Edit Profile Coppel, William Andrew Compute Distance To: Compute Author ID: coppel.william-andrew Published as: Coppel, W. A.; Coppel, William A.; Coppel, William Andrew Documents Indexed: 58 Publications since 1955, including 13 Books all top 5 Co-Authors 48 single-authored 2 Block, Louis Stuart 2 Cullen, D. J. 2 Howe, Adina 1 Anderson, Brian David Outram 1 Chang, Kaiwen 1 Gavrilov, Lubomir 1 Palmer, Karen J. 1 Peaslee, D. C. all top 5 Serials 9 Bulletin of the Australian Mathematical Society 6 Journal of Differential Equations 4 Lecture Notes in Mathematics 3 Journal of the Australian Mathematical Society 2 American Mathematical Monthly 2 Journal of the Australian Mathematical Society, Series B 2 Differential and Integral Equations 2 Proceedings of the Cambridge Philosophical Society 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Quarterly Journal of Mechanics and Applied Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bollettino della Unione Matematica Italiana. Series III 1 Journal of the London Mathematical Society 1 Australian Mathematical Society Lecture Series 1 Universitext 1 Proceedings of the Centre for Mathematical Analysis, Australian National University all top 5 Fields 15 Ordinary differential equations (34-XX) 12 Dynamical systems and ergodic theory (37-XX) 7 General and overarching topics; collections (00-XX) 7 Number theory (11-XX) 7 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 Convex and discrete geometry (52-XX) 3 General topology (54-XX) 2 Combinatorics (05-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 45 Publications have been cited 2,418 times in 2,220 Documents Cited by ▼ Year ▼ Stability and asymptotic behavior of differential equations. Zbl 0154.09301Coppel, W. A. 641 1965 Dichotomies in stability theory. Zbl 0376.34001Coppel, W. A. 548 1978 Dynamics in one dimension. Zbl 0746.58007Block, Louis Stuart; Coppel, William Andrew 340 1992 Disconjugacy. Zbl 0224.34003Coppel, W. A. 225 1971 A survey of quadratic systems. Zbl 0143.11903Coppel, W. A. 108 1966 Dichotomies and reducibility. Zbl 0162.39104Coppel, W. A. 83 1967 On a differential equation of boundary-layer theory. Zbl 0093.19105Coppel, W. A. 59 1960 Matrix quadratic equations. Zbl 0276.15019Coppel, W. A. 50 1974 Some quadratic systems with at most one limit cycle. Zbl 0674.34026Coppel, W. A. 33 1989 The period function of a Hamiltonian quadratic system. Zbl 0780.34023Coppel, W. A.; Gavrilov, L. 27 1993 The solution of equations by iteration. Zbl 0064.12303Coppel, W. A. 24 1955 A new class of quadratic systems. Zbl 0733.58037Coppel, W. A. 23 1991 Almost periodic properties of ordinary differential equations. Zbl 0153.12301Coppel, W. A. 22 1967 Foundations of convex geometry. Zbl 0901.52001Coppel, W. A. 19 1998 Singular perturbations of initial value problems over a finite interval. Zbl 0175.38401Chang, K. W.; Coppel, W. A. 16 1969 Stratification of continuous maps of an interval. Zbl 0606.54032Block, L. S.; Coppel, W. A. 15 1986 On the stability of ordinary