Edit Profile (opens in new tab) Reynolds, David W. Compute Distance To: Compute Author ID: reynolds.david-w Published as: Reynolds, David W.; Reynolds, D. W. Documents Indexed: 42 Publications since 1980 1 Contribution as Editor Co-Authors: 11 Co-Authors with 29 Joint Publications 233 Co-Co-Authors all top 5 Co-Authors 7 single-authored 17 Appleby, John A. D. 10 Gyori, Istvan 4 Fabrizio, Mauro 3 Devin, Siobhán 3 Gentili, Giorgio 2 Bettess, Peter 2 Bull, John W. 2 Christie, W. C. 2 Gomatam, Jagannathan 2 Gurtin, Morton Edward 2 McConnachie, J. 1 Brickley, Dan 1 Buswell, S. 1 Carvalho, Luis Eduardo 1 Compelli, S. J. 1 Cox, Edward A. 1 Lazzari, Barbara 1 Matthews, B. M. 1 Miller, Libby 1 Mizel, Victor J. 1 Spector, Scott J. all top 5 Serials 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Difference Equations and Applications 3 Journal of Integral Equations and Applications 2 Artificial Intelligence 2 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 International Journal for Numerical Methods in Engineering 2 Quarterly of Applied Mathematics 2 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 2 Electronic Journal of Qualitative Theory of Differential Equations 1 Archive for Rational Mechanics and Analysis 1 IMA Journal of Applied Mathematics 1 International Journal of Engineering Science 1 Journal of Applied Mechanics 1 Fasciculi Mathematici 1 Note di Matematica 1 Statistics & Probability Letters 1 Journal of Applied Mathematics and Stochastic Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 Computational Statistics and Data Analysis 1 Electronic Journal of Probability 1 Functional Differential Equations all top 5 Fields 19 Integral equations (45-XX) 12 Mechanics of deformable solids (74-XX) 7 Difference and functional equations (39-XX) 6 Probability theory and stochastic processes (60-XX) 5 Ordinary differential equations (34-XX) 3 Computer science (68-XX) 3 Fluid mechanics (76-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Operator theory (47-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Partial differential equations (35-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 225 times in 168 Documents Cited by ▼ Year ▼ On exponential asymptotic stability in linear viscoelasticity. Zbl 1114.45003Appleby, John A. D.; Fabrizio, Mauro; Lazzari, Barbara; Reynolds, David W. 47 2006 On exact convergence rates for solutions of linear systems of Volterra difference equations. Zbl 1119.39003Appleby, John A. D.; Győri, István; Reynolds, David W. 29 2006 On rigid linear heat conductors with memory. Zbl 1210.80007Fabrizio, M.; Gentili, G.; Reynolds, D. W. 21 1998 On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations. Zbl 1088.45005Appleby, John A. D.; Reynolds, David W. 20 2004 Subexponential solutions of linear integro-differential equations and transient renewal equations. Zbl 1009.45007Appleby, John A. D.; Reynolds, David W. 14 2002 On exact rates of decay of solutions of linear systems of Volterra equations with delay. Zbl 1148.45003Appleby, John A. D.; Győri, István; Reynolds, David W. 12 2006 Reverse adaptivity – a new evolutionary tool for structural optimization. Zbl 0949.74053Reynolds, D.; McConnachie, J.; Bettess, P.; Christie, W. C.; Bull, J. W. 11 1999 On asymptotically periodic solutions of linear discrete Volterra equations. Zbl 1210.39009Győri, István; Reynolds, David W. 9 2010 On admissibility of the resolvent of discrete Volterra equations. Zbl 1215.39005Győri, István; Reynolds, David W. 9 2010 Almost sure convergence of solutions of linear stochastic Volterra equations to nonequilibrium limits. Zbl 1154.45012Appleby, John A. D.; Devin, Siobhán; Reynolds, David W. 9 2007 On the non-exponential