Partially-isospectral Sturm-Liouville operators and their applications

This paper is devoted to the reconstruction of partially-isospectral Sturm-Liouville boundary value problems in a finite segment. Proposed algorithm is applied to find the solution of mixed problems for partial differential equations of parabolic and hyperbolic type with variable coefficients, as well as to find the solution of mixed problems for the fractional-order narrow-band oscillation equation with variable coefficients and the fractional-order single-variable diffusion equations.