Stochastic stabilisation of functional differential equations. - John A. D. Appleby; Xuerong Mao (Syst. Control. Lett., 2005)

Stabilization and Destabilization of Nonlinear Differential Equations by Noise. - John A. D. Appleby; Xuerong Mao; Alexandra Rodkina (IEEE Trans. Autom. Control., 2008)

Preserving positivity in solutions of discretised stochastic differential equations. - John A. D. Appleby; Malgorzata Guzowska; Cónall Kelly; Alexandra Rodkina (Appl. Math. Comput., 2010)

On the Almost Sure Running Maxima of Solutions of Affine Stochastic Functional Differential Equations. - John A. D. Appleby; Xuerong Mao; Huizhong Wu (SIAM J. Math. Anal., 2010)

Necessary and sufficient conditions for periodic decaying resolvents in linear discrete convolution Volterra equations and applications to ARCH(∞) processes. - John A. D. Appleby; John A. Daniels (Comput. Math. Appl., 2012)

Preservation of the growth rates of delay differential equations by Euler schemes with non-uniform step sizes. - John A. D. Appleby; Michael J. McCarthy (Comput. Math. Appl., 2012)

Bubbles and crashes in a Black-Scholes model with delay. - John A. D. Appleby; Markus Riedle; Catherine Swords (Finance Stochastics, 2013)

Growth rates of solutions of superlinear ordinary differential equations. - John A. D. Appleby; Denis D. Patterson (Appl. Math. Lett., 2017)

Growth Rates of Sublinear Functional and Volterra Differential Equations. - John A. D. Appleby; Denis D. Patterson (SIAM J. Math. Anal., 2018)

Growth and fluctuation in perturbed nonlinear Volterra equations. - John A. D. Appleby; Denis D. Patterson (Appl. Math. Comput., 2021)

Solution space characterisation of perturbed linear Volterra integrodifferential convolution equations: The Lp case. - John A. D. Appleby; Emmet Lawless (Appl. Math. Lett., 2023)