
2018 
Appleby J.;Patterson D. (2018) 'Blow–up and superexponential growth in superlinear volterra equations'. Discrete and Continuous Dynamical Systems, 38 (8):39934017. 

2018 
Appleby, JAD;Patterson, DD (2018) 'GROWTH RATES OF SUBLINEAR FUNCTIONAL AND VOLTERRA DIFFERENTIAL EQUATIONS'. SIAM Journal on Mathematical Analysis, 50 :20862110. 

2017 
John A. D. Appleby (2017) 'Exact and memorydependent decay rates to the nonhyperbolic equilibrium of differential equations with unbounded and maximum functional'. Electronic Journal of Qualitative Theory of Differential Equations, . 

2017 
Appleby, JAD;Patterson, DD (2017) 'MEMORY DEPENDENT GROWTH IN SUBLINEAR VOLTERRA DIFFERENTIAL EQUATIONS'. Journal of Integral Equations and Applications, 29 :531584. 

2017 
Appleby J.;Patterson D. (2017) 'HartmanWintner growth results for sublinear functional differential equations'. Electronic Journal of Differential Equations, 2017 . 

2017 
Appleby, JAD;Patterson, DD (2017) 'Large fluctuations and growth rates of linear Volterra summation equations'. Journal of Difference Equations and Applications, 23 :10471080. 

2017 
John A. D. Appleby, Denis D. Patterson (2017) 'Memory dependent growth in sublinear Volterra equations'. Journal of Integral Equations and Applications, . 

2017 
Appleby, JAD;Patterson, DD (2017) 'Growth rates of solutions of superlinear ordinary differential equations'. Applied Mathematics Letters, 71 :3037. 

2016 
Appleby, J; Patterson, D (2016) 'Classification of convergence rates of solutions of perturbed ordinary differential equations with regularly varying nonlinearity'. Electronic Journal of Qualitative Theory of Differential Equations, . 

2016 
Appleby, J; Buckwar, E (2016) 'Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation'. Electronic Journal of Qualitative Theory of Differential Equations, . 

2016 
Appleby J.;Patterson D. (2016) 'On the admissibility of unboundedness properties of forced deterministic and stochastic sublinear Volterra summation equations'. Electronic Journal of Qualitative Theory of Differential Equations, 2016 . 

2015 
Appleby, J; Patterson, D (2015) 'Subexponential growth rates in functional differential equations'. Discrete and Continuous Dynamical Systems  Series S, Volume 2015 :5665. 

2014 
Rodkina A.;Dokuchaev N.;Appleby J. (2014) 'On limit periodicity of discrete time stochastic processes'. Stochastics and Dynamics, 14 (4). 

2013 
Appleby J.;Riedle M.;Swords C. (2013) 'Bubbles and crashes in a BlackScholes model with delay'. Finance and Stochastics, 17 (1):130. 

2012 
Appleby J.;Daniels J. (2012) 'Long run behaviour of the autocovariance function of ARCH(∞) models'. Journal of Mathematical Analysis and Applications, 392 (2):148170. 

2012 
Appleby, JAD;Daniels, JA (2012) 'Necessary and sufficient conditions for periodic decaying resolvents in linear discrete convolution Volterra equations and applications to ARCH(infinity) processes'. Computers and Mathematics with Applications, 64 :23122325. 

2011 
John A. D. Appleby and John A. Daniels (2011) 'Exponential growth in the solution of an affine stochastic differential equation with an average functional and financial market bubbles'. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, SERIES A, Supplement :91101. 

2011 
Appleby J.;Rodkina A.;Schurz H. (2011) 'On an exponential martingale approach to almost sure stability of itô sdes in R1'. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 18 (4):471484. 

2011 
John A. D. Appleby, Jian Cheng and Alexandra Rodkina
(2011) 'Characterisation of the asymptotic behaviour of scalar linear differential equations with respect to a fading stochastic perturbation'. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, SERIES A, Supplement :7990. 

2011 
John A. D. Appleby and Katja Krol (2011) 'Long memory in a linear stochastic Volterra equation'. Journal of Mathematical Analysis and Applications, 380 :814830. 

2011 
John A. D. Appleby, David W. Reynolds and Istvan Gyori (2011) 'Historydependent decay rates for a logistic
equation with infinite delay'. Proceedings of Royal Society Edinburgh, Section A, 141 :2344. 

