Existence of a bounded variation solution of a nonlinear integral equation in L1(R+)

Wagdy El-Sayed; Ragab O. Abd El-Rahman; Sheren A. Abd  El-Salam; Asmaa El Shahawy

doi:10.24297/jam.v21i.9317

Authors

Wagdy El-Sayed Department of mathematics and computer science, Faculty of Science, Alexandria University, Alexandria, Egypt
Ragab O. Abd El-Rahman Department of mathematics, Faculty of Science , Damanhour University, Damanhour, Egypt
Sheren A. Abd El-Salam Department of mathematics, Faculty of Science , Damanhour University, Damanhour, Egypt
Asmaa El Shahawy Department of mathematics, Faculty of Science , Damanhour University, Damanhour, Egypt

DOI:

https://doi.org/10.24297/jam.v21i.9317

Keywords:

Darbo fixed point theorem, Functions of bounded variation, Hausdorff measure of noncompactness, Volterra integral operator, Nemytskii operator

Abstract

In this paper we study the existence of a unique solution of a nonlinear integral equation in the space of bounded variation on an unbounded interval by using measure of noncompactness and Darbo fixed point theorem.

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References

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