Solution Space Characterisation of Perturbed Linear Volterra Integrodifferential Convolution Equations: the Lp case
Classical Analysis and ODEs
2023-06-19 v1
Abstract
In this paper we characterise the Lp stability of perturbed linear Volterra integrodifferential convolution equations. Additionally we provide a framework which points to necessary and sufficient conditions on the forcing function that ensures the solution lies in a particular function space. We highlight how such a result is of interest when studying perturbed Stochastic Functional Differential Equations (SFDEs).
Cite
@article{arxiv.2306.09895,
title = {Solution Space Characterisation of Perturbed Linear Volterra Integrodifferential Convolution Equations: the Lp case},
author = {John A. D. Appleby and Emmet Lawless},
journal= {arXiv preprint arXiv:2306.09895},
year = {2023}
}
Comments
6 pages