tc未必等价于更快的动力学分解率。试验性的结果显示更低的T融化混合样品的c被归功于到更小的集中变化波长m由更高的纠纷度导致了,当在融化混合样品的更高的纠纷度导致限制部分动力学时并且因而,更慢的动力学分解率由macromolecular散开统治了在一可比较熄灭深度。这些结果表明在聚合物混合收拾行李的链能显著地影响液体液体阶段分离行为,它是从小分子的混合物的分解的重要差别。

  • 标签: 高分子共混物 相分离行为 LCST 链缠结 分解率 低临界溶液温度
  • 简介:Theresultsonadissociationbehaviorofpropanehydratespreparedfrom'drywater'andcontainedunreactedresidualwaterintheformoficeinclusionsorsupercooledliquidwater(watersolutionofgas)werepresentedfortemperaturesbelow273K.Thetemperaturerampingorpressurereleasemethodwasusedforthedissociationofpropanehydratesamples.Itwasfoundthatthemechanismofgashydratedissociationattemperaturesbelow273Kdependedonthephasestateofunreactedwaterinthehydratesample.Gashydratesdissociatedintoiceandgasiftheiceinclusionswereinthehydratesample.Thesamplesofpropanehydrateswithinclusionsofunreactedsupercooledwateronly(withouticeinclusions)dissociatedintosupercooledwaterandgasbelowthepressureofthesupercooledwater-hydrate-gasmetastableequilibrium.

  • 标签: 天然气水合物 分解机制 分解行为 水分解 残留水 反应
  • 简介:Inthispaper,thefractureprocessofaunidirectionalCF/SiCsingleedge-notchedbeam(SENB)underthree-pointbending(TPB)isstudiedbymeansofmacro/micro-statisticalMonteCarlosimulation.Thesimulatedp-△curvesareinagreementwiththeexperimentalresultsbeforethepeaksofcurves,andthesimulatedmicroevolutionpatternsareinagreementwiththepatternsofthecracksurfaces,whichhaveverifiedthismethod.ItispreliminarilydemonstratedthatthesecondturningpointinthecompliancechangingratecurvecorrespondstothefractureinitiationforexperimentsonSENBunderTPBofunidirectionalCF/SiCcomposites.

  • 标签: CF/SiC fracture Monte Carlo simulation FRACTURE