Dirichlet-Neumann bracketing for boundary-value problems on graphs.
Transformations of difference equations. I.
Transformations of difference equations. II.
Hierarchies of difference boundary value problems.
Reconstruction of potential and boundary conditions for second order difference equations
Assume the eigenvalues and the weights are given for a difference boundary value problem and that the form of the boundary conditions at the endpoints is known. In particular, it is known whether the endpoints are fixed (i.e. Dirichlet or non-Dirichlet boundary conditions) or whether the endpoints are free to move (i.e. boundary conditions with affine dependence on the eigenparameter). This work illustrates how the potential as well as the exact boundary conditions can be uniquely reconstructed....
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