JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, vol.7, no.2, pp.559-580, 2017 (Journal Indexed in SCI)
Article / Article
Title of Journal :
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
Sturm-Louville equation, boundary value problems, spectral analysis of ordinary differential operators, transformation operator, integral representation, asymptotic formulas for eigenvalues, expansion formula, BOUNDARY-VALUE-PROBLEMS, EIGENVALUE PROBLEMS, SINGULAR POTENTIALS, SPECTRAL PROBLEMS, WAVE SPEED, OPERATORS, INTERVAL, SCATTERING, IMPEDANCE
In this study we derive the Gelfand-Levitan-Marchenko type main integral equation of the inverse problem for the boundary value problem L and prove the uniquely solvability of the main integral equation. Further, we give the solution of the inverse problem by the spectral data and by two spectrum.