| Wick型Clannish Random Walker’s Parabolic方程的精确解 |
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| 引用本文： | 徐英. Wick型Clannish Random Walker’s Parabolic方程的精确解[J]. 徐州师范大学学报(自然科学版), 2008, 26(4): 42-45 |
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| 作者姓名： | 徐英 |
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| 作者单位： | 徐州师范大学,数学科学学院,江苏,徐州,221116 |
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| 基金项目： | 国家自然科学基金 , 江苏省自然科学基金 , 江苏省333高层次人才培养工程基金 , 江苏省六大人才高峰基金 |
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| 摘 要： | 通过白噪声泛函分析理论、Hermite变换和广义F展开法,分别得到Wick型clannish random walker’s parabolic方程和变系数的clannish walker’s parabolic方程的白噪声泛函解、三角函数解及双曲函数解．
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| 关 键 词： | Wick型clannish random walker’s parabolic方程 白噪声泛函分析解 Hermite变换 广义F展开法 |
Exact Solutions of the Wick-type Clannish Random Walker's Parabolic Equations |
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| XU Ying. Exact Solutions of the Wick-type Clannish Random Walker's Parabolic Equations[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2008, 26(4): 42-45 |
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| Authors: | XU Ying |
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| Affiliation: | XU Ying (School of Mathematical Science, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China) |
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| Abstract: | By using the white noise analysis, Hermite transform and the generalized F-expansion method,a number of Wick versions of white noise functional solutions, trigonometric function solutions and hyperbolic function solutions for the Wick-type stochastic clannish random walker＇s parabolic equation and the one with variable coefficients are obtained,respectively. |
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| Keywords: | Wick-type stochastic clannish random walker＇s parabolic equation white noise functional solution Hermite transform generalized F-expansion method |
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