| 热传导方程混合边值问题的级数解的收敛性 |
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| 引用本文： | 邢家省,王拥军.热传导方程混合边值问题的级数解的收敛性[J].河南科学,2012,30(2):141-144. |
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| 作者姓名： | 邢家省 王拥军 |
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| 作者单位： | 北京航空航天大学数学与系统科学学院,数学、信息与行为教育部重点实验室,北京100191 |
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| 基金项目： | 国家自然科学基金资助项目（11171013）; 北京航空航天大学教改项目基金资助 |
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| 摘 要： | 考虑齐次热传导方程的初值与混合边值问题,通过对形式级数解的收敛性质的研究,得到了该问题的古典解的存在性.
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| 关 键 词： | 热传导方程 混合边值问题 形式级数解 古典解 |
The Convergence of Series Solutions of Initial-mixed Boundary Value Problem of Heat Conduction Equation |
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| Xing Jiasheng
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Wang Yongjun.The Convergence of Series Solutions of Initial-mixed Boundary Value Problem of Heat Conduction Equation[J].Henan Science,2012,30(2):141-144. |
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| Authors: | Xing Jiasheng Wang Yongjun |
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| Institution: | (Department of Mathematics, LMIB of the Ministry of Education, Beihang University, Beijing 100191, China) |
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| Abstract: | Considering the initial mixed boundary value problem of homogeneous Heat conduction equation, through the study of the properties of formal series solutions,on the condition of continuous initial value,the existence of the classical solutions of Heat conduction equation has been proved. |
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| Keywords: | heat conduction equation mixed boundary value formal series solutions classical solutions |
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