convergence of asymptotically stable solutions of linear scalar Volterra integro-differential equations. Zbl 1041.45009Appleby, John A. D.; Reynolds, David W. 8 2002 Sharp conditions for boundedness in linear discrete Volterra equations. Zbl 1180.39017Győri, István; Reynolds, David W. 7 2009 Decay rates of solutions of linear stochastic Volterra equations. Zbl 1188.45008Reynolds, David W.; Appleby, John A. D. 6 2008 On linear singular Volterra integral equations of the second kind. Zbl 0557.45003Reynolds, David W. 6 1984 Non-exponential stability of scalar stochastic Volterra equations. Zbl 1232.60044Appleby, John A. D.; Reynolds, David W. 5 2003 Subexponential solutions of linear integro-differential equations. Zbl 1069.45007Appleby, J. A. D.; Reynolds, D. W. 4 2004 On nontrivial solutions for a compressed linear viscoelastic rod. Zbl 0484.73037Gurtin, Morton E.; Mizel, Victor J.; Reynolds, David W. 4 1982 Subexponential solutions of scalar linear integro-differential equations with delay. Zbl 1063.45005Appleby, J. A. D.; Győri, I.; Reynolds, D. W. 4 2004 On asymptotic constancy for linear discrete summation equations. Zbl 1268.39018Reynolds, David W. 2 2012 History-dependent decay rates for a logistic equation with infinite delay. Zbl 1221.34207Appleby, John A. D.; Győri, István; Reynolds, David W. 2 2011 Explicit asymptotic limits for a class of discrete Volterra equations. Zbl 1261.39002Győri, István; Reynolds, David W. 2 2012 On the exponential convergence to a limit of solutions of perturbed linear Volterra equations. Zbl 1078.45005Appleby, John A. D.; Devin, Siobhán; Reynolds, David W. 1 2005 Bifurcation of harmonic solutions of an integro-differential equation modelling resonant sloshing. Zbl 0713.34047Reynolds, D. W. 1 1989 On the linearized theory of buckling for a compressed viscoelastic rod. Zbl 0568.73049Reynolds, David W. 1 1985 Corrigendum: Subexponential solutions of linear integro-differential equations and transient renewal equations. Zbl 1047.45003Appleby, John A. D.; Reynolds, David W. 1 2003 On uniqueness and bifurcation in nonlinear viscoelasticity. Zbl 0419.73044Gurtin, Morton E.; Reynolds, David W.; Spector, Scott J. 1 1980 On asymptotic constancy for linear discrete summation equations. Zbl 1268.39018Reynolds, David W. 2 2012 Explicit asymptotic limits for a class of discrete Volterra equations. Zbl 1261.39002Győri, István; Reynolds, David W. 2 2012 History-dependent decay rates for a logistic equation with infinite delay. Zbl 1221.34207Appleby, John A. D.; Győri, István; Reynolds, David W. 2 2011 On asymptotically periodic solutions of linear discrete Volterra equations. Zbl 1210.39009Győri, István; Reynolds, David W. 9 2010 On admissibility of the resolvent of discrete Volterra equations. Zbl 1215.39005Győri, István; Reynolds, David W. 9 2010 Sharp conditions for boundedness in linear discrete Volterra equations. Zbl 1180.39017Győri, István; Reynolds, David W. 7 2009 Decay rates of solutions of linear stochastic Volterra equations. Zbl 1188.45008Reynolds, David W.; Appleby, John A. D. 6 2008 Almost sure convergence of solutions of linear stochastic Volterra equations to nonequilibrium limits. Zbl 1154.45012Appleby, John A. D.; Devin, Siobhán; Reynolds, David W. 9 2007 On exponential asymptotic stability in linear viscoelasticity. Zbl 1114.45003Appleby, John A. D.; Fabrizio, Mauro; Lazzari, Barbara; Reynolds, David W. 47 2006 On exact convergence rates for solutions of linear systems of Volterra difference equations. Zbl 1119.39003Appleby, John A. D.; Győri, István; Reynolds, David W. 29 2006 On exact rates of decay of solutions of linear systems of Volterra equations with delay. Zbl 1148.45003Appleby, John