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.
Citation:
N. N. Solovyova, S. A. Zagrebina, “Multipoint initial-final value problem for Hoff equation in quasi-Sobolev spaces”, J. Comp. Eng. Math., 4:2 (2017), 73–79
\Bibitem{SolZag17}
\by N.~N.~Solovyova, S.~A.~Zagrebina
\paper Multipoint initial-final value problem for Hoff equation in quasi-Sobolev spaces
\jour J. Comp. Eng. Math.
\yr 2017
\vol 4
\issue 2
\pages 73--79
\mathnet{http://mi.mathnet.ru/jcem93}
\crossref{https://doi.org/10.14529/jcem170208}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3670943}
\elib{https://elibrary.ru/item.asp?id=29454749}
Linking options:
https://www.mathnet.ru/eng/jcem93
https://www.mathnet.ru/eng/jcem/v4/i2/p73
This publication is cited in the following 1 articles:
O. G. Kitaeva, D. E. Shafranov, G. A. Sviridyuk, “Eksponentsialnye dikhotomii v modeli Barenblatta–Zheltova–Kochinoi v prostranstvakh differentsialnykh form s «shumami»”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 12:2 (2019), 47–57