Mathematics
Dr David Reynolds
| Name: | Dr David Reynolds |
|---|---|
| Phone Number | 5290 |
| Room: | X138E |
| E-Mail Address: | |
| Work Area: | Academic Staff |
| Homepage | Personal Homepage |

Dr David Reynolds
Research Interests:
Dynamical Systems with Memory, Volterra Integral and Functional Differential Equations, Applications to Inefficient Markets, Continuum Mechanics,
Selected Peer Reviewed Journals
- Dr David W Reynolds. .
- Istvan Gyori and David W Reynolds. 2012. Explicit asymptotic limits for a class of discrete Volterra equations. Journal Of Difference Equations And Applications, 18, 11, pp1925-1930.
- David W Reynolds. 2012. On asymptotic constancy for linear discrete summation equations. Computers And Mathematics With Applications, 64, 7, pp2335-2344.
- Appleby J. A. D. , Gyori I. and Reynolds D. W. 2011. History-dependent decay rates for a logistic equation with infinite delay. Proceedings Of Royal Society Edinburgh, Section A, 141, 1, pp23-44.
- Gyori, I and Reynolds, D. W. 2010. On Asymptotically Periodic Solutions of Linear Discrete Volterra Equations. Fasciculi Mathematici, 44, 1, pp53-67.
- Istvan Gyori and David Reynolds. 2010. On admissibility of the resolvent of discrete Volterra equations. Journal Of Difference Equations And Applications, 16, 12, pp1393-1412.
- István Gyori and David W. Reynolds. 2009. Sharp conditions for boundedness in linear discrete Volterra equations. Journal Of Difference Equations And Applications, 15, 11 & 12, pp1151-1164.
- Appleby, John A. D. Siobhán Devin and David W. Reynolds. 2008. Characterisation of exponential convergence to nonequilibrium limits for stochastic Volterra equations. Journal Of Applied Mathematics And Stochastic Analysis, 2008, , pp27pp-.
- Appleby, John A. D. and David W. Reynolds. 2008. Decay rates of solutions of linear stochastic Volterra equations. Electronic Journal Of Probability, 30, , pp922-943.
- J. A. D Appleby, S. Devin and D. W. Reynolds. 2007. Almost sure convergence of solutions of linear stochastic Volterra equations to nonequilibrium limits. Journal Of Integral Equations And Applications, 19, Fall, pp405-437.
- Reynolds, David W., John A. D. Appleby and István Győri. 2007. On exact rates of growth and decay of solutions of a linear Volterra equation in linear viscoelasticity. Note Di Matematica, 27, 2, pp215-228.
- Appleby, J, S. Devin and D. W. Reynolds. 2006. Mean square convergence of solutions of linear stochastic Volterra equations to non-equilibrium limits. Dynamics Of Continuous, Discrete & Impulsive Systems. Series A. Math Anal, 13, suppl, B, pp515-534.
- Appleby, J. A. D., I. Gyori and D. W. Reynolds. 2006. On exact convergence rates for solutions of linear systems of Volterra difference equations. Journal Of Difference Equations And Applications, 12, 12, pp1257-1275.
- Appleby, J. A. D, M. Fabrizio, B. Lazzari and D. W. Reynolds. 2006. On exponential asymptotic stability in linear viscoelasticity. Mathematical Models And Methods In Applied Sciences, 16, 10, pp1677-1694.
- Appleby, J. A. D., I. Gyori and D. W. Reynolds. 2006. On exact rates of decay of solutions of linear systems of Volterra equations with delay. Journal Of Mathematical Analysis And Applications, 320, 1, pp56-77.
- Appleby, J. A. D., S. Devin and D. W. Reynolds. 2005. On the exponential convergence to a limit of solutions of perturbed linear Volterra equations. Elec Jnl Qualitative Theory Of Differential Equations, 9, , pp1-16.
- Appleby, J. A. D, I. Gyori and D. W. Reynolds. 2004. Subexponential Solutions of Scalar Linear Integro-Differential Equations with Delay. Functional Differential Equations, 11, 1-2, pp11-18.
