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Inverse spectral problem for a third-order differential operator with non-local potential

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Spectral problem for a self-adjoint third-order differential operator with non-local potential on a finite interval is studied. Elementary functions that are analogues of sines and cosines for such operators are… Click to show full abstract

Spectral problem for a self-adjoint third-order differential operator with non-local potential on a finite interval is studied. Elementary functions that are analogues of sines and cosines for such operators are described. Direct and inverse problems for third-order operators with non-local potential are solved.

Keywords: non local; local potential; third order; spectral problem; order differential

Journal Title: Journal of Differential Equations
Year Published: 2021

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