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 | 224 | 2008 |
Stochastic stabilisation of functional differential equations JAD Appleby, X Mao Systems & Control Letters 54 (11), 1069-1081, 2005 | 113 | 2005 |
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 | 94 | 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 | 64 | 2009 |
On stochastic stabilization of difference equationss JAD Appleby, X Mao, A Rodkina Discrete and Continuous Dynamical Systems 15 (3), 843, 2006 | 63 | 2006 |
Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation JAD Appleby, E Buckwar arXiv preprint arXiv:1607.00423, 2016 | 59 | 2016 |
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 | 34 | 2010 |
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 | 34 | 2006 |
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 | 34 | 2002 |
Geometric Brownian motion with delay: mean square characterisation J Appleby, X Mao, M Riedle Proceedings of the American Mathematical Society 137 (1), 339-348, 2009 | 33 | 2009 |
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 | 32 | 2004 |
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 | 30 | 2006 |
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), 79-90, 2011 | 29 | 2011 |
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 | 28 | 2008 |
Exponential Asymptotic Stability of Linear Ito-Volterra Equation with Damped Stochastic Perturbations J Appleby, A Freeman | 27 | 2003 |
On the local dynamics of polynomial difference equations with fading stochastic perturbations JAD Appleby, C Kelly, X Mao, A Rodkina Dynamics of Continuous Discrete and Impulsive Systems Series A: Mathematical …, 2010 | 26 | 2010 |
Non-exponential stability of scalar stochastic Volterra equations JAD Appleby, DW Reynolds Statistics & probability letters 62 (4), 335-343, 2003 | 26 | 2003 |
Almost sure convergence of solutions of linear stochastic Volterra equations to nonequilibrium limits JAD Appleby, S Devin, DW Reynolds The Journal of Integral Equations and Applications, 405-437, 2007 | 25 | 2007 |
Decay and growth rates of solutions of scalar stochastic delay differential equations with unbounded delay and state dependent noise JAD Appleby Stochastics and Dynamics 5 (02), 133-147, 2005 | 25 | 2005 |
Solutions of stochastic differential equations obeying the law of the iterated logarithm, with applications to financial markets J Appleby, H Wu | 24 | 2009 |