On the Well-possedness of the Problem of Reconstruction of Non-separate Boundary Conditions

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146525We consider an inverse spectral problem with the third-order differential equation and the non-separated boundary conditions. Two theorems on the uniqueness of the solution of this problem are proved, and a method for establishing the unknown conditions is obtained, using 19 eigenvalues. The method of approximate calculation of unknown boundary conditions is explained, with the help of an example.9 pagesSpectral Theory74H45; 65L09; 34A55On the Well-possedness of the Problem of Reconstruction of Non-separate Boundary Conditionstext