Uniform stability of the inverse spectral problem for a convolution integro-differential operator

作者：

Highlights：

• Global solution to a nonlinear inverse problem for integro-differential operators is given.

• Uniform stability of the inverse problem in a weighted L2-norm is established.

• Uniform stability of the inverse problem in a weighted uniform norm is established.

• An essential difference with the classical inverse Sturm–Liouville problem is revealed.

摘要

•Global solution to a nonlinear inverse problem for integro-differential operators is given.•Uniform stability of the inverse problem in a weighted L2-norm is established.•Uniform stability of the inverse problem in a weighted uniform norm is established.•An essential difference with the classical inverse Sturm–Liouville problem is revealed.

论文关键词：Integro-differential operator,Convolution,Inverse spectral problem,Uniform stability,Nonlinear integral equation,Uniform norm

论文评审过程：Received 29 October 2019, Revised 29 July 2020, Accepted 2 August 2020, Available online 8 September 2020, Version of Record 8 September 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125592