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解析Fuchs型拟微分方程的局部正则解
引用本文:蒋鲁敏.解析Fuchs型拟微分方程的局部正则解[J].华东师范大学学报(自然科学版),1989(1):51-58.
作者姓名:蒋鲁敏
作者单位:华东师范大学数学系
摘    要:本文证明了:在关于特征根满足某些条件下,下列Fuchs型拟微分方程在t=0附近有局部解析解。为此,本文较仔细地讨论了解算子在某些函数空间中的性质。

关 键 词:拟微分方程  解析  Fuchs型  正则解

On the Local Regular Solutions to the Analytic Pseudodifferential Equations of Fuchs Type
JIANG LUMIN.On the Local Regular Solutions to the Analytic Pseudodifferential Equations of Fuchs Type[J].Journal of East China Normal University(Natural Science),1989(1):51-58.
Authors:JIANG LUMIN
Institution:Department of Mathematics
Abstract:The following analytic pseudodifferential equations of Fuchs type have been prayed to havo local analytic solutions near t=0 under some restrictions on their characteristic roots. The properties of the solution operator on some function space from which the existence theorem follows are discussed carefully.
Keywords:analytic pseudodifferential equation Fuchs type
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