| p-adic域上一类拟微分方程的定解问题 |
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| 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. |
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| 作者姓名： | 吴 波 |
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| 作者单位： | 1.南京财经大学 应用数学学院，江苏 南京 210023 |
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| 基金项目： | 江苏省高校自然科学基金(13KJB110010);江苏高校优势学科建设工程基金(PAPD) |
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| 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.
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| 关 键 词： | 定解 拟微分算子 p-adic域 |
| 收稿时间： | 2013-05-21 |
Explicit solutions to a class of pseudodifferential equations over p-adic field |
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| WU Bo.Explicit solutions to a class of pseudodifferential equations over p-adic field[J].Journal of Yunnan University(Natural Sciences),2014,36(2):149-156. |
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| Authors: | WU Bo |
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| Institution: | 1.Department of Applied Mathematics,Nanjing University of Finance & Economics,Nanjing 210023,China |
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| 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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| Keywords: | explicit solution psedodifferential operator p-adic field |
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