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Solution of the inverse spectral problem...

Buterin, S. A....

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Solution of the inverse spectral problem for a convolution integro-differential operator with Robin boundary conditions by Buterin, S. A. ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	23-04-2015
Summary	The operator of double differentiation on a finite interval with Robin boundary conditions perturbed by the composition of a Volterra convolution operator and the differentiation one is considered. We study the inverse problem of recovering the convolution kernel along with a coefficient of the boundary conditions from the spectrum. We prove the uniqueness theorem and that the standard asymptotics is a necessary and sufficient condition for an arbitrary sequence of complex numbers to be the spectrum of such an operator. A constructive procedure for solving the inverse problem is given.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/1504.06052

Citation

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AMA 11th EditionReferences

Buterin, S. A.. Solution of the inverse spectral problem for a convolution integro-differential operator with Robin boundary conditions. N.A. April 23, 2015. Accessed October 03, 2025. https://online.provdatabase.com/cite/18530

APA 7th EditionReferences

Buterin, S. A.. (2015). Solution of the inverse spectral problem for a convolution integro-differential operator with Robin boundary conditions. N.A. https://online.provdatabase.com/cite/18530

Chicago 17th EditionReferences

Buterin, S. A.. Solution of the inverse spectral problem for a convolution integro-differential operator with Robin boundary conditions. N.A. 2015. https://online.provdatabase.com/cite/18530

HarvardReferences

Buterin, S. A.. (2015). Solution of the inverse spectral problem for a convolution integro-differential operator with Robin boundary conditions. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18530. (Accessed 03 October 2025).

Harvard AustraliaReferences

Buterin, S. A., 2015, Solution of the inverse spectral problem for a convolution integro-differential operator with Robin boundary conditions, N.A, viewed 03 October 2025, <https://online.provdatabase.com/cite/18530>

MLA 9th EditionWorks Cited

Buterin, S. A.. Solution of the inverse spectral problem for a convolution integro-differential operator with Robin boundary conditions. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18530.

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