Inverse nodal problems for Dirac type integro differential system with a nonlocal boundary condition

Authors: BAKİ KESKİN

Abstract: In this paper, the Dirac type integro differential system\ with a nonlocal integral boundary condition is considered. First, we derive the asymptotic expressions for the solutions and large eigenvalues. Second, we provide asymptotic expressions for the nodal points and prove that a dense subset of nodal points uniquely determines the boundary condition parameter and the potential function of the considered differential system. We also provide an effective procedure for solving the inverse nodal problem.

Keywords: Dirac operator, intego-differential operators, inverse nodal problems, nonlocal boundary conditions, boundary value problem

Full Text: PDF