简介:ThispaperisconcernedwithapplicationsofintegratedsemigroupstothefollowingCauchyproblem:(ACPn)xn(t)=sumfromi=0ton-1Bixi(t),xi(0)=xi,0(?)i(?)n-1whereBi(0(?)i(?)n-1)areclosedlinearoperatorsonaBanachspaceX.Auniquenesstheorem,aconditionofthesolvability,aconditionoftheexponentialwell-posedness,andsomeresultsforthespecialcasethatBn-1isboundedandD(Bn-2)(?)D(Bi)(0(?)i(?)n-3)areobtained.