2011 
Appleby J.;Krol K. (2011) 'Long memory in a linear stochastic Volterra differential equation'. Journal of Mathematical Analysis and Applications, 380 (2):814830. 

2011 
Appleby J.;Daniels J. (2011) 'Exponential growth in the solution of an affine stochastic differential equation with an average functional and financial market bubbles'. Discrete and Continuous Dynamical Systems, (SUPPL):91101. 

2011 
Appleby J.; Gyori I.; Reynolds D. (2011) 'Historydependent decay rates for a logistic equation with memory'. Proceedings of Royal Society Edinburgh, Section A, 141 (1):2344. 

2011 
Appleby J.;Cheng J.;Rodkina A. (2011) 'Characterisation of the asymptotic behaviour of scalar linear differential equations with respect to a fading stochastic perturbation'. Discrete and Continuous Dynamical Systems, (SUPPL):7990. 

2011 
John A. D. Appleby, Alexandra Rodkina, and Henri Schurz (2011) 'On an exponential martingale approach to almost sure stability of Itô SDEs in R^1'. DYNAMICS OF CONTINUOUS, DISCRETE & IMPULSIVE SYSTEMS. SERIES A. MATH ANAL, 18 :471484. 

2010 
Appleby J. (2010) 'On the positivity and zero crossings of solutions of stochastic volterra integrodifferential equations'. International Journal of Differential Equations, 2010 . 

2010 
John A. D. Appleby (2010) 'On the Positivity and Zero Crossings of Solutions of Stochastic Volterra Integrodifferential Equations'. Volume 2010 :125. 

2010 
John A. D. Appleby and Markus Riedle (2010) 'Stochastic Volterra differential equations in weighted
spaces'. Journal of Integral Equations and Applications, 22 :117. 

2010 
Appleby J. (2010) 'On regularly varying and historydependent convergence rates of solutions of a volterra equation with infinite memory'. Advances in Difference Equations, 2010 . 

2010 
John A. D. Appleby, Jian Cheng, and Alexandra Rodkina (2010) 'The splitstep EulerMaruyama method preserves asymptotic stability for simulated annealing problems
'. PROCEEDINGS OF DYNAMIC SYSTEMS AND APPLICATIONS, Volume 4 :3136. 

2010 
John A. D. Appleby (2010) 'HistoryDependent and Regularly Varying Convergence Rates of Solutions of Infinite Memory Volterra Integrodifferential Equations'. Advances in Difference Equations, Volume 2010 :131. 

2010 
John A.D. Appleby, Xuerong Mao, Conall Kelly, and Alexandra Rodkina (2010) 'On the local dynamics of polynomial difference equations with fading stochastic perturbations'. DYNAMICS OF CONTINUOUS, DISCRETE & IMPULSIVE SYSTEMS. SERIES A. MATH ANAL, 17 :401430. 

2010 
John A. D. Appleby, Conall Kelly and Alexandra Rodkina (2010) 'On the use of adaptive meshes to counter overshoot in solutions of discretised nonlinear stochastic differential equations'. 5 :129148. 

2010 
Appleby J.;Kelly C.;Mao X.;Rodkina A. (2010) 'On the local dynamics of polynomial difference equations with fading stochastic perturbations'. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 17 (3):401430. 

2010 
John A. D. Appleby, Xuerong Mao and Huizhong Wu (2010) 'On the almost sure partial maxima of solutions of
affine stochastic functional differential equations'. 42 :646678. 

2010 
Appleby J.;Buckwar E. (2010) 'A Constructive Comparison Technique for Determining the Asymptotic Behaviour of Linear Functional Differential Equations with Unbounded Delay'. Differential Equations and Dynamical Systems, 18 (3):271301. 

2010 
Appleby J.;Mao X.;Wu H. (2010) 'On the almost sure running maxima of solutions of affine stochastic functional differential equations'. SIAM Journal on Mathematical Analysis, 42 (2):646678. 

2010 
John A. D. Appleby and Evelyn Buckwar (2010) 'A constructive comparison technique for determining the asymptotic behaviour of linear functional differential equations with unbounded delay'. 18 :271301. 

2010 
John A. D. Appleby, Malgorzata Guzowska, Alexandra Rodkina, and Conall Kelly (2010) 'Preservation of positivity in the solution of
discretised stochastic differential equation'. Applied Mathematics and Computation, 217 :763774. 

2010 
John A. D. Appleby, Alexandra Rodkina and Henri Schurz (2010) 'Nonpositivity and oscillations of solutions of nonlinear stochastic difference equations with statedependent noise'. Journal of Difference Equations and Applications, 16 :807830. 

