简介:A.simplicialmesh(triangulation)isconstructedthatgeneralizesthetwo-dimensional4-directionmeshtoR~m.Thismesh,withsymmetric,shift-invariantvaluesatthevertices,isshowntoadmitaboundedC~1interpolantifandonlyifthealternatingsumofthevaluesattheverticesofany1-cubeiszero.Thisim-pliesthaiinterpolationattheverticesofanm-dimensional,simplicialmeshbyaC~1piecewisepolynomialofdegreem+1withonepiecepersimplexisunstable.
简介:Fortheinfinitedelaydifferenceequationsofthegeneralform,twonewuniformasymptoticstabilitycriteriaareestablishedintermsofthediscreteLiapunovfunctionals.
简介:CONDITIONSOFORTHOGONALITYANDSTABILITYASSOCIATEDWITHTHEGENERALREFINEMENTEQUATIONZhangQing(张青)(HubeiCollegeofFinanceandEconomic...
简介:Thedynamicinput-outputmodeliswellknownineconomictheoryandpractice.Inthispaper,theasymptoticstabilityandbalancedgrowthsolutionsofthedynamicinput-outputsystemareconsidered.Undersomenaturalassumptionswhichdonotrequirethetechnicalcoefficientmatrixtobeindecomposable,ithasbeenprovedthatthedynamicinput-outputsystemisnotasymptoticallystableandthecloseddynamicinput-outputmodelhasabalancedgrowthsolution.
简介:ThispaperisconcernedwiththeexistenceandthenonlinearasymptoticstabilityoftravelingwavesolutionstotheCauchyproblemforasystemofdissipativeevolutionequations{ξt=-θx+βξxx,θt=vξx+(ξθ)x+αθxx,withinitialdataandendstates(ξ,θ)(x,0)=(ξ0,θ0)(x)→(ξ±,θ±)asx→±∞.Weobtaintheexistenceoftravelingwavesolutionsbyphaseplaneanalysisandshowtheasymptoticnonlinearstabilityoftravelingwavesolutionswithoutrestrictionsonthecoefficientsαandvbythemethodofenergyestimates.
简介:这篇论文证明一个引起注意的人是的一条公理的Hausdorff尺寸在随机的不安下面稳定。
简介:Thispaperdealswiththenumericalsolutionofinitialvalueproblemsforsystemsofdifferentialequationswithadelayargument.Thenumericalstabilityofalinearmultistepmethodisinvestigatedbyanalysingthesolutionofthelestequationy’(t)=Ay(t)+By(1-t),whereA,BdenoteconstantcomplexN×N-matrices,andt>0.Weinvestigatecarefullythecharacterizationofthestabilityregion.