一类参数边界条件的奇异Sturm—Liouville问题的自伴性
일류삼수변계조건적기이Sturm—Liouville문제적자반성
Self-adjointness of a Class of Singular Sturm-Liouville Problem with Eigenparameter Dependent Boundary Conditions
  • 万方数据
    泰山学院学报 태산학원학보
    JOURNAL OF TAISHAN UNIVERSITY
    2011年 6期 10-12 ,共3页

    刘常凯%张茂柱

    류상개%장무주

    奇异Sturm—Liouville问题%参数边界条件%自伴性 奇異Sturm—Liouville問題%參數邊界條件%自伴性
    기이Sturm—Liouville문제%삼수변계조건%자반성
    singular Sturm-Liouville problem%eigenparameter dependent boundary conditions%self-adjointness
    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．
    본문고필량단위겁한원형적변계조건함유삼수적기이Sturm—Liouville문제，구조료일개신적공간，병득도료차문제대응우저개신공간상적일개자반산자．
    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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