A uniqueness theorem for indefinite Sturm-Liouville operators

作者：Wang Yu-ping^*

来源：Applied Mathematics-A Journal of Chinese Universities Series B, 2012, 27(3): 345-352.

DOI：10.1007/s11766-012-2843-6

• Inverse problem
• uniqueness theorem
• indefinite Sturm-Liouville problem
• eigenvalue

In this paper, we discuss the inverse problem for indefinite Sturm-Liouville operators on the finite interval [a, b]. For a fixed index n(n = 0, 1, 2, aEuro broken vertical bar), given the weight function omega(x), we will show that the spectral sets {lambda (n) (q, h (a) , h (k) )} (k=1) (+a) and {lambda (-n) (q, h (b) , h (k) )} (k=1) +(a) for distinct h (k) are sufficient to determine the potential q(x) on the finite interval [a, b] and coefficients h (a) and h (b) of the boundary conditions.

• 出版日期2012-9
• 单位南京林业大学