Some Asymptotic Formulae For Spectra of Inverse Elgenvalue Problems

The study of inverse eigenvalue problems of differential equations has attracted a considerable and increasing interest in recent years because of their many immediate practical applications in physical world.Inverse problems are quite different in character from the more familiar direct problems of differential equations. direct problems ask us to develop the solution from the data,whereas inverse problems ask us to recover the data from the solutionOur study, in this thesis, is Concerned with inverse eigenvalue problems, in the sense that we determine the geometric structure of the domains from the complete knowledge of the eigenvalues of laplace operator.