Inverse Nodal Problems for Dirac- Type Integro-Differential Operators with Linear Functions in the Boundary Condition
Citation
Baki Keskin & H. Dilara Tel (2022) Inverse Nodal Problems for Dirac- Type Integro-Differential Operators with Linear Functions in the Boundary Condition, Numerical Functional Analysis and Optimization, 43:10, 1289-1301Abstract
In this article, Dirac-type integro-differential operator with linear
functions in the boundary condition is considered. We
obtain asymptotic expressions for the solution of the differential
system and derive the large eigenvalues and nodal points.
We also give a constructive procedure for solving an inverse
nodal problem. We prove that a dense subset of the nodes
determines the coefficients of the differential part of the operator
and gives partial information for the integral part of it.