A note on Fredholm integral equation
Chaitanya Gopalakrishna
TL;DR
This paper investigates the existence of semi-continuous solutions for Fredholm integral equations of the second kind, applying Tarski's fixed point theorem to establish new theoretical results.
Contribution
It introduces a novel approach using Tarski's fixed point theorem to prove existence results for semi-continuous solutions of Fredholm integral equations.
Findings
Existence of semi-continuous solutions established
Application of Tarski's fixed point theorem to integral equations
Theoretical framework for solution existence
Abstract
This note gives results on the existence of semi-continuous solutions of a Fredholm integral equation of the second kind using Tarski's fixed point theorem.
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Taxonomy
TopicsFixed Point Theorems Analysis · Fractional Differential Equations Solutions · Electromagnetic Scattering and Analysis