differential equations. Zbl 0128.08205Coppel, W. A. 15 1964 Matrices of rational functions. Zbl 0281.15019Coppel, W. A. 14 1974 On the stability of linear canonical systems with periodic coefficients. Zbl 0168.33904Coppel, W. A.; Howe, A. 13 1966 Strong system equivalence. I. Zbl 0594.93015Anderson, B. D. O.; Coppel, W. A.; Cullen, D. J. 12 1985 Linear systems. Zbl 0299.93001Coppel, W. A. 12 1972 Quadratic systems with a degenerate critical point. Zbl 0634.34013Coppel, W. A. 11 1988 Linear-quadratic optimal control. Zbl 0335.49008Coppel, W. A. 11 1975 Dichotomies and reducibility. II. Zbl 0203.39806Coppel, W. A. 11 1968 Dichotomies and Lyapunov functions. Zbl 0488.34042Coppel, W. A. 9 1984 Strong system equivalence. II. Zbl 0594.93016Coppel, W. A.; Cullen, D. J. 8 1985 Sarkovskii-minimal orbits. Zbl 0521.58044Coppel, W. A. 8 1983 Pseudo-autonomous linear systems. Zbl 0328.34007Coppel, W. A. 8 1977 Averaging and integral manifolds. Zbl 0186.15705Coppel, W. A.; Palmer, K. J. 8 1970 Comparison theorems for canonical systems of differential equations. Zbl 0137.27902Coppel, W. A. 8 1965 A simple class of quadratic systems. Zbl 0603.34023Coppel, W. A. 6 1986 An interesting Cantor set. Zbl 0588.28001Coppel, W. A. 6 1983 A theory of polytopes. Zbl 0838.52014Coppel, W. A. 4 1995 Axioms for convexity. Zbl 0781.52001Coppel, W. A. 4 1993 Note on an equation of boundary-layer theory. Zbl 0104.20504Coppel, W. A. 3 1961 On the equation of a synchronous motor. Zbl 0085.18002Coppel, W. A. 3 1959 Number theory. An introduction to mathematics. 2nd ed. Zbl 1195.11001Coppel, W. A. 2 2009 Dynamical instability of linear canonical systems. Zbl 0146.32501Coppel, W. A.; Howe, A. 2 1967 Number theory. An introduction to mathematics. Part A. Revised printing of the 2002 edition. Zbl 1145.11001Coppel, William A. 1 2006 Number theory: an introduction to mathematics. Part A. Zbl 0997.11001Coppel, W. A. 1 2002 A new type of matrix quadratic equation. Zbl 0517.15013Coppel, W. A. 1 1983 Mathematics from control theory. Zbl 0337.49008Coppel, W. A. 1 1976 On an inequality of Bombieri. Zbl 0174.12401Peaslee, D. C.; Coppel, W. A. 1 1969 On the uniqueness of limit cycles. Zbl 0128.31402Coppel, W. A. 1 1964 Perturbation of periodic solutions: The degenerate case. Zbl 0131.08702Coppel, W. A. 1 1963 Number theory. An introduction to mathematics. 2nd ed. Zbl 1195.11001Coppel, W. A. 2 2009 Number theory. An introduction to mathematics. Part A. Revised printing of the 2002 edition. Zbl 1145.11001Coppel, William A. 1 2006 Number theory: an introduction to mathematics. Part A. Zbl 0997.11001Coppel, W. A. 1 2002 Foundations of convex geometry. Zbl 0901.52001Coppel, W. A. 19 1998 A theory of polytopes. Zbl 0838.52014Coppel, W. A. 4 1995 The period function of a Hamiltonian quadratic system. Zbl 0780.34023Coppel, W. A.; Gavrilov, L. 27 1993 Axioms for convexity. Zbl 0781.52001Coppel, W. A. 4 1993 Dynamics in one dimension. Zbl 0746.58007Block, Louis Stuart; Coppel, William Andrew 340 1992 A new class