A. D.; Győri, István; Reynolds, David W. 12 2006 On the exponential convergence to a limit of solutions of perturbed linear Volterra equations. Zbl 1078.45005Appleby, John A. D.; Devin, Siobhán; Reynolds, David W. 1 2005 On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations. Zbl 1088.45005Appleby, John A. D.; Reynolds, David W. 20 2004 Subexponential solutions of linear integro-differential equations. Zbl 1069.45007Appleby, J. A. D.; Reynolds, D. W. 4 2004 Subexponential solutions of scalar linear integro-differential equations with delay. Zbl 1063.45005Appleby, J. A. D.; Győri, I.; Reynolds, D. W. 4 2004 Non-exponential stability of scalar stochastic Volterra equations. Zbl 1232.60044Appleby, John A. D.; Reynolds, David W. 5 2003 Corrigendum: Subexponential solutions of linear integro-differential equations and transient renewal equations. Zbl 1047.45003Appleby, John A. D.; Reynolds, David W. 1 2003 Subexponential solutions of linear integro-differential equations and transient renewal equations. Zbl 1009.45007Appleby, John A. D.; Reynolds, David W. 14 2002 On the non-exponential convergence of asymptotically stable solutions of linear scalar Volterra integro-differential equations. Zbl 1041.45009Appleby, John A. D.; Reynolds, David W. 8 2002 Reverse adaptivity – a new evolutionary tool for structural optimization. Zbl 0949.74053Reynolds, D.; McConnachie, J.; Bettess, P.; Christie, W. C.; Bull, J. W. 11 1999 On rigid linear heat conductors with memory. Zbl 1210.80007Fabrizio, M.; Gentili, G.; Reynolds, D. W. 21 1998 Bifurcation of harmonic solutions of an integro-differential equation modelling resonant sloshing. Zbl 0713.34047Reynolds, D. W. 1 1989 On the linearized theory of buckling for a compressed viscoelastic rod. Zbl 0568.73049Reynolds, David W. 1 1985 On linear singular Volterra integral equations of the second kind. Zbl 0557.45003Reynolds, David W. 6 1984 On nontrivial solutions for a compressed linear viscoelastic rod. Zbl 0484.73037Gurtin, Morton E.; Mizel, Victor J.; Reynolds, David W. 4 1982 On uniqueness and bifurcation in nonlinear viscoelasticity. Zbl 0419.73044Gurtin, Morton E.; Reynolds, David W.; Spector, Scott J. 1 1980 all cited Publications top 5 cited Publications all top 5 Cited by 195 Authors 17 Appleby, John A. D. 12 Algharabli, Mohammad M. 12 Reynolds, David W. 11 Gyori, Istvan 11 Tatar, Nasser-eddine 10 Al-Mahdi, Adel M. 8 Messina, Eleonora 7 Fabrizio, Mauro 7 Schmeidel, Ewa L. 6 Carillo, Sandra 6 Vecchio, Antonia 5 Diblík, Josef 5 Migda, Małgorzata 5 Pham Huu Anh Ngoc 5 Růžičková, Miroslava 4 Amendola, Giovambattista 4 Pata, Vittorino 3 Čermák, Jan 3 Domingos Cavalcanti, Valéria Neves 3 Guesmia, Aissa 3 Horváth, László 3 Lazzari, Barbara 3 Liang, Fei 3 Messaoudi, Salim A. 2 Agarwal, Ravi P. 2 Alahyane, Mohamed 2 Anh, Tran The 2 Awwad, Essam 2 Bohner, Martin J. 2 Cavalcanti, Marcelo Moreira 2 Coelho, Emanuela R. S. 2 Colombo, Fabrizio 2 Conti, Monica C. 2 Daniels, John A. 2 Feng, Lichao 2 Gao, Hongjun 2 Gil’, Michael Iosif 2 Gronek, Tomasz 2 Kafini, Mohammad Mustafa 2 Kisela, Tomáš 2 Krol, Katja 2 Li, Shoumei 2 Mao, Xuerong 2 Migda, Janusz 2 Nechvátal, Luděk 2 O’Regan, Donal 2 Wang, Dongling 2 Wong, Patricia J. Y. 2 Zakora, Dmitriĭ Aleksandrovich 2 Zhao, Dianli 1 Aghajani, Asadollah 1 Al-Omari, Shadi 1 Alabau-Boussouira, Fatiha 1 Amar, Micol 1 Andreucci, Daniele 1 Annunziato, Mario 1 Aouadi, Moncef 1 Baker, Christopher Thomas Hale 1 Balachandar, S. Raja 1 Bao, Jinqing 1 Bisegna, Paolo 1 Bosello, Carlo Alberto 1 Brunner, Hermann 1 Buckwar, Evelyn 1 Cannarsa, Piermarco 1 Chen, Yangquan 1 Chen, Yuezhong 1 Chen, Yun 1 Cheng, Yue-Wen 1 Chiriţă, Stan 1 Chupáč, Radoslav 1 Ciarletta, Michele 