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Vladikavkaz. Mat. Zh., 2014, Volume 16, Number 3, Pages 55–63 (Mi vmj513)  

This article is cited in 2 scientific papers (total in 2 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

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.

Full text: PDF file (228 kB)
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UDC: 517.957+517.988+517.977.56
Received: 03.09.2013

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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. I. G. Mamedov, “O neklassicheskoi traktovke chetyrekhmernoi zadachi Gursa dlya odnogo giperbolicheskogo uravneniya”, Vladikavk. matem. zhurn., 17:4 (2015), 59–66  mathnet
    2. A. V. Chernov, “Total preservation of the solvability of the semilinear global electric circuit equation”, Differ. Equ., 54:8 (2018), 1073–1082  crossref  mathscinet  zmath  isi  scopus
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