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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
Inverse spectral problem of reconstructing one-dimensional perturbation of integral Volterra operator
S. A. Buterin Saratov State University
Abstract:
An integral operator representable as the sum of a Volterra operator and one-dimensional one is considered, when the inverse operator for Volterra one is an integro-differential operator of second order. The inverse problem of reconstruction of the one-dimensional item from spectral data provided that the Volterra component is known a priori is investigated. The uniqueness of the solution of the inverse problem is proved and conditions are obtained that are necessary and sufficient for its solvability.
Citation:
S. A. Buterin, “Inverse spectral problem of reconstructing one-dimensional perturbation of integral Volterra operator”, Izv. Saratov Univ. Math. Mech. Inform., 6:1-2 (2006), 3–11
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https://www.mathnet.ru/eng/isu656 https://www.mathnet.ru/eng/isu/v6/i1/p3
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Abstract page: | 163 | Full-text PDF : | 73 | References: | 36 |
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