1 Clementi, Francesco 1 Conlon, Joseph G. 1 Dabkowski, Michael G. 1 de la Sen, Manuel 1 de Souza Franco, A. Y. 1 Dell’Oro, Filippo 1 Demeio, Lucio 1 Devin, Siobhán 1 Deya, Aurélien 1 Ding, Huisheng 1 Domoshnitsky, Alexander I. 1 Dutkiewicz, Aldona 1 Gajda, Karol 1 Gamboa, Pedro 1 Gao, Hang 1 Gao, Jianfang 1 Gatti, Stefania 1 Gentili, Giorgio 1 Gianni, Roberto 1 Golden, John Murrough 1 González, Cristóbal 1 Grandits, Peter 1 Guidetti, Davide 1 Guo, Zhenhua 1 Gurtin, Morton Edward 1 Han, Dong 1 Hartung, Ferenc 1 Hoseini, Seyede Fatemeh ...and 95 more Authors all top 5 Cited in 78 Serials 16 Applied Mathematics and Computation 13 Journal of Mathematical Analysis and Applications 8 Advances in Difference Equations 7 Journal of Integral Equations and Applications 7 Journal of Difference Equations and Applications 5 Computers & Mathematics with Applications 5 Quarterly of Applied Mathematics 4 Journal of Mathematical Physics 4 Journal of Inequalities and Applications 3 Applicable Analysis 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Computational and Applied Mathematics 3 Journal of Differential Equations 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Abstract and Applied Analysis 3 Discrete Dynamics in Nature and Society 3 Discrete and Continuous Dynamical Systems. Series B 3 Mediterranean Journal of Mathematics 3 Evolution Equations and Control Theory 2 Mathematical Methods in the Applied Sciences 2 Meccanica 2 Acta Applicandae Mathematicae 2 Journal of Elasticity 2 Discrete and Continuous Dynamical Systems 2 Positivity 2 Communications on Pure and Applied Analysis 2 Boundary Value Problems 2 Nonautonomous Dynamical Systems 1 Archive for Rational Mechanics and Analysis 1 International Journal of Control 1 International Journal of Engineering Science 1 Journal of Statistical Physics 1 Mathematical Notes 1 Chaos, Solitons and Fractals 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Optimization 1 Automatica 1 Demonstratio Mathematica 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Ricerche di Matematica 1 SIAM Journal on Numerical Analysis 1 Statistics & Probability Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Physica D 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Journal of Applied Mathematics and Stochastic Analysis 1 European Journal of Applied Mathematics 1 Signal Processing 1 Numerical Algorithms 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Journal of Non-Equilibrium Thermodynamics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Continuum Mechanics and Thermodynamics 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Fractional Calculus & Applied Analysis 1 Mathematical Modelling and Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Journal of Applied Mathematics 1 Stochastics and Dynamics 1 Journal of Applied Mathematics and Computing 1 African Diaspora Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Stochastics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Complex Variables and Elliptic Equations 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Nonlinear Oscillations 1 AIMS Mathematics 1 Mathematics in Engineering all top 5 Cited in 24 Fields 66 Integral equations (45-XX) 51 Partial differential equations (35-XX) 45 Mechanics of deformable solids (74-XX) 33 Ordinary differential equations (34-XX) 28 Difference and functional equations (39-XX) 22 Systems theory; control (93-XX) 20 Probability theory and stochastic processes (60-XX) 16 Numerical analysis (65-XX) 14 Classical thermodynamics, heat transfer (80-XX) 7 Operator theory (47-XX) 4 Fluid mechanics (76-XX) 4 Biology and other natural sciences (92-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year