Solvability of infinite system of nonlinear convolution type integral equations in the tempered sequence space mβ(φ,p)

Autor:	Hamid Mehravaran, Hojjatollah Amiri Kayvanloo
Rok vydání:	2022
Předmět:	General Mathematics
Zdroj:	Asian-European Journal of Mathematics. 16
ISSN:	1793-7183 1793-5571
DOI:	10.1142/s1793557123500043
Popis:	In this paper, we first introduce the concept of tempered sequence space [Formula: see text]. Then, we construct a Hausdorff measure of noncompactness on this sequence space. Furthermore, by employing this measure of noncompactness we discuss the existence of solutions for an infinite system of nonlinear convolution differential equations in the tempered sequence space [Formula: see text]. Eventually, we demonstrate an example to show the effectiveness and usefulness of the obtained result.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3ee6317caa8af515bd1e422a5b452ce0 https://doi.org/10.1142/s1793557123500043 Zobrazit plný text záznamu