Attractors of multivalued semi-flows generated by solutions of optimal control problems

Autor:	O. V. Kapustyan, José Valero, Michael Z. Zgurovsky, Pavlo O. Kasyanov
Rok vydání:	2019
Předmět:	010101 applied mathematics Applied Mathematics 010102 general mathematics Attractor Reaction–diffusion system Discrete Mathematics and Combinatorics Applied mathematics 0101 mathematics Optimal control Dynamical system 01 natural sciences Mathematics
Zdroj:	Discrete & Continuous Dynamical Systems - B. 24:1229-1242
ISSN:	1553-524X
DOI:	10.3934/dcdsb.2019013
Popis:	In this paper we study the dynamical system generated by the solutions of optimal control problems. We obtain suitable conditions under which such systems generate multivalued semiprocesses. We prove the existence of uniform attractors for the multivalued semiprocess generated by the solutions of controlled reaction-diffusion equations and study its properties.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::08e32ce039d04882ccb5a2b7b87af01d https://doi.org/10.3934/dcdsb.2019013 Zobrazit plný text záznamu