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arXiv · 2306.09895

Solution Space Characterisation of Perturbed Linear Volterra Integrodifferential Convolution Equations: the Lp case

John A. D. Appleby·Emmet Lawless
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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).

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BibTeXRIS

John A. D. Appleby, Emmet Lawless. 2023-06-16. Solution Space Characterisation of Perturbed Linear Volterra Integrodifferential Convolution Equations: the Lp case. https://arxiv.org/abs/2306.09895

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