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Vladikavkazskii Matematicheskii Zhurnal, 2010, Volume 12, Number 2, Pages 46–61 (Mi vmj11)  
On the solvability of a boundary value problem for quasi-linear system equations of mixed and composite type in a multidimensional domain

M. A. Nurmamedov

Lankaran State University, Azerbaijan
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Abstract: Quasi-linear system of mixed-composite type with changing time direction in multidimensional domain is studied. The existence and uniqueness of generalized and regular solutions of boundary value problem are proved in weighted Sobolev space.
Key words: systems of mixed-composite type, forward-backward equation, weighted Sobolev space, regular and generalized solution, methods of continuation by parameter.
Received: 09.11.2008
Bibliographic databases:
Document Type: Article
UDC: 517.95, 517.946
Language: Russian
Citation: M. A. Nurmamedov, “On the solvability of a boundary value problem for quasi-linear system equations of mixed and composite type in a multidimensional domain”, Vladikavkaz. Mat. Zh., 12:2 (2010), 46–61
Citation in format AMSBIB
\Bibitem{Nur10}
\by M.~A.~Nurmamedov
\paper On the solvability of a boundary value problem for quasi-linear system equations of mixed and composite type in a multidimensional domain
\jour Vladikavkaz. Mat. Zh.
\yr 2010
\vol 12
\issue 2
\pages 46--61
\mathnet{http://mi.mathnet.ru/vmj11}
\elib{https://elibrary.ru/item.asp?id=14868813}
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