简介：Bythereactionofpoly(bromoacetylstyrene)(EBPS)withthiaurea(TU),akindofnovelchelatingresinwithheterocyaclicringofsulfurandnitrogen,poly[4-(2-amino)thiazoleyl-4-vinylben=ene],wassynthesized.ItsstructurewascharacterizedbyFTIRandelementalanalysis.Thefactorswhichhaveinfluenceonthereactionsuchasreactiontime,solvents,andmolarratioofreactantswereinvestigated.

简介：Byusingsequentiallylowercompletespaces(see[Zhu,J.,Wei,L.,Zhu,C.C.:Caristitypecoincidencepointtheoremintopologicalspaces.J.AppliedMath.,2013,ID902692(2013)]),wegiveanewversionofvectorialEkeland’svariationalprinciple.Inthenewversion,theobjectivefunctionisdefinedonasequentiallylowercompletespaceandtakingvaluesinaquasi-orderedlocallyconvexspace,andtheperturbationconsistsofaweaklycountablycompactsetandanon-negativefunctionpwhichonlyneedstosatisfyp(x,y)=0iffx=y.Here,thefunctionpneednotsatisfythesubadditivity.FromthenewEkeland’sprinciple,wededuceavectorialCaristi’sfixedpointtheoremandavectorialTakahashi’snon-convexminimizationtheorem.Moreover,weshowthattheabovethreetheoremsareequivalenttoeachother.Byconsideringsomeparticularcases,weobtainanumberofcorollaries,whichincludesomeinterestingversionsoffixedpointtheorem.

简介：BycombiningChapman-EnskogexpansionwiththeBGKapproximationtoBaltzmannequationandNavier-Stokesequationwasobtained.AndanexpressionofDarcy'slawwasobtainedthroughtakingvariableaverageoverNavier-Stokesequationonsomerepresentativespaceinporousmedia,andfinallyanexamplewastakentoproveitsreliability.

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简介：Anexplicitfull-fieldexpressionoftheGreen’sfunctionsforanisotropicpiezoeleetricbimateri-alswithaslippinginterfaceisderived.Whentheelectro-elasticsingularityreducestoapraydislocationindisplacementandelectricpotential,interactionenergy,betweenthedislocationandthebimaterialsisobtainedexplicitlywhilethegeneralizedforceonthedisloeationisgiveninarealformwhiehisalsovalidfordegener-atematerials.Theinvestigationdemonstratesthatthehoundaryconditionsatlheslippinginterfacebetweentwopiezoelectricmaterialswillexertaprominentinfluenceonthemobilityofthedislocation.

简介：LetEbeacompacts-setsofR^n,TheauthorsdefineanorthonormalsystemФoffunctionsonEandobtainthat,foranyf(x)∈L^l(E1H^8),theFourierseriesoff1withrespecttoФ,isequaltof(x)atH^8-a.e-x∈E.Moreover,foranyf∈L^p(E,H^8)(p≥1),thepartialsumsoftheFourierseries,withrespecttoФ,offconvergestofinL^P-norm.

简介：Theeffectofpressureoncombustionandheattransferisanalyzed.Theresearchisbasedonthebasiccombustionandheattransfertheorem.Acorrectionfortheheatcalculationmethodforpressurizedfurnaceismadeonthebasisofthenormalpressurecase.Thecorrectiontakestheeffectofpressurizingintoaccount.Theresultsshowthatthecorrectionisreasonableandthemethodisapplicabletocombustionandheattransferofthemarinesuperchargedboiler.

简介：INthepreviouspapersoftheauthor’s,theelementaryreactionoperatorconcerningpointgroupwasdiscussed.Inthispaper,morecomplexreactionoperatorswillbeanalysed.Byusingtheskillinreactionoperator,theelectrocyclicandcy-cloadditionreactionsareillustrated.

简介：本文得到几个关于多变量Hp空间中函数Fourier系数的不等式.与单变量相应情形相比,我们的证明方法有较大的变化.

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简介：WepressentnewKyFantypebestapproximationtheoremsforadiscontinuousmultivaluedmaponmetrizabletopologicalvectorspacesandhyperconvexspaces.Inaddition,fixedpointresultsarederivedforthemapstudied.Ourworkgeneralizesseverlresultsinapproximationtheory.

简介：TheVeselov’sdiscreteNeumannsystemisderivedthroughnonlinearizationofadiscretespectralproblem.BasedonthecommutativerelationbetweentheLaxmatrixandtheDarbouxmatrixwithfinitegenuspotentials,aspecialsolutioniscalculatedwiththehelpoftheBaker-Akhiezer-Kriecheverfunction.

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简介：这篇论文被奉献给类型∂_tB(H)+∇的一个非线性的进化旋涡水流模型的学习x(∇xH)0使遭到到同类的Dirichlet边界的=调节Hxv=0并且一本给定的起始的资料。这里，一种软铁磁物质的磁性被B(H)描述的一条非线性的材料法律连接。我们为时间discretization使用向后的Euler方法，我们在合适的功能空格导出错误估计。结果取决于B(H)的非线性。

简介：ThenonconformingWilson’sbrickclassicallyisrestrictedtoregularhexahedralmeshes.LesaintandZlamal[6]relaxedthisconstraintforthetwo-dimensionalanalonueofthiselementInthispaperweextendtheirresultstothreedimensionsandprovethatandwhereuistheexactsolution,u_histheapproximatesolutionandistheusualnormfortheSobolevspaceH~1(?).

简介：Baker'syeastmediatedreductionofopticallyactivediketoneisdescribed.Thetwoketogroupsareefficientlydifferentiatedandtheeevalueoftherecoveredmaterialisconsiderablyraised.Itaffordshighlyopticallyactivekeyintermediatesefficientlyforthesynthesisofnaturalpolyhydroxylatedagarofuranproducts.

简介：ThispapergivesatutorialonhowtoproveLyapunovtypecriteriabyoptimalcontrolmethods.Firstly,weconsiderstabilitycriteriaonHill'sequationswithnonnegativepotential.Byoptimalcontrolmethodsdevelopedin1990s,weobtainseveralstabilitycriteriaincludingLyapunov'scriterion,Ne..gauzandLidski'scriterion.Secondly,wepresentstabilitycriteriaonHill'sequationswithsign-changingpotentialinwhichBrog'scriterionandKrein'scriterionareincluded.

简介：ItisprovedthateachsufficientlylargeintegerN≡5(mod24)canbewrittenasN=p12+p22+p23+p24+p25with|pj-√N/5|≤U=N1/2-1/35+ε,wherepjareprimes.Thisresult,whichisobtainedbyaniterativemethodandahybridestimateforDirichletpolynomial,improvesthepreviousresultsinthisdirection.