Investigation of generalised Fredholm equations and their direct solution subject to constraints

TL;DR

This paper investigates methods for solving Fredholm-like equations with infinite-dimensional solutions, focusing on finding particular solutions under constraints, with applications to gas-like system dynamics.

Contribution

It introduces a new approach for solving constrained Fredholm-like equations with infinite-dimensional solution spaces.

Findings

Developed a method for constrained solutions to Fredholm-like equations

Connected solution techniques to gas system dynamics

Provided insights into infinite-dimensional solution spaces

Abstract

This paper explores the solution of Fredholm-like equations with infinite dimensional solution spaces. We set out to find a method for determining a particular solution to a Fredholm-like equation subject to a given constraint. The relevance and application comes via a connection to certain dynamics of gas-like systems.