System of Non-Linear Volterra Integral Equations in a Direct-Sum of Hilbert Spaces

Autor:	Jabar Hassan, Haider Majeed, Ghassan Ezzulddin Arif
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	system of non-linear integral equations Reproducing kernel Hilbert spaces Fixed point theorem Physics QC1-999
Zdroj:	Journal of Nigerian Society of Physical Sciences, Vol 4, Iss 4 (2022)
Druh dokumentu:	article
ISSN:	2714-2817 2714-4704
DOI:	10.46481/jnsps.2022.1021
Popis:	We use the contraction mapping theorem to present the existence and uniqueness of solutions in a short time to a system of non-linear Volterra integral equations in a certain type of direct-sum H[a; b] of a Hilbert space V[a; b]. We extend the local existence and uniqueness of solutions to the global existence and uniqueness of solutions to the proposed problem. Because the kernel function is a transcendental function in H[a; b] on the interval [a; b], the results are novel and very important in numerical approximation.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/f8abd9724ba64a9db543549f8d8bd6db Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF