The self-adjoint matrix Sturm–Liouville operator on a finite interval with singular potential of class $$W_2^{-1}$$ and the general boundary conditions is studied. This generalizes operators geometrical graphs. We investigate inverse problem that consists in recovering considered from spectral data (eigenvalues weight matrices). reduced to linear equation suitable Banach space, constructive alg...

The main goal of this paper is to propose an approach inverse spectral problems for functional-differential operators (FDO) with involution. For definiteness, we focus on the second-order FDO involution-reflection. Our based reduction problem matrix form and solution Sturm-Liouville operator by developing method mappings. obtained contains weight, which causes qualitative difficulties in study ...