TITLE:
Inverse Nodal Problems for the Sturm-Liouville Operator with Some Nonlocal Integral Conditions
AUTHORS:
Xiaojuan Qin, Yunlan Gao, Congmin Yang
KEYWORDS:
Sturm-Liouville Operator, Inverse Nodal Problems, Nonlocal Integral Conditions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.1,
January
16,
2019
ABSTRACT: In this paper, we study three
inverse nodal problems for the Sturm-Liouville operator with different nonlocal
integral conditions. We get the conclusion that the potential function can be
determined by a dense nodal subset uniquely. And we present some constructive
procedures to solve the inverse nodal problems.