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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 3, Pages 95–107 (Mi ivm7249)  
This article is cited in 44 scientific papers (total in 44 papers)

A majorant criterion for the total preservation of global solvability of controlled functional operator equation

A. V. Chernov

Chair of Mathematical Physics, Nizhni Novgorod State University, Nizhni Novgorod, Russia
Full-text PDF (257 kB) Citations (44)
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Abstract: For a nonlinear controlled functional operator equation in the Banach ideal space we prove a uniqueness theorem and also a theorem concerning sufficient conditions of global solvability for all controls from a pointwise bounded set. The second of these two theorems is proved subject to global solvability of some majorant equation for the control family mentioned above. The procedure of reduction of controlled initial boundary value problems to the equation under study is illustrated by examples.
Keywords: total preservation of global solvability, functional operator equation, majorant equation, uniqueness theorem.
Received: 15.07.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 3, Pages 85–95
DOI: https://doi.org/10.3103/S1066369X11030108
Bibliographic databases:
Document Type: Article
UDC: 517.988+517.977.56
Language: Russian
Citation: A. V. Chernov, “A majorant criterion for the total preservation of global solvability of controlled functional operator equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 3, 95–107; Russian Math. (Iz. VUZ), 55:3 (2011), 85–95
Citation in format AMSBIB
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\by A.~V.~Chernov
\paper A majorant criterion for the total preservation of global solvability of controlled functional operator equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 3
\pages 95--107
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 3
\pages 85--95
\crossref{https://doi.org/10.3103/S1066369X11030108}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79953021638}
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    • This publication is cited in the following 44 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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