2017•Journal of Computational and Engineering MathematicsOpen access

Multipoint Initial-Final Value Problem for Hoff Equation in Quasi-Sobolev Spaces

N.N. Solovyova, С.А. Загребина

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.

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Key concepts: Sobolev space, Initial value problem, Mathematics, Banach space, Value (mathematics), Interpolation space, Mathematical analysis, Pure mathematics