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  • 简介:ThisarticleconcernstheconstructionofapproximatesolutionsforageneralstochasticintegrodifferentialequationwhichisnotexplicitlysolvableandwhosecoeffcientsfunctionallydependonLebesgueintegralsandstochasticintegralswithrespecttomartingales.Theapproximateequationsarelinearordinarystochasticdifferentialequations,thesolutionsofwhicharedefinedonsub-intervalsofanarbitrarypartitionofthetimeintervalandconnectedatsuccessivedivisionpoints.TheclosenessoftheinitialandapproximatesolutionsismeasuredintheLp-thnorm,uniformlyonthetimeinterval.Theconvergencewithprobabilityoneisalsogiven.

  • 标签: 随机积分方程 解析逼近 线性 随机微分方程 以概率1收敛 时间间隔
  • 简介:ThispaperdealswiththeuniquenessandexistenceofperiodicsolutionsofneutralVolterraintegrodifferentialequations(1)and(2).Somenewuniqueexistencecriteriaareobtained.

  • 标签: UNIQUENESS NEUTRAL deals ARGUMENT LEMMA 扫刀
  • 简介:Inthispaper,wediscusstheacceleratingconvergencemethodforfiniteelementapproximationofintegro-differentialequationswithparameters.Asapplications,wegivetheerrorestimatesoffiniteelementforthefirstkindofFredholmintegralequation,particularlyfortheVolterraintegralequationwithkernelconditionk(x,x)=0.

  • 标签: EXTRAPOLATION FINITE ELEMENT method integro-differential EQUATION
  • 简介:Inthispaper,westudythecontrollabilityresultsforthenonlinearimpulsiveintegrodifferentialevolutionsystemswithtime-varyingdelaysinBanachspaces.Thesufficientconditionsofexactcontrollabilityisprovedunderwithoutassumingthecompactnessoftheevolutionoperator.TheresultsareobtainedbyusingthesemigrouptheoryandtheSchaferfixedpointtheorem.

  • 标签: CONTROLLABILITY IMPULSIVE integrodifferential system Evolution operator