John A. D. Appleby
John A. D. Appleby
Professor in Mathematics, Dublin City University
Verified email at dcu.ie
TitleCited byYear
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
1412008
Stochastic stabilisation of functional differential equations
JAD Appleby, X Mao
Systems & Control Letters 54 (11), 1069-1081, 2005
872005
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
592006
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
582006
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
502009
On stochastic stabilization of difference equationss
JAD Appleby, X Mao, A Rodkina
Discrete and Continuous Dynamical Systems 15 (3), 843, 2006
472006
Sufficient Conditions for Polynomial Asymptotic Behaviour of the Stochastic Pantograph Equation
JAD Appleby, E Buckwar
arXiv preprint arXiv:1607.00423, 2016
332016
Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation
J Appleby, E Buckwar
Electronic Journal of Qualitative Theory of Differential Equations 2016 (2 …, 2016
332016
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
332002
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
302006
Exponential asymptotic stability of linear Itô-Volterra equations with damped stochastic perturbations
JAD Appleby, A Freeman
Electron. J. Probab 8 (22), 1-22, 2003
292003
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
222010
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
222008
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
222006
Fixed points, stability and harmless stochastic perturbations
JAD Appleby
preprint, 2008
212008
Asymptotic stability of polynomial stochastic delay differential equations with damped perturbations
JAD Appleby, A Rodkina
Functional Differential Equations 12 (1-2), p. 35-66, 2004
212004
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
212004
Solutions of stochastic differential equations obeying the law of the iterated logarithm, with applications to financial markets
J Appleby, H Wu
Electronic Journal of Probability 14, 912-959, 2009
202009
Polynomial asymptotic stability of damped stochastic differential equations
JAD Appleby, D Mackey
Proc. 7th Coll. QTDE, 1-33, 2004
202004
Non-exponential stability of scalar stochastic Volterra equations
JAD Appleby, DW Reynolds
Statistics & probability letters 62 (4), 335-343, 2003
202003
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