简介:让M与部分弯曲歧管的n维的完全的noncompactRiemannian从在下面被围住,d瑥物浥湥?牡?牰癯摩摥椠?汣獯摥映牯獭
简介:InthispapertheDirichletproblemforp-Laplacian(p>1)isconsidered.UndersuitableconditionsandbyusingcriticalpointtheorytheexistenceofsolutionsfortheDirichletproblemisstudied,andsomeresultsintheliteratureareimproved.
简介:Thispapergivesap-adicanalogueoftheMackeytheory,whichrelatesrepresentationsofagroupoftypeG=H×_tAtosystemsofimprimitivity.
简介:Letfibeaboundedsmoothdomain.Inthispaper,theauthorsdefinetheBesovspacesBpa,pon,establishtheatomicdecompositionofthesespaces,andobtaintheregularityestimateoftheDirichletproblemandtheNeumannproblemfortheLaplaceoperatoronthesespaces.
简介:Inthispaper,wesolvethequadraticp-functionalinequalities‖f(x+y)+f(x-y)-2f(x)-2f(y)‖≤‖ρ(2f((x+y)/2)+2f((x-y)/2)-f(x)-f(y))‖,(0.1)whereρisafixedcomplexnumberwith|ρ|<1,and‖2f((x+y)/2)+2f((x-y)/2)-f(x)-f(y)‖≤‖ρ(f(x+y)+f(x-y)-2f(x)-2f(y))‖,(0.2)whereρisafixedcomplexnumberwith|ρ|<1/2.Usingthedirectmethod,weprovetheHyers-Ulamstabilityofthequadraticρ-functionalinequalities(0.1)and(0.2)incomplexBanachspacesandprovetheHyers-Ulamstabilityofquadraticρ-functionalequationsassociatedwiththequadraticρ-functionalinequalities(0.1)and(0.2)incomplexBanachspaces.
简介:ThispapereonsidersanARIMA(p,d,q)medel.Amethodforestimatingtheorderdandtestingthehypothesis:d=d0isgiven.Theasymptoticpropertiesoftheestimatorhavebeendiscussed.
简介:LetH1andH2beseparableHilbertspaces,andB(H1,H2)allofboundedlinearoperatorsfromH1intoH2.Inthisnote,weprovethefollowingtheorem:foranypositiveintegerNandT∈B(H1,H2)withaclosedrange,thereexistsanouterinverseT#NwithfiniterankNsuchthatT+y=liraT#Nyforanyy∈H2,whereT+N→∞denotestheMoore-PenroseinverseofT.ThuscomputingT+isreducedtocomputingouterinversesT#NwithfiniterankN.Moreover,becauseofthestabilityofboundedouterinverseofaT∈B(H1,H2),thisisveryuseful.