INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, vol.23, no.8, pp.1306-1312, 2015 (Journal Indexed in SCI)
Article / Article
Title of Journal :
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
Sturm-Liouville equation, inverse nodal problem, parameter dependent boundary condition, discontinuity condition, SPECTRAL PROBLEMS, OPERATOR
In this work, the Sturm-Liouville problem with boundary and jump conditions dependent on the spectral parameter linearly is studied. We show that all coefficients of the problem can be uniquely determined by nodal points. Moreover, we give an algorithm for reconstruction of the potential function and the coefficient in the jump conditions.