Solutions of an infinite system of integral equations of Volterra-Stieltjes type in the sequence spaces $\ell_{p} (1&lt;p&lt;\infty)$ and $c_{0}$

Ayub Samadi,M Mosaee Avini,M Mursaleen

doi:10.3934/math.2020246

Solutions of an infinite system of integral equations of Volterra-Stieltjes type in the sequence spaces $\ell_{p} (1<p<\infty)$ and $c_{0}$

Ayub Samadi, M Mosaee Avini + Show 1 more

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https://doi.org/10.3934/math.2020246

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Journal: AIMS Mathematics	Publication Date: Jan 1, 2020
Citations: 6	License type: cc-by

Affiliation: Islamic Azad University, Tehran, China Medical University Hospital, China Medical University, Aligarh Muslim University, Asian University

#Infinite System Of Integral Equations #Generalization Of Darbo + Show 8 more

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Abstract

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.

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