2010 
Appleby J.;Riedle M. (2010) 'Stochastic volterra equations in weighted spaces'. Journal of Integral Equations and Applications, 22 (1):117. 

2010 
John A. D. Appleby, Michael J. McCarthy and Alexandra Rodkina (2010) 'Exact growth rates of solutions of delaydominated differential equations
'. PROCEEDINGS OF DYNAMIC SYSTEMS AND APPLICATIONS, Volume 4 :3742. 

2010 
Appleby J.;Rodkina A.;Schurz H. (2010) 'Nonpositivity and oscillations of solutions of nonlinear stochastic difference equations with statedependent noise'. Journal of Difference Equations and Applications, 16 (7):807830. 

2009 
John A. D. Appleby, Alexandra Rodkina and LihIng W. Roeger (2009) 'Stability of a limit cycle for a planar system with stochastic perturbations'. FUNCTIONAL DIFFERENTIAL EQUATIONS, 16 :7391. 

2009 
John A. D. Appleby, Alexandra Rodkina, and Gregory Berkolaiko (2009) 'Nonexponential stability and Decay Rates of Nonlinear
Stochastic Difference Equations with unbounded noises'. STOCHASTICS AND STOCHASTICS REPORTS, 81 :99127. 

2009 
John A. D. Appleby and Alexandra Rodkina (2009) 'Stability of Nonlinear Stochastic Volterra Difference Equations with Respect to a Fading Perturbation'. 4
:165184. 

2009 
John A. D. Appleby, Xuerong Mao, and Markus Riedle (2009) 'Geometric Brownian motion with delay: mean square characterisation'. Proceedings of the American Mathematical Society, 137 :339348. 

2009 
Appleby J.;Berkolaiko G.;Rodkina A. (2009) 'Nonexponential stability and decay rates in nonlinear stochastic difference equations with unbounded noise'. Stochastics, 81 (2):99127. 

2009 
John A. D. Appleby and Catherine Swords (2009) 'Asymptotic behaviour of a nonlinear stochastic
difference equation modelling an inefficient financial market'. Adv. Stud. Pure Math. 53 :2333. 

2009 
John A.D. Appleby and Huizhong Wu (2009) 'Solutions of stochastic differential equations obeying
the law of the iterated logarithm with applications to financial markets'. Electronic Journal of Probability, 14 :912959. 

2009 
John A. D. Appleby, Alexandra Rodkina, and Markus Riedle (2009) 'On Asymptotic Stability of linear stochastic Volterra
difference equations with respect to a fading perturbation'. Adv. Stud. Pure Math. 53 :271282. 

2009 
John A. D. Appleby, Conall Kelly, Xuerong Mao, and Alexandra Rodkina (2009) 'Positivity and stabilization for nonlinear stochastic
delay differential equations'. STOCHASTICS AND STOCHASTICS REPORTS, 81 :2954. 

2009 
John A. D. Appleby, Alexandra Rodkina and Henri Schurz (2009) 'On the oscillation of solutions of stochastic difference equations
'. MATEMATICAS: ENSENANZA UNIVERSITARIA, 17 :110. 

2009 
John A. D. Appleby, Michael J. McCarthy and Alexandra Rodkina (2009) 'Growth rates of delaydifferential equations and uniform Euler schemes'. Difference Equations and Applications :117124. 

2009 
John A.D. Appleby, Terry Lynch, Xuerong Mao, and Huizhong Wu (2009) 'The Size of the Largest Fluctuations in a Market Model
with Markovian Switching'. 13 :135166. 

2009 
Appleby J.;Kelly C.;Mao X.;Rodkina A. (2009) 'Positivity and stabilisation for nonlinear stochastic delay differential equations'. Stochastics, 81 (1):2954. 

2009 
John A. D. Appleby, James Gleeson, and Alexandra Rodkina (2009) 'Stability under fading stochastic perturbations of
globally stable nonlinear differential equations'. 88 :579603. 

2008 
John A. D. Appleby and Huizhong Wu (2008) 'Exponential growth and Gaussianlike fluctuations of
solutions of stochastic differential equations with maximum functionals'. JOURNAL OF PHYSICS : CONFERENCE SERIES (PRINT), 138 :125. 

2008 
John A. D. Appleby, Xuerong Mao and Alexandra Rodkina (2008) 'Stabilization and destabilization of nonlinear
differential equations by noise'. IEEE Transactions on Automatic Control, 53 :683691. 

