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Recovering Differential Operators on the Half-Line with Indefinite Discontinuous Weights

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Non-self-adjoint second-order differential operators on the half-line with indefinite discontinuous weights are studied. Properties of spectral characteristics are established and inverse problems of recovering operators from their spectral characteristics are… Click to show full abstract

Non-self-adjoint second-order differential operators on the half-line with indefinite discontinuous weights are studied. Properties of spectral characteristics are established and inverse problems of recovering operators from their spectral characteristics are investigated. For these class of nonlinear inverse problems algorithms for constructing the global solutions are developed, and uniqueness theorems are proved.

Keywords: discontinuous weights; indefinite discontinuous; half line; line indefinite; differential operators; operators half

Journal Title: Tamkang Journal of Mathematics
Year Published: 2020

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