Bilateral set-valued stochastic integral equations
Authors:
- Marek T. Malinowski,
- Donal O’Regan
Abstract
We investigate bilateral set-valued stochastic integral equations and these equations combine widening and narrrowing set-valued stochastic integral equations studied in literature. An existence and uniqueness theorem is established using approximate solutions. In addition stability of the solution with respect to small changes of the initial state and coe ffi cients is established, also we provide a result on boundedness of the solution, and an estimate on a distance between the exact solution and the approximate solution is given. Finally some implications for deterministic set-valued integral equations are presented.
- Record ID
- CUT1b19c08a84f34a068323585dafd1a722
- Publication categories
- ;
- Author
- Journal series
- Filomat, ISSN 0354-5180, e-ISSN 2406-0933
- Issue year
- 2018
- Vol
- 32
- No
- 9
- Pages
- 3253-3274
- Other elements of collation
- Bibliografia (na s.) - 3274; Bibliografia (liczba pozycji) - 35; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 32, Nr 9
- Keywords in English
- set-valued stochastic integral equation
- DOI
- DOI:10.2298/FIL1809253M Opening in a new tab
- URL
- http://www.pmf.ni.ac.rs/filomat-content/2018/32-9/FILOMAT%2032-9.html Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 25
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT1b19c08a84f34a068323585dafd1a722/
- URN
urn:pkr-prod:CUT1b19c08a84f34a068323585dafd1a722
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.