- Appleby, J. A. D., and D. W. Reynolds. 2004. On the non-exponential decay to equilibrium of solutions of nonlinear scalar Volterra integro-differential equations. Elec Jnl Qualitative Theory Of Differential Equations, Proc. 7'th Coll. Qualitative Theory of Diff. Equ., No. 3., , pp1-14.
- Appleby, J. A. D., and D. W. Reynolds. 2004. On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations. Journal Of Integral Equations And Applications, 16, 3, pp221-240.
- Appleby, J.A.D. and D. W. Reynolds. 2004. Subexponential solutions of linear integrodifferential equations. Proceedings Of Dynamic Systems And Applications, IV, , pp488-494.
- Appleby, J. A. D., and D. W. Reynolds. 2003. Non-exponential Stability of Scalar Stochastic Volterra Equations. Statistics And Probability Letters, 62, , pp335-343.
- Appleby, J. A. D., and D. W. Reynolds. 2002. On the non--exponential convergence of asymptotically stable solutions of linear scalar Volterra integro--differential equations. Journal Of Integral Equations And Applications, 14, 2, pp109-118.
- Appleby, J. A. D., and D. W. Reynolds. 2002. Subexponential solutions of linear integro-differential equations and transient renewal equations. Proceedings Of The Royal Society Edinburgh, 132A, 3, pp521-543.
- Fabrizio, M., G. Gentili and D. W. Reynolds. 1998. On Rigid Linear Heat Conductors with Memory. International Journal Of Engineering Science, 36, 7-8, pp768-782.
- Fabrizio, M., G. Gentili and D. W. Reynolds. 1996. Rigid Heat Conductors with Memory. Zeitschrift Fuer Angewandte Mathematik Und Mechanik, 76, Supplement 5,
- Murphy, K., and D. W. Reynolds. 1996. The Stability of Bending Viscoelastic Rods. Zeitschrift Fuer Angewandte Mathematik Und Mechanik, 76, Supplement 5,
- Compelli, S. J., and D. W. Reynolds. 1992. Hopf bifurcation in the explodator. Proceedings Of The Royal Irish Academy, Section A, 92, 2, pp267-276.
- Reynolds, D. W. 1989. Bifurcation of harmonic solutions of an integro-differential equation modelling resonant water waves. S.i.a.m. Journal Of Applied Mathematics, 49, 2, pp362-372.
- Breen, C., A. T. Deane, J. J. Flynn and D. W. Reynolds. 1987. Sorption kinetics of methanol, propan-2-ol and 2-Methylpropan-2-ol by ... Exchanged Montmorillonite. Clays And Clay Minerals, 35, , pp336-342.
- Cox, E. A., and D. W. Reynolds. 1987. Periodic solutions of an integro-differential equation modelling resonant sloshing. Ima Journal Of Applied Mathematics, 38, 3, pp243-253.
- Reynolds, D. W. 1987. Existence of periodic solutions of an integro-differential equation modelling resonant water waves. Proceedings Of The Royal Irish Academy, Section A, 87, 2, pp155-161.
- Reynolds, D. W.,. 1985. On the linearised theory of buckling for a compressed viscoelastic rod. Proceedings Of Royal Society Edinburgh, Section A, 99, , pp371-386.
- Reynolds, D. W.,. 1984. On linear singular Volterra integral equations of the second kind. Journal Of Mathematical Analysis And Applications, 103, 1, pp230-262.
- Reynolds, D. W.,. 1984. On the equipartition of energy in a linear viscoelastic body. Quarterly Of Applied Mathematics, 42, 3, pp325-336.
- Gurtin, M. E., V. J. Mizel and D. W. Reynolds. 1982. On nontrivial solutions for a compressed linear viscoelastic rod. Journal Of Applied Mechanics, 49, 1, pp245-246.
- Reynolds, D. W.,. 1982. When is a nonlinear viscoelastic material hyperelastic?. Quarterly Of Applied Mathematics, 40, 4, pp492-496.
- Gurtin, M.E., D. W. Reynolds and S. J. Spector. 1980. On uniqueness and bifurcation in nonlinear viscoelasticity. Archive For Rational Mechanics And Analysis, 72, 4, pp303-313.
