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JOURNALS // Journal of Computational and Engineering Mathematics // Archive

J. Comp. Eng. Math., 2017 Volume 4, Issue 2, Pages 73–79 (Mi jcem93)

This article is cited in 1 paper

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Multipoint initial-final value problem for Hoff equation in quasi-Sobolev spaces

N. N. Solovyova, S. A. Zagrebina

South Ural State University (Chelyabinsk, Russian Federation)

Abstract: We consider an analog of the linear Hoff equation in quasi-Sobolev spaces with multipoint initial-final value condition. The research is based on the abstract results obtained for the Sobolev type equation with multipoint initial-final value condition in the quasi-Banach spaces of sequences. The unique solvability of the studied problem is obtained.

Keywords: multipoint initial-final value problem, quasi-Banach space of sequences, splitting theorem, Hoff equation.

UDC: 517.9

MSC: 47D06, 47B37, 46B45

Received: 07.06.2017

Language: English

DOI: 10.14529/jcem170208



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