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1.
Thelineartheoryofnonlocalelasticityhasbeenappliedtosomeproblemssuchasfracture,dislocationandwavepropagation[1].Itisusedtosolvemanyproblemswhicharenotexplainedbytheclassicalmechanics.Itispointedoutearlier[2],however,someimportantnonlocalpropertiesinth…  相似文献   

2.
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   

3.
Therearemanydocumentsthatdiscussblow_upofthesolutionsfortheinitial_boundaryvlueproblemsofthenonlinearSchr dingerequations,suchaspaper [1 ] .Butthepaper [1 ]hasoneweakpoint,thatis,itcannotunitediscussionforblow_upofthesolutionsfortheinitial_boundaryvalueprobl…  相似文献   

4.
ThefollowingLemmastated (in :AppliedMathematicsandMechanics (EnglishEdition) ,2 0 0 1 ,2 2 ( 1 1 ) :1 3 52 -1 3 56)wasappliedtodescribetheasymptoticbehaviorsofsolutionsofaclassofreaction_diffusionequation .Onaccountofthespecialpropertyofthesupersolution(i.e .,anonzerosolution…  相似文献   

5.
IntroductionManymechanicalsystemscanbeviewedaslinearHamiltoniansystems.Whenwestudytheeffectsofsystemparametersonthebehaviorofthesystems,thesystemcanberegardedasthesystemdependingonparameters.Veryimportantsystemparameters ,suchascriticalload ,criticalang…  相似文献   

6.
IntroductionConsiderthesystemofpartialdifferentialalgebraicequations (PDAEs) :Σ : Pi(y1,y2 ,… ,yn) =0   (i =1,2 ,… ,r) ,wherethecoefficientsareinthedifferentialfieldKwithcharacteristiczero .TheimportantquestionishowtosolvethisPDAEsinthetheoryofpartialdifferentialequa…  相似文献   

7.
IntroductionTheelastichalf_spacetheoryoffoundationvibrationandthestudyofsoil_structureinteractionproblemhavebeenthesubjectofintensiveresearchinthecivilengineering .SinceLucoetal.[1]summarizedthevibrationofacircularrigidfoundationrestingonanelastichalf_s…  相似文献   

8.
IntroductionWiththedevelopmentofnaturalscienceandtheincreasingrequirementintechnology,thelargedeflectionnonlinearproblemofbarsisalwaysanimportantresearchinengineeringapplicationfield.Inthe1960s,theresearchscopewasonlylimitedtoEuler’sElasticatheory,whichw…  相似文献   

9.
IntroductionFractalinterpolationmethodisnumericalmethodinthefractalgeometryusingiteratedfunctionsystem (IFS) ,itisdifferentfromtraditionalinterpolationmethod .M .F .Barnsely[1,2 ]firstgavethismethodandresearchedthecontinuityandthefractaldimensionofinterpolat…  相似文献   

10.
THE PROPERTY OF NONWANDERING OPERATOR   总被引:9,自引:0,他引:9  
THEPROPERTYOFNONWANDERINGOPERATORTianLixin(田立新);LuDianchen(卢殿臣)(DepartmentofMathematicsandPhonics,JiangsuUniversityofSciencea...  相似文献   

11.
IntroductionInthiswork,westudytheproblemsoftheboundednesanduniformboundednesofsolutionsofnon_autonomousdiferentialequationsof...  相似文献   

12.
IntroductionIn[1],theseriessolutionsofthecircularplatewithhingededgeandwiththesimplysupportededgehasyetbenconstructed,whicha...  相似文献   

13.
IntroductionInordertoadjustthecontrolparametersofplaneinertialshaker,optimizetheconstructiondesignofshakerandincreaseefficiencyofsieving ,itisnecessarytoresearchthemovementregularityofsolidparticleonthedrillingfluidlineshakerscreen .Owingtothedifferent…  相似文献   

14.
IntroductionConservationlawofmechanicalsystemnotonlyhasimportanceinmathematicsbutalsorevealsprofoundphysicallaw .In 1 91 8,basedoninvarianceofHamilton’sprincipleunderinfinitesimaltransformation ,theconservationlawofmechanicssystemwasstudiedbyGermanscientis…  相似文献   

15.
IntroductionInthesystemofnonlinearoscillating ,periodicmotionisofprimeimportance .Butexistenceofperiodicsolutionsisaverydifficultquestion .Luckilythereexistsomekindsofperiodicsolutioninactualphysicalsystems .Therefore ,weusuallyconcentratedourattentionont…  相似文献   

16.
IntroductionTheinitiationofreliabilitytechniqueswasduetotheexistenceoflargeamountofuncertaintiesinengineering .Accordingtothedifferencesintheproducedcauseandphysicalmeaning,uncertaintiesmaybedividedgenerallyintothreetypes:randomness,fuzzinessandunascer…  相似文献   

17.
IntroductionThermalstresesofisotropicandorthotropiccylindricalshelhavebenstudiedinreferences[1~3]byusingthre_dimensionalelast...  相似文献   

18.
Afundamentalcharacteristicofplasmasistheir,abilitytosmearoutelectricfields.ThisisatypicalnonlinearproblemofsolvingthePoissonequation.Thepreviousstudyofthenonlinearproblemisusuallybasedonalinearizedmethodwhenthepotentialenergyoftheparticlesismuchsmalle…  相似文献   

19.
IntroductionEversinceShepherdhassuggestedanovelmethodtostudynonlinearsaturationofbarotropicandbaroclinicinstability[1- 3],manyauthorshavemadefurtherresearchontheproblem .Shepherd’smethodisasfollows:First,chooseaclassofstablebasicflows;then ,decomposethedist…  相似文献   

20.
IntroductionChaoticistheinherentrandomnessinthedefinitesystem .Thedefinitenessiscausedbythesysteminternalsbutnotbytheexternaldisturbance[1- 4],whiletheinherentrandomnessistheirregularanddifficult_to_be_predictedbehaviorofthesystem[5 ,6 ].Whatismostattractive…  相似文献   

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