| Abstract: |
| This paper is concerned with the inverse eigenvalue problem for a nonlocal
Sturm--Liouville operator generated by its rank one perturbations. We give a
necessary and sufficient condition that a sequence of real numbers is the
spectrum of a nonlocal Sturm--Liouville operator, provided that the
potential is known a priori. An explicit algorithm for constructing all such
operators is also provided. |
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