简介:Inthispaperweconsiderinfinitehorizonbackwarddoublystochasticdifferentialequations(BDSDEsforshort)coupledwithforwardstochasticdifferentialequations,whoseterminalfunctionsarenon-degenerate.ForsuchkindofBDSDEs,westudytheexistenceanduniquenessoftheirsolutionstakingvaluesinweightedL~p(dx)■L~2(dx)space(p≥2),andobtainthestationarypropertyforthesolutions.