Around Ovsyannikov's method

Finkelshtein, Dmitri

dc.contributor.author	Finkelshtein, Dmitri
dc.date.accessioned	2024-11-11T09:22:19Z
dc.date.available	2024-11-11T09:22:19Z
dc.date.issued	2015
dc.identifier.citation	Finkelshtein, D. Around Ovsyannikov's method / D. Finkelshtein // Methods of Functional Analysis and Topology : Quarterly journal. – 2015. - Vol. 21, № 2. - pp. 134-150.	uk
dc.identifier.uri	http://enpuir.npu.edu.ua/handle/123456789/46671
dc.description.abstract	We study existence, uniqueness, and a limiting behavior of solutions to an abstract linear evolution equation in a scale of Banach spaces. The generator of the equation is a perturbation of the operator which satisfies the classical assumptions of Ovsyannikov’s method by a generator of a C0-semigroup acting in each of the spaces of the scale. The results are (slightly modified) abstract version of those considered in [10] for a particular equation. An application to a birth-and-death stochastic dynamics in the continuum is considered.	uk
dc.language.iso	en	uk
dc.subject	Ovsyannikov’s method	uk
dc.subject	scale of spaces	uk
dc.subject	evolution equations	uk
dc.subject	birth-and-death dynamics	uk
dc.subject	Vlasov scaling	uk
dc.subject	kinetic equation	uk
dc.title	Around Ovsyannikov's method	uk
dc.type	Article	uk