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• W4386457332 abstract "In this paper, we, for the first time, prove the local solvability and stability of an inverse spectral problem for higher-order (n>3) differential operators with distribution coefficients. The inverse problem consists of the recovery of differential equation coefficients from (n−1) spectra and the corresponding weight numbers. The proof method is constructive. It is based on the reduction of the nonlinear inverse problem to a linear equation in the Banach space of bounded infinite sequences. We prove that, under a small perturbation of the spectral data, the main equation remains uniquely solvable. Furthermore, we estimate the differences of the coefficients in the corresponding functional spaces." @default.
• W4386457332 created "2023-09-06" @default.
• W4386457332 creator A5067453793 @default.
• W4386457332 date "2023-09-05" @default.
• W4386457332 modified "2023-09-27" @default.
• W4386457332 title "Local Solvability and Stability of an Inverse Spectral Problem for Higher-Order Differential Operators" @default.
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• W4386457332 doi "https://doi.org/10.3390/math11183818" @default.
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