of quadratic systems. Zbl 0733.58037Coppel, W. A. 23 1991 Some quadratic systems with at most one limit cycle. Zbl 0674.34026Coppel, W. A. 33 1989 Quadratic systems with a degenerate critical point. Zbl 0634.34013Coppel, W. A. 11 1988 Stratification of continuous maps of an interval. Zbl 0606.54032Block, L. S.; Coppel, W. A. 15 1986 A simple class of quadratic systems. Zbl 0603.34023Coppel, W. A. 6 1986 Strong system equivalence. I. Zbl 0594.93015Anderson, B. D. O.; Coppel, W. A.; Cullen, D. J. 12 1985 Strong system equivalence. II. Zbl 0594.93016Coppel, W. A.; Cullen, D. J. 8 1985 Dichotomies and Lyapunov functions. Zbl 0488.34042Coppel, W. A. 9 1984 Sarkovskii-minimal orbits. Zbl 0521.58044Coppel, W. A. 8 1983 An interesting Cantor set. Zbl 0588.28001Coppel, W. A. 6 1983 A new type of matrix quadratic equation. Zbl 0517.15013Coppel, W. A. 1 1983 Dichotomies in stability theory. Zbl 0376.34001Coppel, W. A. 548 1978 Pseudo-autonomous linear systems. Zbl 0328.34007Coppel, W. A. 8 1977 Mathematics from control theory. Zbl 0337.49008Coppel, W. A. 1 1976 Linear-quadratic optimal control. Zbl 0335.49008Coppel, W. A. 11 1975 Matrix quadratic equations. Zbl 0276.15019Coppel, W. A. 50 1974 Matrices of rational functions. Zbl 0281.15019Coppel, W. A. 14 1974 Linear systems. Zbl 0299.93001Coppel, W. A. 12 1972 Disconjugacy. Zbl 0224.34003Coppel, W. A. 225 1971 Averaging and integral manifolds. Zbl 0186.15705Coppel, W. A.; Palmer, K. J. 8 1970 Singular perturbations of initial value problems over a finite interval. Zbl 0175.38401Chang, K. W.; Coppel, W. A. 16 1969 On an inequality of Bombieri. Zbl 0174.12401Peaslee, D. C.; Coppel, W. A. 1 1969 Dichotomies and reducibility. II. Zbl 0203.39806Coppel, W. A. 11 1968 Dichotomies and reducibility. Zbl 0162.39104Coppel, W. A. 83 1967 Almost periodic properties of ordinary differential equations. Zbl 0153.12301Coppel, W. A. 22 1967 Dynamical instability of linear canonical systems. Zbl 0146.32501Coppel, W. A.; Howe, A. 2 1967 A survey of quadratic systems. Zbl 0143.11903Coppel, W. A. 108 1966 On the stability of linear canonical systems with periodic coefficients. Zbl 0168.33904Coppel, W. A.; Howe, A. 13 1966 Stability and asymptotic behavior of differential equations. Zbl 0154.09301Coppel, W. A. 641 1965 Comparison theorems for canonical systems of differential equations. Zbl 0137.27902Coppel, W. A. 8 1965 On the stability of ordinary differential equations. Zbl 0128.08205Coppel, W. A. 15 1964 On the uniqueness of limit cycles. Zbl 0128.31402Coppel, W. A. 1 1964 Perturbation of periodic solutions: The degenerate case. Zbl 0131.08702Coppel, W. A. 1 1963 Note on an equation of boundary-layer theory. Zbl 0104.20504Coppel, W. A. 3 1961 On a differential equation of boundary-layer theory. Zbl 0093.19105Coppel, W. A. 59 1960 On the equation of a synchronous motor. Zbl 0085.18002Coppel, W. A. 3 1959 The solution of equations by iteration. Zbl 0064.12303Coppel, W. A. 24 1955 all cited Publications top 5 cited Publications all top 5 