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1.
胡辉 《应用数学和力学(英文版)》2002,23(1):114-118
IntroductionThesleighproblemisaclassiconeinnonholonomicdynamics.ThesolutionstotheproblemwereobtainedbyС .А .Чаплыгин( 1 898)andC .Carathodory( 1 93 3 ) [1].Thereference [2 ]presentedafewquestionablepointsinthesolutions .Anothersolutionwasofferedinthereference[3 ] .Butthe… 相似文献
2.
SOME PROBLEMS IN THE Z-C-X SPACE 总被引:2,自引:0,他引:2
朱传喜 《应用数学和力学(英文版)》2002,23(8)
IntroductionThispaperisacontinuationofRef.[1 ]bytheauthor,itisoneofthemaincontentsaboutinvestigatingrandomsolutionsofrandomoperatorequations.Throughoutthispaperlet(E ,B)beameasurablespace ,whereEisaseparablerealBanachspace ,Bdenotestheσ_algebraofgeneratingb… 相似文献
3.
CONVERGENCE OF SIMPLIFIED AND STABILIZED MIXED ELEMENT FORMATS BASED ON BUBBLE FUNCTION FOR THE STOKES PROBLEM 总被引:1,自引:0,他引:1
IntroductionInordertogetridoftherestrictiontodiscreteBabuska_Brezzi’sconditionsinresearchesofmixedfiniteelement (MFE)methods,oneusuallyusesthestabilizedMFEmethodsformat[1] .Thereareanumberofstabilizedmethods (see ,e.g .,Refs.[1- 7]andthereferencestherein) ,whichh… 相似文献
4.
ELASTIC ANALYSIS OF ORTHOTROPIC PLANE PROBLEMS BY THE SPLINE FICTITIOUS BOUNDARY ELEMENT METHOD 总被引:5,自引:0,他引:5
IntroductionIntheconventionalboundaryelementmethod (BEM) ,singularpointsaredistributedalongtheboundaryofthedomainunderstudy ,whichleadstosingularintegralequationsduetothesingularityoffundamentalsolutions .Therefore ,singularintegrationmustbehandledwhensol… 相似文献
5.
It’swell_knownthatthesolutionsofbackwardstochasticdifferentialequations(BSDEs)playanimportantroleinthefinancialmarket(SeeRef.[1]).WithunboundedstoppingtimesτasterminalsundertheLipschitzconditionsandconditionthatterminalssatisfyE|ξ|2eK(τ∧T)≤c0<∞,0≤T<∞orξ=0,Refs… 相似文献
6.
REMARK ON STABILITY OF ISHIKAWA ITERATIVE PROCEDURES 总被引:2,自引:0,他引:2
1 IntroductionandPreliminariesSupposeEisarealBanachspaceandTisaselfmapofE .Supposex0 ∈Eandxn+1=f(T ,xn)definesaniterationprocedurewhichyieldsasequenceofpoints xn ∞n=0 inE .Foranexample ,thefunctioniterationxn+1=f(T ,xn) =Tx0 .SupposeF(T) =x∈E :Tx=x ≠ andthat xn convergess… 相似文献
7.
张荣业 《应用数学和力学(英文版)》2001,(4)
IntroductionInthepaper (Ⅰ ) (see:AppliedMathematicsandMechanics (EnglishEdition) ,2 0 0 0 ,2 1 (7) :82 5-83 5) ,wehaveestablishedthedynamicsinNewtonian_Riemannianspace_time,andgiveitsapplicationtoHydromechanics.ThereisGalileo’sprincipleofrelativityinClassicalNewton’smecha… 相似文献
8.
IntroductionThispaperisconcernedwiththenumericalsolution ,byfinitedifferencemethod ,ofthefollowingsingularlyperturbednonlocalboundaryvalueproblem :Lu≡-εu″ +a(x)u=f(x) ( 0 <x<l) ,( 1 )L0 u≡-εu′( 0 ) +γu( 0 ) =μ0 , ( 2 )L1u≡u(l) -δu(d) =μl ( 0 <d<l) ,( 3 )whereεisasmallpositiveparameter,… 相似文献
9.
IntroductionConsiderthesystemofpartialdifferentialalgebraicequations (PDAEs) :Σ : Pi(y1,y2 ,… ,yn) =0 (i =1,2 ,… ,r) ,wherethecoefficientsareinthedifferentialfieldKwithcharacteristiczero .TheimportantquestionishowtosolvethisPDAEsinthetheoryofpartialdifferentialequa… 相似文献
10.