Selected Non-peer Reviewed Journals
- M. Fabrizio, G. Gentili and D. W. Reynolds. 1996. Free Energy and Stability for Heat Conductors with Linear Memory. , Suppl. 45, pp221-229.
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- Reynolds, D. W., Asymptotic behaviour of solutions of Volterra difference equations, Future Directions in Difference Equations 2011, 13-JUN-11 - 17-JUN-11, Vigo, Spain
- Reynolds, D. W., Asymptotic limits for linear Volterra difference equations, Progress of Difference Equations 2010, 21-MAY-10 - 25-MAY-10, Xanthi, Greece
- Reynolds, D. W., Precise asymptotic behaviour of solutions of Volterra equations with delay, 7th ISAAC Conference, 13-JUL-09 - 18-JUL-09, London, U.K.
- Reynolds, D. W., Admissibility of the resolvent of discrete Volterra equations, Progress of Difference Equations 2009, 25-MAY-09 - 29-MAY-09, Będlewo, Poland
- Reynolds, D. W., Rates of decay to equilibrium for a logistic equation with infinite delay, Numerical and analytical solution of stochastic delay differential models, 04-NOV-08 - 07-NOV-08, Chester, England
- Reynolds, D. W., Exact convergence rates to equilibrium for a logistic equation with infinite delay, International Conference on Differential and Difference Equations, 14-JUL-08 - 17-JUL-08, Veszprém, Hungary
- Reynolds, D. W., Asymptotic behaviour of solutions of Volterra difference equations and admissibility, Progress of Difference Equations 2008, 12-MAR-08 - 16-MAR-08, Laufen, Germanu
- Reynolds, D. W., Convergence to asymptotic equilibria for nonlinear Volterra equations, 8th Colloquium on Qualitative Theory of Differential Equations, 25-JUN-07 - 28-JUN-07, Szeged, Hungary
- Reynolds, D. W., Exact Asymptotic Behaviour of Linear Volterra Difference Equations, Algorithms for Approximation V, 18-JUL-05 - 22-JUL-05, Chester College, England, UK
- Reynolds, D. W., Stability and Rates of Decay in Linear Viscoelasticity, Dept. of Applied Mathematics Seminar, UCC, 09-DEC-04 - 09-DEC-04, Cork, Ireland
- Reynolds, D. W., Subexponential solutions of linear Volterra integro--differential systems, Dept. of Mathematics and Computing Seminar, University of Veszprém, 21-MAY-04 - 21-MAY-04, Veszprém, Hungary
- Reynolds, D. W., Exponential Stability for a class of Volterra Integro-differential Equations, Regional Meeting Hungarian Academy of Sciences, 17-MAY-04 - 17-MAY-04, Veszprém, Hungary
- Reynolds, D. W., Subexponential solutions of linear integro-diffeential equations with delay, International Conference on Delay Differential and Difference Equations with Applications, 25-AUG-03 - 29-AUG-03, Veszprém, Hungary
- Reynolds, D. W., On the non-exponential decay to equilibrium of solutions of nonlinear scalar Volterra integro-differential equations, 7th Colloquium on the Qualitative Theory of Differential Equations, 14-JUL-03 - 18-JUL-03, Szeged, Hungary
- Reynolds, D. W., Subexponential Solutions of Linear Integro-Differential Equations, 4th International Conference on Dynamic Systems and Applications, 21-MAY-03 - 24-MAY-03, Atlanta, GA, USA
- Reynolds, D. W., Exponential Decay in Materials with Memory, 14th National Congress of Applied Mechanics, 23-JUN-02 - 28-JUN-02, VPI, Blacksburg, VA, USA
- Reynolds, D. W., Subexponential solutions of linear integro-differential equations, Continuum Mechanics Seminar, Dept. of Mathematics, University of Bologna, 12-JUN-00 - 12-JUN-00, Bologna, Italy
- Reynolds, D. W., Subexponential Solutions of Linear Integro-Differential Equations, British Applied Mathematics Colloquium, Minisymposium on Causal Evolutionary Problems with Memory, 25-APR-00 - 28-APR-00, UMIST Manchester










