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Russian Academy of Sciences. Izvestiya Mathematics, 1995, Volume 44, Issue 2, Pages 373–394
DOI: https://doi.org/10.1070/IM1995v044n02ABEH001602 (Mi im808) 		 
This article is cited in 34 scientific papers (total in 34 papers)

Reconstruction of the nonhomogeneous term in an abstract evolution equation

A. I. Prilepko, I. V. Tikhonov
English version PDF (1303 kB) Citations (34) Russian version article
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DOI: https://doi.org/10.1070/IM1995v044n02ABEH001602
Abstract: A nonhomogeneous evolution equation the right-hand side of which is unknown is considered in a Banach space. For the determination of the unknown right-hand side, in addition to the Cauchy condition, a special overdetermination is given. In the paper a systematic theory for the investigation of the problem indicated is constructed, and sufficient conditions for the existence and uniqueness of solution are given. Special attention is paid to certain problems of perturbation theory.
Received: 18.03.1992
Bibliographic databases:
UDC: 517.9
MSC: 47D06
Language: English
Original paper language: Russian
Citation: A. I. Prilepko, I. V. Tikhonov, “Reconstruction of the nonhomogeneous term in an abstract evolution equation”, Russian Acad. Sci. Izv. Math., 44:2 (1995), 373–394
Citation in format AMSBIB
\Bibitem{PriTik94}
\by A.~I.~Prilepko, I.~V.~Tikhonov
\paper Reconstruction of the nonhomogeneous term in an abstract evolution equation
\jour Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 44
\issue 2
\pages 373--394
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\crossref{https://doi.org/10.1070/IM1995v044n02ABEH001602}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1275907}
\zmath{https://zbmath.org/?q=an:0826.47028}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1995IzMat..44..373P}
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    • This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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