ON INVERSE NODAL PROBLEM FOR STURM-LIOUVILLE OPERATOR

In this paper we propose a solution to a certain inverse Sturm-Liouville problem, which allows one to determine the potential and the boundary conditions of the differential operator on the values of one of the differentials of Gateaux zeroes x(k,n)[q] is an element of(0,pi) of some eigenfunction (y) over cap (x, q, lambda(n)[q]) for an increment w from the set W. As W, we consider some sets of classical and generalized functions.