In this paper, partial inverse problems for the quadratic pencil of Sturm–Liouville operators on agraph with a loop are studied. These problems consist in recovering the pencil coefficients on one edge of thegraph (a boundary edge or the loop) from spectral characteristics, while the coefficients on the other edgesare known a priori. We obtain uniqueness theorems and constructive solutions for partial inverse problems.
Relation:
Journal of Inverse and Ill-posed Problems 28(3), p.449–463
