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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2013, Volume 10, Pages 150–169 (Mi semr405)  
Differentical equations, dynamical systems and optimal control

On some bondary-value problems for the third-order linear equations of the composite type

O. S. Zikirov

National University of Uzbekistan named after M. Ulugbek, Tashkent
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Abstract: In the present paper we study some boundary-value problems for a class of third-order composite type equations with Chapligin operator in the main part. We prove the theorems of the existence and uniqueness of classical solution for considered problems. The proof is based on an energy inequality and Fredgolm type integral equations.
Keywords: Boundary-value problem, composite type equation, Laplace operator, Green function, third-order PDE, energy integrals, Dirichlet problem, integral equations.
Received December 17, 2012, published February 27, 2013
Document Type: Article
UDC: 517.956.6
MSC: 35G15
Language: Russian
Citation: O. S. Zikirov, “On some bondary-value problems for the third-order linear equations of the composite type”, Sib. Èlektron. Mat. Izv., 10 (2013), 150–169
Citation in format AMSBIB
\Bibitem{Zik13}
\by O.~S.~Zikirov
\paper On some bondary-value problems for the third-order linear equations of the composite type
\jour Sib. \`Elektron. Mat. Izv.
\yr 2013
\vol 10
\pages 150--169
\mathnet{http://mi.mathnet.ru/semr405}
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