Abstract
We study the inverse spectral problem for Sturm-Liouville operators with nonseparated boundary conditions on a finite interval. The inverse problem for such operators was investigated in [1-5] and other papers. In particular, the characterization of the spectrum for the periodic case was obtained in [1, 2]. Later, Plaksina [3, 4] obtained similar results for other types of boundary conditions. Another approach to this problem is applied here. We present the solution of the inverse problem for Sturm-Liouville operators with nonseparated boundary conditions, give a characterization of spectrum for such operators, and investigate stability. The main results are stated in Theorems 1 and 3. 1. Consider the self-adjoint boundary value problem L = L(q(x) , a, d, b):
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