| 一类参数边界条件的奇异Sturm—Liouville问题的自伴性 |
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| 引用本文： | 刘常凯,张茂柱.一类参数边界条件的奇异Sturm—Liouville问题的自伴性[J].泰山学院学报,2011(6):10-12. |
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| 作者姓名： | 刘常凯 张茂柱 |
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| 作者单位： | 泰山学院数学与系统科学学院,山东泰安,271021 |
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| 摘 要： | 本文考虑两端为极限圆型的边界条件含有参数的奇异Sturm—Liouville问题，构造了一个新的空间，并得到了此问题对应于这个新空间上的一个自伴算子．
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| 关 键 词： | 奇异Sturm—Liouville问题 参数边界条件 自伴性 |
Self-adjointness of a Class of Singular Sturm-Liouville Problem with Eigenparameter Dependent Boundary Conditions |
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| LIU Chang-kai,ZHANG Mao-zhu.Self-adjointness of a Class of Singular Sturm-Liouville Problem with Eigenparameter Dependent Boundary Conditions[J].Journal of Taishan University,2011(6):10-12. |
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| Authors: | LIU Chang-kai ZHANG Mao-zhu |
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| Institution: | LIU Chang - kai , ZHANG Mao - zhu ( School of Mathematics and System Science, Taishan University ,Tai＇an 271021, China) |
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| Abstract: | In this paper, singular Sturm-Liouville problem with limit circle endpoints and boundary conditions dependent on eigenvalue parameters is considered. A new space is constructed and this problem is related to a self-adjoint operator in this new Hilbert space. |
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| Keywords: | singular Sturm-Liouville problem eigenparameter dependent boundary conditions self-adjointness |
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