吴波. p-adic域上一类拟微分方程的定解问题[J]. 云南大学学报(自然科学版), 2014, 36(2): 149-156. doi: 10.7540/j.ynu.20130302
引用本文: 吴波. p-adic域上一类拟微分方程的定解问题[J]. 云南大学学报(自然科学版), 2014, 36(2): 149-156. doi: 10.7540/j.ynu.20130302
shu
WU Bo. Explicit solutions to a class of pseudodifferential equations over p-adic field[J]. Journal of Yunnan University: Natural Sciences Edition, 2014, 36(2): 149-156. DOI: 10.7540/j.ynu.20130302
Citation: WU Bo. Explicit solutions to a class of pseudodifferential equations over p-adic field[J]. Journal of Yunnan University: Natural Sciences Edition, 2014, 36(2): 149-156. DOI: 10.7540/j.ynu.20130302
shu

p-adic域上一类拟微分方程的定解问题

Explicit solutions to a class of pseudodifferential equations over p-adic field

    摘要
  • 摘要: 利用p-adic域上定义的拟微分算子以及L2空间上的一组正交基,研究了p-adic域上一类拟微分方程,得到该微分方程的形式解,以及解在函数类中的收敛性质.并举例做了相关验证.

     

    Abstract: Explicit solutions to a class of pseudodifferential equations over p-adic field Kp was investigated where T is a p-adic psedodifferential operator defined by SU Weiyi.The explicit solution of the equation was obtained,and the uniqueness of solution which belongs to mixed classes of real and p-adic functions was constructed.Finally，some examples were given.

     

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