Journal of innovative applied mathematics and computational sciences
Volume 3, Numéro 1, Pages 66-74
2023-06-30

Existence And Asymptotic Stability Of Continuous Solutions For A General Form For Neutral Integral Equations Of Product Type



Authors : Bousselsal Mahmoud . Bellour Azzeddine .

Abstract

In this work, we study the existence and the asymptotic stability of the continuous solutions for a general form for neutral integral equations of product type. Our result will given in more general and easy conditions; Moreover, the neutral integral equation of product type given in this work contains many particular forms which are studied recently. The analysis uses the techniques of measures of noncompactness and Darbo's fixed point theorem.

Keywords

Neutral integral equations of product type ; Darbo's fixed point theorem ; Continuous solution ; Asymptotic stable solution

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