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Vladikavkazskii Matematicheskii Zhurnal, 2014, Volume 16, Number 3, Pages 55–63 (Mi vmj513)  
This article is cited in 4 scientific papers (total in 4 papers)

On total preservation of global solvability for a Goursat problem associated with a controlled semilinear pseudoparabolic equation

A. V. Chernovab

a Nizhni Novgorod State Technical University, Nizhni Novgorod, Russia
b Lobachevski State University of Nizhni Novgorod, Nizhni Novgorod, Russia
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Abstract: We investigate a Goursat problem associated with a controlled fourth order semilinear equation of the pseudoparabolic type having various applications. Under some hypotheses we prove the total (with respect to the set of admissible controls) preservation of global solvability for the considered problem.
Key words: Goursat problem, semilinear controlled pseudoparabolic equation, total preservation of global solvability, functional operator equation of the Hammerstein type.
Received: 03.09.2013
Document Type: Article
UDC: 517.957+517.988+517.977.56
Language: Russian
Citation: A. V. Chernov, “On total preservation of global solvability for a Goursat problem associated with a controlled semilinear pseudoparabolic equation”, Vladikavkaz. Mat. Zh., 16:3 (2014), 55–63
Citation in format AMSBIB
\Bibitem{Che14}
\by A.~V.~Chernov
\paper On total preservation of global solvability for a~Goursat problem associated with a~controlled semilinear pseudoparabolic equation
\jour Vladikavkaz. Mat. Zh.
\yr 2014
\vol 16
\issue 3
\pages 55--63
\mathnet{http://mi.mathnet.ru/vmj513}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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