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 作者：G.A. Kuznetsov , M.M. Yakupov 来源：[J].Vestn. Chelyab. Univ., Ser. 3, Mat. Mekh. Inform., 2002, Vol.2002 (1(6)), pp.92-103ZBMATH 摘要：Summary: The Cauchy-Dirichlet problem for the title system is considered, and it is shown that the phase space of the problem is a simple Banach $C^\infty$-manifold.
 作者：S.A. Zagrebina , M.M. Yakupov 来源：[J].ZBMATH 摘要：The authors analyse the unique solvability of the Cauchy problem for a semilinear Sobolev type equation with a relatively $p$-sectorial operator, and the stability its solutions near the origin. The thermoconvection problem for the Oskolkov equation modeling the dynamics of an in...
 作者：G.A. Sviridyuk , M.M. Yakupov 来源：[J].Differ. Equations(IF 0.42), 1996, Vol.32 (11), pp.1535-1540ZBMATH 摘要：The paper is devoted to the solvability of the Cauchy-Dirichlet problem $$\psi (x,y,0)= \psi_0 (x,y),\ (x,y) \in\Omega \subset \bbfR^2;\ \psi (x,y,t) =\nabla^2 \psi(x,y,t),\ (x,y,t) \in\partial \Omega \times\bbfR,$$ for the Oskolkov-type equation (1-\chi \nabla^2) \nabla^2 \par...
 作者：G.A. Sviridyuk , M.M. Yakupov 来源：[J].ZBMATH 摘要：The authors give a survey of concepts from set theory, category theory and topology which are relevant to functional analysis. The notion of bornology on a set is introduced and its relation to linearity and topology is studied and some statements proved. The results are applied ...