一类不连续不定Sturm-Liouville算子的自共轭性

Self-Adjointness ofa Class of Discontinuous and Indefinite Sturm-Liouville Operators

该文研究了一类首项系数与权函数均多次变号且带有转移条件的Sturm-Liouville算子的自共轭性。建立新的完备不定度规空间K,将所研究的Sturm-Liouville问题转化为对新算子A的研究,证明了算子A的自共轭性。

The self-adjointness of a class of Sturm-Liouville operators with multiple sign changes and transition conditions for both the first term coefficient and weight function is investigated.Establish a new complete indefinite metric space K,transform the Sturm-Liouville problem studied into the study of the new operator A,and prove the self-adjointness of operator A.