Turkish Journal of Mathematics
Abstract
In this paper, we discuss the half inverse problem for the Sturm-Liouville operator with boundary conditions dependent on the spectral parameter and show that if q(x) is prescribed on [\frac{\pi}{2},\pi], then one spectrum is sufficient to determine the potential q(x) on the whole interval [0,\pi] and coefficient function \frac{a_1\lambda+b_1}{c_1\lambda+d_1} of the boundary condition.
DOI
10.3906/mat-1109-28
Keywords
Half inverse problem, Sturm-Liouville operator, boundary condition dependent on the spectral parameter
First Page
445
Last Page
454
Recommended Citation
WANG, Y, Yang, C. F, & HUANG, Z (2013). Half inverse problem for Sturm-Liouville operators with boundary conditions dependent on the spectral parameter. Turkish Journal of Mathematics 37 (3): 445-454. https://doi.org/10.3906/mat-1109-28
