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math.CA2024
Weighted Asymptotic Characterisation of Perturbed Autonomous Linear Ordinary and Stochastic Differential Equations: Part I -- ODEs
John A. D. Appleby, Emmet Lawless
This is the first of a two-part paper which determines necessary and sufficient conditions on the asymptotic behaviour of forcing functions so that the solutions of additively pert…
math.CA2024
Characterisation of asymptotic behaviour of perturbed deterministic and stochastic pantograph equations
John A. D. Appleby, Emmet Lawless
This paper considers the asymptotic behaviour of deterministically and stochastically forced linear pantograph equations. The asymptotic behaviour is studied in the case when all s…
math.CA2024
Solution space characterisation of perturbed linear functional and integrodifferential Volterra convolution equations: Cesàro limits
John A. D. Appleby, Emmet Lawless
In this article we discuss the requirements needed in order to characterise the solution space of perturbed linear integro-differential Volterra convolution equations. We highlight…