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math.CA2026
Characterisation of Stability and Decay Rates in a Weakly Damped Second Order Linear Differential Equation
John A. D. Appleby, Subham Pal
This paper gives necessary and sufficient conditions for the convergence of the solution of a weakly damped second order linear differential equation that is subjected to outside f…
math.CA2026
Characterisation of Convergence, Boundedness and Unboundedness in Solutions of Second Order Linear Differential Equations
John A. D. Appleby, Subham Pal
This paper develops a characterisation of when solutions of forced second order linear differential equations converge to the zero solution of the asymptotically stable and unforce…
math.CA2025
Critical perturbation sizes for preserving decay rates in solutions of perturbed nonlinear differential equations
John A. D. Appleby, Subham Pal
This paper develops necessary and sufficient conditions for the preservation of asymptotic convergence rates of deterministically and stochastically perturbed ordinary differential…