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John Appleby
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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
2242008
Stochastic stabilisation of functional differential equations
JAD Appleby, X Mao
Systems & Control Letters 54 (11), 1069-1081, 2005
1132005
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
942006
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
642009
On stochastic stabilization of difference equationss
JAD Appleby, X Mao, A Rodkina
Discrete and Continuous Dynamical Systems 15 (3), 843, 2006
632006
Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation
JAD Appleby, E Buckwar
arXiv preprint arXiv:1607.00423, 2016
592016
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
342010
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
342006
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
342002
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
332009
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
322004
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
302006
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
292011
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
282008
Exponential Asymptotic Stability of Linear Ito-Volterra Equation with Damped Stochastic Perturbations
J Appleby, A Freeman
272003
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
262010
Non-exponential stability of scalar stochastic Volterra equations
JAD Appleby, DW Reynolds
Statistics & probability letters 62 (4), 335-343, 2003
262003
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
252007
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
252005
Solutions of stochastic differential equations obeying the law of the iterated logarithm, with applications to financial markets
J Appleby, H Wu
242009
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