ON A CLASS OF DIRAC OPERATORS WITH EIGENVALUE NONLINEARLY DEPENDENT TO BOUNDARY CONDITION
NİLÜFER TOPSAKAL *
Department of Mathematics Faculty of Art and Sci. Cumhuriyet University 58140, Sivas, Turkey.
RAUF AMİROV
Department of Mathematics Faculty of Art and Sci. Cumhuriyet University 58140, Sivas, Turkey.
*Author to whom correspondence should be addressed.
Abstract
Aims: In this study, a class of Dirac operators with boundary conditions depend on the m−th degree polynomial of spectral parameter have been considered.
Results: Properties of spectral characteristic are investigated and uniqueness theorems for the inverse problem are proved for this operator.
Keywords: Dirac operator, discontinuous condition, inverse problem.