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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 11, Pages 60–74 (Mi ivm9413)  
This article is cited in 7 scientific papers (total in 7 papers)

On the total preservation of univalent global solvability for a first kind operator equation with controlled added nonlinearity

A. V. Chernovab

a Nizhni Novgorod State University named after N.I. Lobachevskii, 23 Gagarin Ave., Nizhni Novgorod, 603950 Russia
b Nizhni Novgorod State Technical University named after R.E. Alekseev, 24 Minin str., Nizhni Novgorod, 603950 Russia
Full-text PDF (280 kB) Citations (7)
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Abstract: For a Cauchy problem associated with an evolutionary operator equation of first kind with controlled additional term depending nonlinearly on a phase variable in a Banach space we obtain sufficient conditions of the total (with respect to a whole set of admissible controls) preservation of univalent global solvability, and also uniform estimate for solutions. As examples we consider initial boundary value problems associated with a pseudoparabolic equation and a system of Oskolkov equations.
Keywords: evolutionary operator equation of first kind in a Banach space, controlled nonlinearity, total preservation of global solvability, pseudoparabolic equation, system of Oskolkov equations.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1727
Received: 27.10.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 11, Pages 53–66
DOI: https://doi.org/10.3103/S1066369X18110063
Bibliographic databases:
Document Type: Article
UDC: 517.957 : 517.988 : 517.977
Language: Russian
Citation: A. V. Chernov, “On the total preservation of univalent global solvability for a first kind operator equation with controlled added nonlinearity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 11, 60–74; Russian Math. (Iz. VUZ), 62:11 (2018), 53–66
Citation in format AMSBIB
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    • This publication is cited in the following 7 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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