2008 
John A.D. Appleby, Alexandra Rodkina, and James
Gleeson (2008) 'Asymptotic constancy and stability in nonautonomous
stochastic differential equations'. 10 :145160. 

2008 
John A. D. Appleby (2008) 'Convergence rates of the solution of a Volterratype
stochastic differential equations to a nonequilibrium limit'. ELEC JNL QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, Proc. 8th Coll. QTDE :130. 

2008 
Appleby J.;MacKey D.;Rodkina A. (2008) 'Almost sure polynomial asymptotic stability of stochastic difference equations'. Journal of Mathematical Sciences, 149 (6):16291647. 

2008 
Appleby, J;Berkolaiko, G;Rodkina, A (2008) 'On local stability for a nonlinear difference equation with a nonhyperbolic equilibrium and fading stochastic perturbations'. Journal of Difference Equations and Applications, 14 :923951. 

2008 
John A. D. Appleby, Dana Mackey, and Alexandra Rodkina (2008) 'Almost sure polynomial asymptotic stability of
stochastic difference equations,
Journal of Mathematical Sciences'. 149 :16291647. 

2008 
John A. D. Appleby, Siobhan Devin, David Reynolds (2008) 'Characterisation of exponential convergence to
nonequilibrium limits for stochastic Volterra equations'. Journal of Applied Mathematics and Stochastic Analysis, Volume 2008 :127. 

2008 
Appleby J.;Devin S.;Reynolds D. (2008) 'Characterisation of exponential convergence to nonequilibrium limits for stochastic Volterra equations'. Journal of Applied Mathematics and Stochastic Analysis, 2008 . 

2008 
John A. D. Appleby, Gregory Berkoliako and Alexandra Rodkina (2008) 'On Local Stability for a Nonlinear Difference Equation
with a NonHyperbolic Equilibrium and Fading Stochastic
Perturbations'. Journal of Difference Equations and Applications, 14 :923951. 

2008 
John A. D. Appleby and David Reynolds (2008) 'Decay rates of solutions of linear stochastic Volterra
equations'. Electronic Journal of Probability, 13 :922943. 

2008 
Appleby J.;Reynolds D. (2008) 'Decay rates of solutions of linear Stochastic Volterra equations'. Electronic Journal of Probability, 13 :922943. 

2008 
John A. D. Appleby, Alexandra Rodkina, and Catherine Swords
(2008) 'Fat Tails and Bubbles in a Discrete Time Model of an
Inefficient Financial Market'. PROCEEDINGS OF DYNAMIC SYSTEMS AND APPLICATIONS, 5 :3545. 

2007 
John A. D. Appleby, Siobhan Devin and David W. Reynolds (2007) 'Almost sure convergence of solutions of linear stochastic Volterra equations to nonequilibrium limits'. Journal of Integral Equations and Applications, 19
:405437. 

2007 
John A. D. Appleby, Malgorzata Guzowska, and Alexandra Rodkina (2007) 'On polynomial rate of decay and growth of solution to
nonlinear difference equations'. REVISTA DE MATEMATICA: TEORIA Y APLICACIONES, 14
:3344. 

2007 
Reynolds D.;Appleby J.;Gyori I. (2007) 'On exact rates of growth and decay of solutions of a linear Volterra equation in linear viscoelasticity'. Note di Matematica, 27 (2):215228. 

2007 
John A. D. Appleby and Alexandra Rodkina (2007) 'On the Oscillation of Solutions of Stochastic Difference Equations with StateIndependent Perturbations'. 2 :139164. 

2007 
John A. D. Appleby, Istvan Gyori, and David W. Reynolds (2007) 'On exact rates of growth and decay of solutions of a linear Volterra equation in linear viscoelasticity'. Note di Matematica, 27 :215228. 

2007 
Appleby J.;Devin S.;Reynolds D. (2007) 'Almost sure convergence of solutions of linear stochastic volterra equations to nonequilibrium limits'. Journal of Integral Equations and Applications, 19 (4):405437. 

2007 
John A. D. Appleby and Conall Kelly (2007) 'Spurious oscillation in an Euler discretisation of linear stochastic differential equations with vanishing delay'. Journal of Computational and Applied Mathematics, 205 :923935. 

2006 
John A.D.Appleby, Istvan Gyori, and David Reynolds (2006) 'On exact rates of decay of solutions of linear systems of Volterra equations with delay'. Journal of Mathematical Analysis and Applications, 320 :5677. 

