Wellposedness and controllability results of stochastic integrodifferential equations with noninstantaneous impulses and Rosenblatt process

Autor:	Ravikumar Kasinathan, Ramkumar Kasinathan, Varshini Sandrasekaran, Juan J. Nieto
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Integrodifferential evolution equations Resolvent operator Controllability Stability Rosenblatt process Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
Zdroj:	Fixed Point Theory and Algorithms for Sciences and Engineering, Vol 2023, Iss 1, Pp 1-23 (2023)
Druh dokumentu:	article
ISSN:	2730-5422
DOI:	10.1186/s13663-023-00744-z
Popis:	Abstract The purpose of this work is to investigate a novel class of noninstantaneous impulsive stochastic integrodifferential equations (SIDEs) driven by Brownian motion and Rosenblatt process. We construct a new set of adequate assumptions for the existence and uniqueness of mild solutions using stochastic analysis, analytic semigroup theory, integral equation theory, and a fixed point methodology. Additionally, we study the asymptotic behavior of mild solutions and provide stochastic system controllability results. Finally, we include an example to illustrate the application of our main findings.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/3203a5714c11468aa1ab9a8741a23d86 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.