| 本征值问题的统一推导方法及讨论 |
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| 引用本文： | 谢广喜.本征值问题的统一推导方法及讨论[J].数学学习,2010,13(4):45-47. |
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| 作者姓名： | 谢广喜 |
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| 作者单位： | 江南大学理学院,江苏无锡214122 |
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| 摘 要： | 针对一般情形的本征方程X″(x)-2bX′(x)+λX(x)=0结合第一、二、三类齐次边界条件的统一形式,给出有关本征值问题的统一结果,从而可直接利用分离变量法求解2U/t2=a22U/x2+a1u/x+a2t/u+a3u型等含有ux项的泛定方程的定解问题.
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| 关 键 词： | 本征值问题 齐次边界条件 统一推导方法 |
On the General Conclusion about Eigenvalue Problem |
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| XIE Guang,Xi.On the General Conclusion about Eigenvalue Problem[J].Studies In College Mathematics,2010,13(4):45-47. |
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| Authors: | XIE Guang Xi |
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| Institution: | (school of science, Jiangnan University ,Wuxi,Jiangsu ,214122, PRC) |
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| Abstract: | for eigenvalue equation, x″（z）-2bx′（z）＋λX（x）=0, with the first,second or third class homogeneous boundary condition, a general conclusion about eigenvalue problem isdrawn out. The equation such as a2U/at2=a2a2u/ax2＋a1au/ax＋a2au/at＋a3u can be solved directly withvariable-separating method. |
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| Keywords: | eigenvalue problem separation of variables integrate form |
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