## Reynolds, David W.

Compute Distance To:
 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
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### 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.
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### 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
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### 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)

### 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 1114.45003
Appleby, John A. D.; Fabrizio, Mauro; Lazzari, Barbara; Reynolds, David W.
2006
On exact convergence rates for solutions of linear systems of Volterra difference equations. Zbl 1119.39003
Appleby, John A. D.; Győri, István; Reynolds, David W.
2006
On rigid linear heat conductors with memory. Zbl 1210.80007
Fabrizio, M.; Gentili, G.; Reynolds, D. W.
1998
On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations. Zbl 1088.45005
Appleby, John A. D.; Reynolds, David W.
2004
Subexponential solutions of linear integro-differential equations and transient renewal equations. Zbl 1009.45007
Appleby, John A. D.; Reynolds, David W.
2002
On exact rates of decay of solutions of linear systems of Volterra equations with delay. Zbl 1148.45003
Appleby, John A. D.; Győri, István; Reynolds, David W.
2006
Reverse adaptivity – a new evolutionary tool for structural optimization. Zbl 0949.74053
Reynolds, D.; McConnachie, J.; Bettess, P.; Christie, W. C.; Bull, J. W.
1999
On asymptotically periodic solutions of linear discrete Volterra equations. Zbl 1210.39009
Győri, István; Reynolds, David W.
2010
On admissibility of the resolvent of discrete Volterra equations. Zbl 1215.39005
Győri, István; Reynolds, David W.
2010
Almost sure convergence of solutions of linear stochastic Volterra equations to nonequilibrium limits. Zbl 1154.45012
Appleby, John A. D.; Devin, Siobhán; Reynolds, David W.
2007
On the non-exponential convergence of asymptotically stable solutions of linear scalar Volterra integro-differential equations. Zbl 1041.45009
Appleby, John A. D.; Reynolds, David W.
2002
Sharp conditions for boundedness in linear discrete Volterra equations. Zbl 1180.39017
Győri, István; Reynolds, David W.
2009
Decay rates of solutions of linear stochastic Volterra equations. Zbl 1188.45008
Reynolds, David W.; Appleby, John A. D.
2008
On linear singular Volterra integral equations of the second kind. Zbl 0557.45003
Reynolds, David W.
1984
Non-exponential stability of scalar stochastic Volterra equations. Zbl 1232.60044
Appleby, John A. D.; Reynolds, David W.
2003
Subexponential solutions of linear integro-differential equations. Zbl 1069.45007
Appleby, J. A. D.; Reynolds, D. W.
2004
On nontrivial solutions for a compressed linear viscoelastic rod. Zbl 0484.73037
Gurtin, Morton E.; Mizel, Victor J.; Reynolds, David W.
1982
Subexponential solutions of scalar linear integro-differential equations with delay. Zbl 1063.45005
Appleby, J. A. D.; Győri, I.; Reynolds, D. W.
2004
On asymptotic constancy for linear discrete summation equations. Zbl 1268.39018
Reynolds, David W.
2012
History-dependent decay rates for a logistic equation with infinite delay. Zbl 1221.34207
Appleby, John A. D.; Győri, István; Reynolds, David W.
2011
Explicit asymptotic limits for a class of discrete Volterra equations. Zbl 1261.39002
Győri, István; Reynolds, David W.
2012
On the exponential convergence to a limit of solutions of perturbed linear Volterra equations. Zbl 1078.45005
Appleby, John A. D.; Devin, Siobhán; Reynolds, David W.
2005
Bifurcation of harmonic solutions of an integro-differential equation modelling resonant sloshing. Zbl 0713.34047
Reynolds, D. W.
1989
On the linearized theory of buckling for a compressed viscoelastic rod. Zbl 0568.73049
Reynolds, David W.
1985
Corrigendum: Subexponential solutions of linear integro-differential equations and transient renewal equations. Zbl 1047.45003
Appleby, John A. D.; Reynolds, David W.
2003
On uniqueness and bifurcation in nonlinear viscoelasticity. Zbl 0419.73044
Gurtin, Morton E.; Reynolds, David W.; Spector, Scott J.
