On the inverse nodal problems for discontinuous Sturm–Liouville operators.

In this paper, we discuss the inverse nodal problems for discontinuous Sturm–Liouville operators with Robin boundary conditions. We show that the potential q up to its mean value on the interval [ 0 , 1 ] and coefficients h , H , b a can be uniquely determined by the twin-dense nodal subset on the subinterval [ a 0 , b 0 ] , a 0 < 1 2 < b 0 . In addition, we still establish several uniqueness theorems by the left twin-dense nodal subset on the interval [ a 0 , 1 2 ] and additional information, respectively. [ABSTRACT FROM AUTHOR]