| 一类带不定权函数的奇型Sturm-Liouville算子的局部可定性(英文) |
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| 引用本文： | 杨秋霞,王万义. 一类带不定权函数的奇型Sturm-Liouville算子的局部可定性(英文)[J]. 应用数学, 2012, 25(1): 150-159 |
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| 作者姓名： | 杨秋霞 王万义 |
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| 作者单位： | 1. 内蒙古大学数学科学学院,内蒙古呼和浩特010021;德州学院计算机系,山东德州253023
2. 内蒙古大学数学科学学院,内蒙古呼和浩特,010021 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10961019);the "211 Project" Innovative Talents Training Program of Inner Mongolia University |
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| 摘 要： | 研究一类带不定权函数的奇型Sturm-Liouville算子,给出相应自伴算子在无穷点邻域的局部可定性.
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| 关 键 词： | Sturm-Liouville算子 不定权 可定型化 |
Local Definitizability of a Singular Sturm-Liouville Operator with Indefinite Weight |
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| YANG Qiuxia , WANG Wanyi. Local Definitizability of a Singular Sturm-Liouville Operator with Indefinite Weight[J]. Mathematica Applicata, 2012, 25(1): 150-159 |
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| Authors: | YANG Qiuxia WANG Wanyi |
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| Affiliation: | 1(1.Mathematics Science College,Inner Mongolia University,Huhhot 010021,China;2.Department of Computer Science and Technology,Dezhou University,Dezhou 253023,China) |
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| Abstract: | In this paper,we consider a singular Sturm-Liouville operator with an indefinite weight function.Moreover,we characterize the local definitizability of the corresponding self-adjoint operator in a neighborhood of ∞. |
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| Keywords: | Sturm-Liouville operator Indefinite weight Definitizable |
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