Inverse problems for the boundary value problem with the interior nodal subsets

Abstract

In this paper, inverse nodal problems for Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter were studied. The authors showed that some uniqueness theorems on the potential function hold by the Weyl function, respectively.

Keywords:

• Inverse nodal problem
• Sturm–Liouville operator
• potential
• the interior twin-dense nodal subset
• spectral parameter

AMS Subject Classifications:

• 34A55
• 34B24
• 47E05

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was partially supported by Mathematics Research Promotion Center of Taiwan [grand number 104-67].