Title of article :
Half inverse problem for Sturm-Liouville operators with boundary conditions dependent on the spectral parameter
Author/Authors :
WANG, Yu Ping Nanjing Forestry University - Department of Applied Mathematics, China , YANG, Chuan Fu Nanjing University of Science and Technology - Department of Applied Mathematics, China , HUANG, Zhen You Nanjing University of Science and Technology - Department of Applied Mathematics, China
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_1lambda+b_1}{c_1lambda+d_1} of the boundary condition.
Keywords :
Consider the following Sturm , Liouville operator L defined by
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
