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Start Over Descriptor "jost solutions" Topic boundary value problems Publication Year Range This year
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1. Inverse scattering problem for a third-order operator with local potential.

Author

Zolotarev, V.A.

Subjects
*INVERSE problems, *INVERSE scattering transform, *SINGULAR integrals, *BOUNDARY value problems, *LINEAR systems
Abstract

Inverse scattering problem for the operator representing sum of the operator of the third derivative on semi-axis and of the operator of multiplication by a real function is studied in this paper. Properties of Jost solutions of such an operator are studied and it is shown that these Jost solutions are solutions of the Riemann boundary value problem on a system of rays. The main system of linear singular integral equations is derived. This system is equivalent to the solution of inverse scattering problem. [ABSTRACT FROM AUTHOR]

Published
2024
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