John A. D. Appleby
John A. D. Appleby
Professor in Mathematics, Dublin City University
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Stabilization and destabilization of nonlinear differential equations by noise
JAD Appleby, X Mao, A Rodkina
IEEE Transactions on Automatic Control 53 (3), 683-691, 2008
Stochastic stabilisation of functional differential equations
JAD Appleby, X Mao
Systems & Control Letters 54 (11), 1069-1081, 2005
Cross sectional study of reporting of epileptic seizures to general practitioners
J Dalrymple, J Appleby
Bmj 320 (7227), 94-97, 2000
On exponential asymptotic stability in linear viscoelasticity
JAD Appleby, M Fabrizio, B Lazzari, DW Reynolds
Mathematical Models and Methods in Applied Sciences 16 (10), 1677-1694, 2006
On exact convergence rates for solutions of linear systems of Volterra difference equations
JAD Applelby, I Győri, DW Reynolds
Journal of Difference Equations and Applications 12 (12), 1257-1275, 2006
Non-exponential stability and decay rates in nonlinear stochastic difference equations with unbounded noise
JAD Appleby, G Berkolaiko, A Rodkina
Stochastics: An International Journal of Probability and Stochastics …, 2009
On stochastic stabilization of difference equations
JAD Appleby, X Mao, A Rodkina
Discrete & Continuous Dynamical Systems-A 15 (3), 843, 2006
Sufficient Conditions for Polynomial Asymptotic Behaviour of the Stochastic Pantograph Equation
JAD Appleby, E Buckwar
arXiv preprint arXiv:1607.00423, 2016
Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation
JAD Appleby, E Buckwar
Stochastic Anal. Appl 125, 2003
Subexponential solutions of linear integro-differential equations and transient renewal equations
JAD Appleby, DW Reynolds
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 132 (3 …, 2002
On exact rates of decay of solutions of linear systems of Volterra equations with delay
JAD Appleby, I Győri, DW Reynolds
Journal of mathematical analysis and applications 320 (1), 56-77, 2006
Exponential asymptotic stability of linear Itô-Volterra equations with damped stochastic perturbations
JAD Appleby, A Freeman
Electron. J. Probab 8 (22), 1-22, 2003
On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations
J Appleby, G Berkolaiko, A Rodkina
Journal of Difference Equations and Applications 14 (9), 923-951, 2008
Preserving positivity in solutions of discretised stochastic differential equations
JAD Appleby, M Guzowska, C Kelly, A Rodkina
Applied mathematics and computation 217 (2), 763-774, 2010
Almost sure asymptotic stability of stochastic Volterra integro-differential equations with fading perturbations
JAD Appleby, M Riedle
Stochastic Analysis and Applications 24 (4), 813-826, 2006
Asymptotic stability of polynomial stochastic delay differential equations with damped perturbations
JAD Appleby, A Rodkina
Functional Differential Equations 12 (1-2), 35-66, 2004
On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations
JAD Appleby, DW Reynolds
The Journal of Integral Equations and Applications, 221-240, 2004
Non-exponential stability of scalar stochastic Volterra equations
JAD Appleby, DW Reynolds
Statistics & probability letters 62 (4), 335-343, 2003
Characterisation of the asymptotic behaviour of scalar linear differential equations with respect to a fading stochastic perturbation
JAD Appleby, J Cheng, A Rodkina
Conference Publications 2011 (Special), 79, 2011
Fixed points, stability and harmless stochastic perturbations
JAD Appleby
preprint, 2008
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