Abstract:
In this paper, we propose an algorithm for constructing isospectral and partially isospectral Dirac operators on a finite interval. This algorithm is applied to the process of finding solutions to mixed problems posed for a system of partial differential equations of hyperbolic type with variable coefficients.
Keywords:eigenvalues, normalization constants, inverse problems, Fredholm integral equations of the second kind, isospectral and partially-isospectral Dirac operators.