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Journal: Annales Mathematicae Silesianae

Fixed point approach to the stability of an integral equation in the sense of Ulam-Hyers-Rassias

Mohamed Akkouchi , Abdellah Bounabat , M.H. Lalaoui Rhali

Language: EN | Published: 30-09-2011 | Abstract | pp. 27-44

In this paper, by using the classical Banach contraction principle, we investigate and establish the stability in the sense of Ulam–Hyers and in the sense of Ulam–Hyers–Rassias for the integral equation which defines the mild solutions of an abstract Cauchy problem in Banach spaces.

2011-09-30



Journal: Annales Mathematicae Silesianae

Convex solutions of an iterative functional differential equation

Li Lin Huang , Hou Yu Zhao

Language: EN | Published: 05-03-2025 | Abstract

In this paper, by Schauder's fixed point theorem and the Banach contraction principle, we consider the existence, uniqueness, and stability of convex solutions of a nonhomogeneous iterative functional differential equation. Finally, some examples were considered by our results.

2025-03-05