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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 9, Pages 3–10 (Mi ivm1700)  
On a spline-projection method for ill-posed integrodifferential equations

Yu. R. Agachev

Kazan State University
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Abstract: In this paper we consider the general linear boundary value problem for ill-posed integrodifferential equations of an arbitrarily fixed finite order. We theoretically substantiate one version of the general spline-projection method. In particular, the obtained general results allow us to deduce the convergence of the spline methods of collocation and subdomains.
Keywords: Sobolev space, integrodifferential equation, polynomial spline, projection method, convergence.
Received: 27.10.2006
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 9, Pages 1–8
DOI: https://doi.org/10.3103/S1066369X08090016
Bibliographic databases:
UDC: 517.96:519.6
Language: Russian
Citation: Yu. R. Agachev, “On a spline-projection method for ill-posed integrodifferential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 9, 3–10; Russian Math. (Iz. VUZ), 52:9 (2008), 1–8
Citation in format AMSBIB
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\by Yu.~R.~Agachev
\paper On a spline-projection method for ill-posed integrodifferential equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 9
\pages 3--10
\mathnet{http://mi.mathnet.ru/ivm1700}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2468301}
\zmath{https://zbmath.org/?q=an:1176.65151}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 9
\pages 1--8
\crossref{https://doi.org/10.3103/S1066369X08090016}
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