The Total Preservation of Unique Global Solvability of the First Kind Operator Equation With Additional Controlled Nonlinearity View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2018-11

AUTHORS

A. V. Chernov

ABSTRACT

For the Cauchy problem associated with an evolutionary operator equation of the first kind with an additional controlled term which nonlinearly depends on the phase variable, in a Banach space, we establish conditions for the total (on the set of admissible controls) preservation of unique global solvability under variation of the control parameter. We also establish the uniform bound for solutions. As examples, we consider initial-boundary value problems that are associated with a pseudoparabolic equation and a system of Oskolkov equations. More... »

PAGES

53-66

Journal

TITLE

Russian Mathematics

ISSUE

11

VOLUME

62

Identifiers

URI

http://scigraph.springernature.com/pub.10.3103/s1066369x18110063

DOI

http://dx.doi.org/10.3103/s1066369x18110063

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1110265837


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