简介:ThisarticleconcernstheconstructionofapproximatesolutionsforageneralstochasticintegrodifferentialequationwhichisnotexplicitlysolvableandwhosecoeffcientsfunctionallydependonLebesgueintegralsandstochasticintegralswithrespecttomartingales.Theapproximateequationsarelinearordinarystochasticdifferentialequations,thesolutionsofwhicharedefinedonsub-intervalsofanarbitrarypartitionofthetimeintervalandconnectedatsuccessivedivisionpoints.TheclosenessoftheinitialandapproximatesolutionsismeasuredintheLp-thnorm,uniformlyonthetimeinterval.Theconvergencewithprobabilityoneisalsogiven.
简介:Inthispaper,wediscusstheacceleratingconvergencemethodforfiniteelementapproximationofintegro-differentialequationswithparameters.Asapplications,wegivetheerrorestimatesoffiniteelementforthefirstkindofFredholmintegralequation,particularlyfortheVolterraintegralequationwithkernelconditionk(x,x)=0.
简介:Inthispaper,westudythecontrollabilityresultsforthenonlinearimpulsiveintegrodifferentialevolutionsystemswithtime-varyingdelaysinBanachspaces.Thesufficientconditionsofexactcontrollabilityisprovedunderwithoutassumingthecompactnessoftheevolutionoperator.TheresultsareobtainedbyusingthesemigrouptheoryandtheSchaferfixedpointtheorem.