2006 
John A. D. Appleby, David W. Reynolds, and Siobhan Devin (2006) 'Mean square convergence of solutions of linear Ito Volterra equations to nonequilibrium limits'. DYNAMICS OF CONTINUOUS, DISCRETE & IMPULSIVE SYSTEMS. SERIES A. MATH ANAL, 13B :515534. 

2006 
John A. D. Appleby, Xuerong Mao, and Alexandra Rodkina (2006) 'On stochastic stabilization of difference equations
'. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, SERIES A, 15 :843857. 

2006 
John A. D. Appleby and Markus Riedle (2006) 'Almost sure asymptotic stability of stochastic Volterra
integrodifferential equations with fading perturbations'. STOCHASTIC ANALYSIS AND ITS APPLICATIONS, 24 :813826. 

2006 
John A. D. Appleby, Istvan Gyori, and David W. Reynolds (2006) 'On exact convergence rates of solutions of linear systems of Volterra difference equations'. Journal of Difference Equations and Applications, 12 :12571275. 

2006 
John A. D. Appleby and Aoife Flynn (2006) 'Stabilization of Volterra equations by noise
'. Journal of Applied Mathematics and Stochastic Analysis, 2006 :129. 

2006 
John A. D. Appleby, Alexandra Rodkina, and Henri Schurz (2006) 'Pathwise nonexponential decay rates of solutions of
scalar nonlinear stochastic differential equations
'. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, SERIES B, 6 :667696. 

2006 
John A. D. Appleby and Conall Kelly (2006) 'Oscillation of solutions of a nonuniform discretisation of linear stochastic differential equations with vanishing delay'. DYNAMICS OF CONTINUOUS, DISCRETE & IMPULSIVE SYSTEMS. SERIES A. MATH ANAL, 13B :535550. 

2006 
John A. D. Appleby and Conall Kelly (2006) 'Prevention of Explosions in Solutions of Functional
Differential Equations by Noise Perturbation
'. Dynamic Systems and Applications, 15 :227240. 

2006 
John A. D. Appleby, Mauro Fabrizio, Barbara Lazzari and
David W. Reynolds (2006) 'On exponential asympototic stability in linear viscoelasticity'. Mathematical Models and Methods in Applied Sciences, 16 :16771694. 

2005 
John A.D. Appleby and Evelyn Buckwar (2005) 'Noise induced oscillation in solutions of stochastic delay differential equations
'. Dynamic Systems and Applications, 14 :175197. 

2005 
John A. D. Appleby, Xuerong Mao, and Alexandra Rodkina (2005) 'Pathwise superexponential decay rates of solutions of
autonomous stochastic differential equations'. STOCHASTICS AND STOCHASTICS REPORTS, 77 :241270. 

2005 
John A. D. Appleby, Siobhan Devin and David Reynolds (2005) 'Exponential convergence to a nontrivial limit in linear
Volterra integrodifferential equations
'. ELEC JNL QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2005 :116. 

2005 
Appleby J. (2005) 'Decay and growth rates of solutions of scalar stochastic delay differential equations with unbounded delay and statedependent noise'. Stochastics and Dynamics, 5 (2):133147. 

2005 
Appleby J.;Devin S.;Reynolds D. (2005) 'On the exponential convergence to a limit of solutions of perturbed linear volterra equations'. Electronic Journal of Qualitative Theory of Differential Equations, . 

2005 
John A. D. Appleby (2005) 'Decay and growth rates of solutions of scalar
stochastic delay differential equations with unbounded delay and state dependent noise'. Stochastics and Dynamics, 5 :133147. 

2005 
John A. D. Appleby and Alexandra Rodkina (2005) 'On the asymptotic stability of polynomial stochastic
delay differential equations
'. FUNCTIONAL DIFFERENTIAL EQUATIONS, 12 :3566. 

2005 
John A. D. Appleby and Alexandra Rodkina (2005) 'Rates of decay and growth of solutions to linear
stochastic differential equations with stateindependent perturbations'. STOCHASTICS AND STOCHASTICS REPORTS, 77 :271295. 

2005 
John A. D. Appleby (2005) 'Exponential asymptotic stability of nonlinear
ItoVolterra equations with damped stochastic perturbations'. FUNCTIONAL DIFFERENTIAL EQUATIONS, 12 :734. 

