Inverse problems for difference equations with quadratic eigenparameter dependent boundary conditions

Abstract

This paper inductively investigates an inverse problem for difference boundary value problems with boundary conditions that depend quadratically on the eigenparameter. In particular, given the eigenvalues and the weights, we provide an algorithm to uniquely reconstruct the potential.

Mathematics Subject Classification (2010):

• 39A05
• 34K29
• 65Q10
• 34K10

Key words:

• Difference equations
• inverse problem
• boundary value problems
• eigenparameter dependent