# Article

Ufa Mathematical Journal
Volume 5, Number 4, pp. 112-124

# On inverse nodal problem for Sturm-Liouville operator

Trynin A.Yu.

DOI:10.13108/2013-5-4-112

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 $x_ {k, n} [q ] \in (0, \pi)$ of some eigenfunction $\hat y (x, q, \lambda_n [q])$ for an increment $w$ from the set $\mathbb W$. As $\mathbb W$, we consider some sets of classical and generalized functions.