Turkish Journal of Mathematics
Inverse nodal problems for Dirac type integro differential system with a nonlocal boundary condition
DOI
10.55730/1300-0098.3278
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
First Page
2430
Last Page
2439
Recommended Citation
KESKİN, BAKİ
(2022)
"Inverse nodal problems for Dirac type integro differential system with a nonlocal boundary condition,"
Turkish Journal of Mathematics: Vol. 46:
No.
6, Article 26.
https://doi.org/10.55730/1300-0098.3278
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss6/26