Inverse problem for Sturm–Liouville differential operators with finite number of constant delays

Authors : Mohammad SHAHRIARI

Pages : 778-790

Doi:10.3906/mat-2001-80

View : 14 | Download : 6

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this manuscript,we study nonself-adjoint second-order differential operators with finite number of constant delays. We investigate the properties of the spectral characteristics and the inverse problem of recovering operators from their spectra. An inverse spectral problem is studied for recovering differential operator from the potential from spectra of two boundary value problems with one common boundary condition.The uniqueness theorem is proved for this inverse problem.
Keywords : Sturm Liouville differential operator, inverse problem, finite number of constant delays, asymptotic form of solution, eigenvalue