2005 
John A. D. Appleby and Xuerong Mao (2005) 'Stochastic Stabilisation of Functional Differential
Equations'. Systems and Control Letters, 54 :10691081. 

2004 
John A. D. Appleby and Conall Kelly (2004) 'Oscillation and nonoscillation in solutions of
nonlinear stochastic delay differential equations'. Electronic Communications in Probability, 9 :106118. 

2004 
John A. D. Appleby and David W. Reynolds (2004) 'On necessary and sufficient conditions for exponential
stability in linear Volterra integrodifferential equations
'. Journal of Integral Equations and Applications, 16 :221240. 

2004 
John A. D. Appleby, Istvan Gyori, and David W. Reynolds,
(2004) 'Subexponential solutions of linear scalar integrodifferential equations with a delay
'. FUNCTIONAL DIFFERENTIAL EQUATIONS, 11
:1118. 

2004 
John A. D. Appleby and David W. Reynolds (2004) 'Subexponential solutions of linear integrodifferential
equations'. PROCEEDINGS OF DYNAMIC SYSTEMS AND APPLICATIONS, 4 :488494. 

2004 
John A. D. Appleby and Dana Mackey (2004) 'Polynomial asymptotic stability of damped stochastic
differential equations'. ELEC JNL QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, Proc. 7th Coll. QTDE :133. 

2004 
John A.D. Appleby and Conall Kelly (2004) 'Asymptotic and oscillatory properties of linear
stochastic delay differential equations with
vanishing delay'. FUNCTIONAL DIFFERENTIAL EQUATIONS, 11 :235265. 

2004 
John A. D. Appleby (2004) 'Subexponential solutions of scalar linear ItoVolterra equations with damped stochastic perturbations
'. FUNCTIONAL DIFFERENTIAL EQUATIONS, 11
:510. 

2004 
John A. D. Appleby (2004) 'Almost sure subexponential decay rates of scalar ItoVolterra equations
'. ELEC JNL QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, Proc. 7th Coll. QTDE :132. 

2004 
John A. D. Appleby and David W. Reynolds (2004) 'On the nonexponential decay to equilibrium of solutions
of nonlinear scalar Volterra integrodifferential equations
'. ELEC JNL QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, Proc. 7th. Coll. QTDE :114. 

2003 
John A. D. Appleby and David W. Reynolds (2003) 'Nonexponential stability of scalar stochastic Volterra equations
'. Statistics and Probability Letters, 62 :335343. 

2003 
John A. D. Appleby (2003) 'pthmean integrability and almost sure asymptotic
stability of ItoVolterra equations.
'. Journal of Integral Equations and Applications, 15 :321341. 

2003 
Appleby J. (2003) 'Exponential asymptotic stability of linear itôvolterra equations with damped stochastic perturbations'. Electronic Journal of Probability, 8 :122. 

2003 
Appleby J. (2003) 'Pth mean integrability and almost sure asymptotic stability of solutions of itôvolterra equations'. Journal of Integral Equations and Applications, 15 (4):321341. 

2003 
John A. D. Appleby and Alan Freeman (2003) 'Exponential asymptotic stability of linear ItoVolterra equations with damped stochastic perturbations
'. Electronic Journal of Probability, 8
:122. 

2003 
John A. D. Appleby and David W. Reynolds (2003) 'Corrigendum Subexponential solutions of linear
Volterra integrodifferential equations and transient renewal equations'. Proceedings of Royal Society Edinburgh, Section A, 133 :14211421. 

2002 
John A. D. Appleby and David W. Reynolds (2002) 'Subexponential solutions of linear integrodifferential equations and transient renewal equations
'. Proceedings of Royal Society Edinburgh, Section A, 132 :521543. 

2002 
John A. D. Appleby and David W. Reynolds (2002) 'On the NonExponential Convergence of Asymptotically Stable
Solutions of Linear Scalar Volterra IntegroDifferential Equations
'. Journal of Integral Equations and Applications, 14 :109118. 

2002 
John A. D. Appleby (2002) 'Almost sure stability of linear ItoVolterra equations with damped stochastic perturbations
'. Electronic Communications in Probability, 7 :223234. 

2000 
John A. D. Appleby (2000) 'Heterogeneity and seasonaility in financial markerts
'. International Journal of Theoretical and Applied Finance, 3 :491492. 

2000 
John A.D. Appleby (2000) 'Exponential asymptotic stability for linear volterra equations'. Mathematical Proceedings of the Royal Irish Academy, :17. 