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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 11, Pages 26–32 (Mi ivm8946)  
One projection method for linear equation of third order

P. V. Vinogradova, T. E. Koroleva

Chair of Higher Mathematics, Far Eastern State Transport University, 47 Seryshev str., Khabarovsk, 680021 Russia
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Abstract: In this paper we study the Galyorkin method with a special basis for a linear operator-differential equation of the third order in a separable Hilbert space. The projection method is based on the eigenvectors of the operator similar to the leading operator of an equation. We obtain estimates for the convergence rate of approximate solutions in uniform topology.
Keywords: operator-differential equation, Hilbert space, orthogonal projection, similar operator, convergence rate, Galyorkin method.
Received: 19.04.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 11, Pages 22–27
DOI: https://doi.org/10.3103/S1066369X14110036
Bibliographic databases:
Document Type: Article
UDC: 517.9+519.62
Language: Russian
Citation: P. V. Vinogradova, T. E. Koroleva, “One projection method for linear equation of third order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 11, 26–32; Russian Math. (Iz. VUZ), 58:11 (2014), 22–27
Citation in format AMSBIB
\Bibitem{VinKor14}
\by P.~V.~Vinogradova, T.~E.~Koroleva
\paper One projection method for linear equation of third order
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 11
\pages 26--32
\mathnet{http://mi.mathnet.ru/ivm8946}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 11
\pages 22--27
\crossref{https://doi.org/10.3103/S1066369X14110036}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84910110991}
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