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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 1, Pages 49–53 (Mi ivm8418)  
Estimation of the norm of an operator inverse to a differential one

S. V. Maryushenkov

Chair of Mathematical Methods of Operations Research, Voronezh State University, Voronezh, Russia
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Abstract: We obtain an estimate for the norm of an operator inverse to a differential one acting in Lebesgue spaces of functions defined on the positive real semiaxis.
Keywords: linear differential operator, differential equation with initial condition from a subspace, estimates of bounded solutions of a differential equation.
Received: 20.12.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 1, Pages 43–47
DOI: https://doi.org/10.3103/S1066369X12010069
Bibliographic databases:
Document Type: Article
UDC: 517.937+517.983
Language: Russian
Citation: S. V. Maryushenkov, “Estimation of the norm of an operator inverse to a differential one”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 1, 49–53; Russian Math. (Iz. VUZ), 56:1 (2012), 43–47
Citation in format AMSBIB
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\by S.~V.~Maryushenkov
\paper Estimation of the norm of an operator inverse to a~differential one
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 1
\pages 49--53
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2975917}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 1
\pages 43--47
\crossref{https://doi.org/10.3103/S1066369X12010069}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862682280}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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