Solution of inverse problems for sturm-liouville problem energy-dependent potential

This thesis consists of six sections incliuding the references. In …rst and second sections introduction and some de…nitions and theorems used in the main sections are given, respectively. In third section, Ambarzumyan's theorem for Sturm-Liouville equation with spectral parameter in boundary condition is expressed and proved. In fourth section, we consider Sturm-Liouville problem energy dependent potential with spectral parameter in boundary condition. We give asymptotic formulas for eigenvalues and also, we proved that if the spectrums are the same for two problem, then  R 0 (¡» ) = 0 Finally, we show that if the spectrum is (0), then  = 0 almost everywhere on [0,] Finally, in the …fth section, we give some conclutions.