Acta Mathematica Vietnamica

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Asymptotically Stable Solutions for a Nonlinear Functional Integral Equation
L. T. P. Ngoc, N. T. Long

 

Abstract

In this paper, the solvability and the existence of asymptotically stable solutions for a nonlinear functional integral equation are studied. The main tools are a fixed point theorem of Krasnosel’skii type, the dominated convergence theorem, and other results from functional analysis. In order to illustrate the result obtained here, an example is given.

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