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

• Published in: Український математичний журнал
• Date: 2013
• Main Author: Kmit, I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165344
• 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.

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....