GLOBAL ATTRACTORS AND ASYMPTOTIC GAIN PROPERTY FOR NON-AUTONOMOUS INCLUSION OF REACTION-DIFFUSION TYPE

dc.contributor.author	Kapustyan, Oleksiy V.
dc.contributor.author	Yusypiv, Taras V.
dc.contributor.author	Ospanov, M.
dc.contributor.author	Alday, M.
dc.date.accessioned	2026-03-26T04:57:02Z
dc.date.available	2026-03-26T04:57:02Z
dc.date.issued	2025
dc.identifier.issn	2663–6824
dc.identifier.other	DOI 10.15421/142501
dc.identifier.uri	http://repository.enu.kz/handle/enu/30690
dc.description.abstract	We investigate global resolvability and stability of attractors for parabolic inclusion with multi-valued interaction function of reaction-diffusion type and non-autonomous disturbances. For the class of L2 -disturbances, we prove existence of global solutions in the phase space L2 . In the class of translation-bounded disturbances we prove that obtained global solutions generate the family of multi-valued semiprocesses which possesses a uniform attractor. Finally, for L∞-disturbances we show that the global attractor of unperturbed system is stable w.r.t. disturbances in the asymptotic gain sense.	ru
dc.language.iso	en	ru
dc.publisher	JOURNAL OF OPTIMIZATION, DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS (JODEA)	ru
dc.relation.ispartofseries	Volume 33, Issue 1,;pp. 1–1
dc.subject	parabolic inclusion	ru
dc.subject	reaction-diffusion	ru
dc.subject	uniform attractor	ru
dc.subject	stability	ru
dc.subject	asymptotic gain	ru
dc.title	GLOBAL ATTRACTORS AND ASYMPTOTIC GAIN PROPERTY FOR NON-AUTONOMOUS INCLUSION OF REACTION-DIFFUSION TYPE	ru
dc.type	Article	ru