Chuan Fu YANG, Zhen You HUANG, Yu Ping WANG

Half inverse problem for Sturm-Liouville operators with boundary conditions dependent on the spectral parameter

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{p}{2},p], then one spectrum is sufficient to determine the potential q(x) on the whole interval [0,p] and coefficient function \frac{a1l+b1}{c1l+d1} of the boundary condition.

Anahtar Kelimeler:

Half inverse problem, Sturm-Liouville operator, boundary condition dependent on the spectral parameter

Half inverse problem for Sturm-Liouville operators with boundary conditions dependent on the spectral parameter

Keywords:

Half inverse problem, Sturm-Liouville operator, boundary condition dependent on the spectral parameter,

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