1980
On asymptotic constancy for linear discrete summation equations. Zbl 1268.39018
Reynolds, David W.
2012
Explicit asymptotic limits for a class of discrete Volterra equations. Zbl 1261.39002
Győri, István; Reynolds, David W.
2012
History-dependent decay rates for a logistic equation with infinite delay. Zbl 1221.34207
Appleby, John A. D.; Győri, István; Reynolds, David W.
2011
On asymptotically periodic solutions of linear discrete Volterra equations. Zbl 1210.39009
Győri, István; Reynolds, David W.
2010
On admissibility of the resolvent of discrete Volterra equations. Zbl 1215.39005
Győri, István; Reynolds, David W.
2010
Sharp conditions for boundedness in linear discrete Volterra equations. Zbl 1180.39017
Győri, István; Reynolds, David W.
2009
Decay rates of solutions of linear stochastic Volterra equations. Zbl 1188.45008
Reynolds, David W.; Appleby, John A. D.
2008
Almost sure convergence of solutions of linear stochastic Volterra equations to nonequilibrium limits. Zbl 1154.45012
Appleby, John A. D.; Devin, Siobhán; Reynolds, David W.
2007
On exponential asymptotic stability in linear viscoelasticity. Zbl 1114.45003
Appleby, John A. D.; Fabrizio, Mauro; Lazzari, Barbara; Reynolds, David W.
2006
On exact convergence rates for solutions of linear systems of Volterra difference equations. Zbl 1119.39003
Appleby, John A. D.; Győri, István; Reynolds, David W.
2006
On exact rates of decay of solutions of linear systems of Volterra equations with delay. Zbl 1148.45003
Appleby, John A. D.; Győri, István; Reynolds, David W.
2006
On the exponential convergence to a limit of solutions of perturbed linear Volterra equations. Zbl 1078.45005
Appleby, John A. D.; Devin, Siobhán; Reynolds, David W.
2005
On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations. Zbl 1088.45005
Appleby, John A. D.; Reynolds, David W.
2004
Subexponential solutions of linear integro-differential equations. Zbl 1069.45007
Appleby, J. A. D.; Reynolds, D. W.
2004
Subexponential solutions of scalar linear integro-differential equations with delay. Zbl 1063.45005
Appleby, J. A. D.; Győri, I.; Reynolds, D. W.
2004
Non-exponential stability of scalar stochastic Volterra equations. Zbl 1232.60044
Appleby, John A. D.; Reynolds, David W.
2003
Corrigendum: Subexponential solutions of linear integro-differential equations and transient renewal equations. Zbl 1047.45003
Appleby, John A. D.; Reynolds, David W.
2003
Subexponential solutions of linear integro-differential equations and transient renewal equations. Zbl 1009.45007
Appleby, John A. D.; Reynolds, David W.
2002
On the non-exponential convergence of asymptotically stable solutions of linear scalar Volterra integro-differential equations. Zbl 1041.45009
Appleby, John A. D.; Reynolds, David W.
2002
Reverse adaptivity – a new evolutionary tool for structural optimization. Zbl 0949.74053
Reynolds, D.; McConnachie, J.; Bettess, P.; Christie, W. C.; Bull, J. W.
1999
On rigid linear heat conductors with memory. Zbl 1210.80007
Fabrizio, M.; Gentili, G.; Reynolds, D. W.
1998
Bifurcation of harmonic solutions of an integro-differential equation modelling resonant sloshing. Zbl 0713.34047
Reynolds, D. W.
1989
On the linearized theory of buckling for a compressed viscoelastic rod. Zbl 0568.73049
Reynolds, David W.
1985
On linear singular Volterra integral equations of the second kind. Zbl 0557.45003
Reynolds, David W.
1984
On nontrivial solutions for a compressed linear viscoelastic rod. Zbl 0484.73037
Gurtin, Morton E.; Mizel, Victor J.; Reynolds, David W.
1982
On uniqueness and bifurcation in nonlinear viscoelasticity. Zbl 0419.73044
Gurtin, Morton E.; Reynolds, David W.; Spector, Scott J.
1980
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### 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
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### 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
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### 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)