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Reconstruction of a convolution operator from the right-hand side on the semiaxis.
- Source :
-
Journal of Inverse & Ill-Posed Problems . Oct2015, Vol. 23 Issue 5, p543-550. 8p. - Publication Year :
- 2015
-
Abstract
- In this paper, a Volterra integral equation of the first kind in convolutions on the semiaxis when the integral operator kernel and the right-hand side of the equation have a bounded support is considered. An inverse problem of reconstructing the solution to the equation and the integral operator kernel from values of the right-hand side is formulated. Necessary and sufficient conditions for the inverse problem solvability are obtained. A uniqueness and stability theorem is proved. Explicit formulas for reconstruction of the solution and kernel are obtained. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09280219
- Volume :
- 23
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Inverse & Ill-Posed Problems
- Publication Type :
- Academic Journal
- Accession number :
- 110120134
- Full Text :
- https://doi.org/10.1515/jiip-2013-0030