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。
简介:AclassΦof5-dimensionalfunctionswasintroducedandanexistenceanduniquenessofcommonfixedpointsforafamilyofnon-selfmappingssatisfyingaφiquasi-contractiveconditionandacertainboundaryconditionwasgivenoncompletemetricallyconvexmetricspaces,andfromwhich,moregeneraluniquecommonfixedpointtheoremswereobtained.Ourmainresultsgeneralizeandimprovemanysametypecommonfixedpointtheoremsinreferences.
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.
简介:Inthispaper,ahighaccuracyfinitevolumeelementmethodispresentedfortwo-pointboundaryvalueproblemofsecondorderordinarydifferentialequation,whichdiffersfromthehighordergeneralizeddifferencemethods.Itisprovedthatthemethodhasoptimalorderer-rorestimateO(h3)inH1norm.Finally,twoexamplesshowthatthemethodiseffective.
简介:Inthispaper,weintroducetheconceptofgeneralizedg-quasi-contractionsinthesettingofconeb-metricspacesoverBanachalgebras.Byomittingtheassumptionofnormalityweestablishcommonfixedpointtheoremsforthegeneralizedgquasi-contractionswiththespectralradiusr(λ)oftheg-quasi-contractiveconstantvectorλsatisfyingr(λ)∈[0,1/s)inthesettingofconeb-metricspacesoverBanachalgebras,wherethecoefficientssatisfiess≥1.Themainresultsgeneralize,extendandunifyseveralwell-knowncomparableresultsintheliterature.
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。
简介:Theresultsonadissociationbehaviorofpropanehydratespreparedfrom'drywater'andcontainedunreactedresidualwaterintheformoficeinclusionsorsupercooledliquidwater(watersolutionofgas)werepresentedfortemperaturesbelow273K.Thetemperaturerampingorpressurereleasemethodwasusedforthedissociationofpropanehydratesamples.Itwasfoundthatthemechanismofgashydratedissociationattemperaturesbelow273Kdependedonthephasestateofunreactedwaterinthehydratesample.Gashydratesdissociatedintoiceandgasiftheiceinclusionswereinthehydratesample.Thesamplesofpropanehydrateswithinclusionsofunreactedsupercooledwateronly(withouticeinclusions)dissociatedintosupercooledwaterandgasbelowthepressureofthesupercooledwater-hydrate-gasmetastableequilibrium.
简介:Inthispaper,thefractureprocessofaunidirectionalCF/SiCsingleedge-notchedbeam(SENB)underthree-pointbending(TPB)isstudiedbymeansofmacro/micro-statisticalMonteCarlosimulation.Thesimulatedp-△curvesareinagreementwiththeexperimentalresultsbeforethepeaksofcurves,andthesimulatedmicroevolutionpatternsareinagreementwiththepatternsofthecracksurfaces,whichhaveverifiedthismethod.ItispreliminarilydemonstratedthatthesecondturningpointinthecompliancechangingratecurvecorrespondstothefractureinitiationforexperimentsonSENBunderTPBofunidirectionalCF/SiCcomposites.