Journal of innovative applied mathematics and computational sciences
Volume 1, Numéro 1, Pages 31-39
2021-12-30

Existence And Asymptotic Stability Of Continuous Solutions For Integral Equations Of Product Type



Authors : Bousselsal Mahmoud . Bellour Azzeddine .

Abstract

In this paper, we study the existence of a continuous solution for a nonlinear integral equation of a product type. The analysis uses the techniques of measures of noncompactness and Darbo's fixed point theorem. Our results are obtained under rather general assumptions. Moreover, the method used in the proof allows us to obtain the asymptotic stability of the solutions.

Keywords

Integral equation of a product type Measure of weak noncompactness Fixed point theorem

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