Fredholm Solvability of a Periodic Neumann Problem for a Linear Telegraph Equation

We investigate a periodic problem for the linear telegraph equation utt − uxx + 2µut = f(x, t) with Neumann boundary conditions. We prove that the operator of the problem is modeled by a Fredholm operator of index zero in the scale of Sobolev spaces of periodic functions. This result is stable un...

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Bibliographic Details
Date:2013
Main Author: Kmit, I.
Format: Article
Language:English
Published: Інститут математики НАН України 2013
Series:Український математичний журнал
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Fredholm Solvability of a Periodic Neumann Problem for a Linear Telegraph Equation / I. Kmit // Український математичний журнал. — 2013. — Т. 65, № 3. — С. 381-391. — Бібліогр.: 24 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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