APPLICATIONS OF INTEGRATED SEMIGROUPS TO HIGHER ORDER ABSTRACT CAUCHY PROBLEMS

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摘要 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.
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出版日期 1992年04月14日(中国期刊网平台首次上网日期,不代表论文的发表时间)