江福汝 《应用数学和力学(英文版)》2001,(3)
IntroductionOwingtothefactthatthesolutionsoftheDirichletproblemsforaclassofsystemsofdifferentialequationsoftheformu″=v ,εv″ f(x ,u ,u′)v′ -g(x ,u ,u′)v=0 ( 0 <x <1,0 <ε 1) ,u( 0 ;ε) =0 ,u( 1;ε) =0 ,v( 0 ;ε) =α ,v( 1;ε) =β,( 1)havethequalitativepropertiesofsolutionsofamorecomplicatedsyste… 相似文献
11.
IntroductionC_shapedbellowsorreferredtoassemi_circlebellowsarewithcomplexconfiguration(Fig .1) .Attheconcaveandconvexjointsoftheshell,forexampleatpointC ,thelatitudeangleψincreasesby 180°abruptly .Soitisthekeytocalculationforbellowsthatmakingupsolutionsexact… 相似文献
12.
王凡彬 《应用数学和力学(英文版)》2000,21(11):1338-1340
Therearemanydocumentsthatdiscussblow_upofthesolutionsfortheinitial_boundaryvlueproblemsofthenonlinearSchr dingerequations,suchaspaper [1 ] .Butthepaper [1 ]hasoneweakpoint,thatis,itcannotunitediscussionforblow_upofthesolutionsfortheinitial_boundaryvalueprobl… 相似文献
13.
张石生 《应用数学和力学(英文版)》2001,22(1):25-34
IntroductionThroughoutthispaperweassumethatEisarealBanachspace ,E isthedualspaceofE ,DisanonemptysubsetofEandJ:E → 2 E isthenormalizeddualitymappingdefinedbyJ(x) =f∈E :〈x ,f〉 =‖x‖·‖f‖ , ‖f‖ =‖x‖ (x∈E) . Ddfinition 1 1 LetT :D →Dbeamapping1 )Tissaidtobeasymptoticallyno… 相似文献
14.
RESEARCH OF THE PERIODIC MOTION AND STABILITY OF TWO-DEGREE-OF-FREEDOM NONLINEAR OSCILLATING SYSTEMS
刘俊 《应用数学和力学(英文版)》2002,23(10):1229-1236
IntroductionInthesystemofnonlinearoscillating ,periodicmotionisofprimeimportance .Butexistenceofperiodicsolutionsisaverydifficultquestion .Luckilythereexistsomekindsofperiodicsolutioninactualphysicalsystems .Therefore ,weusuallyconcentratedourattentionont… 相似文献
15.
ATHREE-FLUIDMODELOFTHESAND-DRIVENFLOW¥(刘大有,董飞)LiuDayou;DongFei(InstituteofMechanics,AcademiaSinica,Beijing100080,P.R.China)Abs... 相似文献
16.
IntroductionLet(E,|·|)bearealBanachspacewithapartialorderintroducedbyaregularconeKofE.Inthispaper,theexistenceofsolutionsofthefollowingperiodicboundaryvalueproblems(PBVP)willbeinvestigated: (Ⅰ)u″=f(t,u,Tu) a.e.t∈J,u(0)=u(a),u′(0)=u′(a),wheref∈C(J×E×E,E),J=[0,a](a>0),and(T… 相似文献
17.
《应用数学和力学(英文版)》2001,(12)
BBAIZhan_bing (白占兵 )ExistenceandMultiplicityofPositiveSolutionsforaFourth_Orderp_LaplaceEquations 1 2 ( 1 476)………………………………………………………………………BAOWen_bo (鲍文博 )SeeXUYu_xiu (徐玉秀 ) 5( 586)…………………………………AmitabhBanerjeeandThakurBalwantSinghAFixedPointTheoremforSet_ValuedMapping… 相似文献
18.
FREE BOUNDARY PROBLEM OF THE 2D SEEPAGE FLOW 总被引:2,自引:0,他引:2
FREEBOUNDARYPROBLEMOFTHE2DSEEPAGEFLOW¥SheYinghe(佘颖禾)SunYing(孙鹰)GuoXiaoming(郭小明)(DepartmentofMathematicsandMechanics,Southeast... 相似文献
19.
IntroductionInpaper[1],D.Guoestablishedtheexistenceofextremesolutionsofinitialvalueproblemsforfirst_orderintegro_differentialequationsofVolterratypeinBanachspaces.Now,weconsidertheIVPforsecond_orderintegro_differentialequationsinarealBanachspaceE:u″=F(t,u,… 相似文献
20.
IntroductionInsoilmechanics,theproblemsdealingwithstressinfoundationsareusuallyreferredastheBoussinesqsolutionsandtheCerrutiones (Love[1 ] ;Lure[2 ] ) .Furtherinvestigation (Bardew[3 ] ;Gibson[4 ] )tookthefoundationasapproximationoftransverselyisotropichalf_space .M… 相似文献