Self-Adjointness of a Class of Discontinuous and Indefinite Sturm-Liouville Operators
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.