Existence and Ulam stability of solution for some backward impulsive differential equations on Banach spaces

Autor:	Abdelouahab Mahmoudi, Arezki Kessi
Rok vydání:	2021
Předmět:	Mathematics::Functional Analysis Pure mathematics Differential equation General Mathematics Banach space Stability (probability) Mathematics
Zdroj:	Armenian Journal of Mathematics. 13:1-21
ISSN:	1829-1163
DOI:	10.52737/18291163-2021.13.8-1-21
Popis:	In this paper, we study the existence and the Ulam stability of a solution to nonlinear backward impulsive differential equations with local or nonlocal conditions in Banach spaces. Using well-known classical fixed point theorems, we prove the existence of a solution. Subsequently, we prove the generalized Ulam--Hyers--Rassias stability of the solution to the problem. The obtained results are illustrated by some examples.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e0977a757700e2068a9946129dd5976b https://doi.org/10.52737/18291163-2021.13.8-1-21 Zobrazit plný text záznamu Plný text ve formátu PDF