Solutions of an infinite system of integral equations of Volterra-Stieltjes type in the sequence spaces $\ell_{p} (1

AIMS Mathematics

Ayub Samadi¹  M. Mosaee Avini¹  M. Mursaleen² 

[1] 1 Department of Mathematics, Miyaneh Branch, Islamic Azad University, Miyaneh, Iran;2 Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan 3 Department of Mathematics, Aligarh Muslim University, Aligarh 202002 4 Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan, India;

关键词: banach spaces $\ell_{p}$ and $c_{0}$;    darbo's fixed point theorem;    measure of noncompactness;    integral equations;   

DOI  :  10.3934/math.2020246

来源: DOAJ

【 摘 要 】

In this paper, by applying the technique of measure of noncompactness and a new generalization of Darbo’s theorem, we study the existence of solutions for an infinite system of integral equations in two variables. The obtained results extend and generalize some related results in previous work. Finally, some examples are included to ascertain the usefulness of the outcome.

【 授权许可】

Unknown