Solvability of a~mixed problem for some of higher-order Sobolev-type strongly nonlinear equations
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 4, pp. 14-30

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We study the solvability of a mixed initial-boundary value problem for Sobolev-type strongly nonlinear equations of order $2m$ in the space variable. The existence and uniqueness of regular solutions are proved.
Mots-clés : Sobolev-type equation, existence
Keywords: strongly nonlinear divergent and nondivergent equations, mixed problem, regular solution, uniqueness.
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     author = {Sh. Amirov and A. I. Kozhanov},
     title = {Solvability of a~mixed problem for some of higher-order {Sobolev-type} strongly nonlinear equations},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {14--30},
     publisher = {mathdoc},
     volume = {17},
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     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2014_17_4_a1/}
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Sh. Amirov; A. I. Kozhanov. Solvability of a~mixed problem for some of higher-order Sobolev-type strongly nonlinear equations. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 4, pp. 14-30. http://geodesic.mathdoc.fr/item/SJIM_2014_17_4_a1/