Cited by 2,129 Authors 75 Valls Anglés, Cláudia 68 Barreira, Luis Manuel 34 Llibre, Jaume 28 Johnson, Russell Allan 26 Palmer, Kenneth James 25 Pinto, Manuel 22 Dragičević, Davor 21 Šimon Hilscher, Roman 18 Eloe, Paul W. 17 Fečkan, Michal 17 Sugie, Jitsuro 16 Battelli, Flaviano 16 Cánovas, Jose S. 16 Mai, Jiehua 16 Sun, Taixiang 15 Shi, Yuming 14 Coppel, William Andrew 14 Gasull, Armengol 13 Hallam, Thomas G. 13 Li, Michael Yi 13 Lovelady, David Lowell 13 Martin, Robert H. jun. 13 Obaya, Rafael 12 Došlý, Ondřej 12 Kohaupt, Ludwig G. 12 Šepitka, Peter 12 Steele, Timothy H. 12 Wimmer, Harald K. 12 Zhang, Weinian 11 Ahmad, Shair 11 Erbe, Lynn Harry 11 Fabbri, Roberta 11 Lin, Xiaobiao 11 Preda, Ciprian 10 Agarwal, Ravi P. 10 Balasuriya, Sanjeeva 10 Balibrea, Francisco 10 Henderson, Johnny Lee 10 Huang, Yu 10 Li, Risong 10 Pituk, Mihály 10 Rodman, Leiba X. 10 Sasu, Bogdan 9 Bainov, Drumi Dimitrov 9 Block, Louis Stuart 9 d’Onofrio, Alberto 9 Muldowney, James S. 9 Naulin, Raúl M. 9 Núñez, Carmen A. 9 Sell, George Roger 9 Smítal, Jaroslav 9 Xia, Yonghui 9 Zumbrun, Kevin R. 8 Chu, Jifeng 8 Jiménez López, Víctor 8 Lutz, Donald A. 8 Meng, Fanwei 8 Oprocha, Piotr 8 Robledo, Gonzalo 8 Rodrigues, Hildebrando Munhoz 8 Sandstede, Björn 8 Wong, Patricia J. Y. 7 Artés, Joan Carles 7 Cushing, Jim M. 7 D’Aniello, Emma 7 Elaydi, Saber Nasr 7 Gohberg, Israel 7 Gyori, Istvan 7 Hong, Jialin 7 Jiang, Jifa 7 Lazer, Alan C. 7 Linero Bas, Antonio 7 Nguyen Van Minh 7 Onitsuka, Masakazu 7 Pašić, Mervan 7 Preda, Petre 7 Sacker, Robert J. 7 Sasu, Adina Luminiţa 7 Siegmund, Stefan 7 Smith, Hal Leslie 7 Snoha, L’ubomír 7 Sun, Yuangong 7 Van Vleck, Erik S. 7 Villadelprat, Jordi 7 Wang, Liancheng 7 Wang, Lidong 7 Wong, James S. W. 7 Xi, Hongjian 6 Ahmad, Bashir 6 Aulbach, Bernd 6 Castañeda, Alvaro 6 Du, Bau-Sen 6 Ferrante, Augusto 6 Hinton, Don Barker 6 Hüls, Thorsten 6 Kaashoek, Marinus Adriaan 6 Kannan, V. 6 Kloeden, Peter Eris 6 Kooij, Robert E. 6 Kwong, Man Kam ...and 2,029 more Authors all top 5 Cited in 301 Serials 251 Journal of Mathematical Analysis and Applications 248 Journal of Differential Equations 73 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 69 Proceedings of the American Mathematical Society 53 Nonlinear Analysis. Theory, Methods & Applications 51 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 50 Linear Algebra and its Applications 48 Topology and its Applications 47 Journal of Dynamics and Differential Equations 41 Journal of Difference Equations and Applications 38 Chaos, Solitons and Fractals 35 Applied Mathematics and Computation 33 Transactions of the American Mathematical Society 30 Annali di Matematica Pura ed Applicata. Serie Quarta 29 Computers & Mathematics with Applications 28 Systems & Control Letters 27 International Journal of Control 27 Journal of Computational and Applied Mathematics 26 Mathematical Biosciences 24 Qualitative Theory of Dynamical Systems 23 Archive for Rational Mechanics and Analysis 23 Rocky Mountain Journal of Mathematics 22 Applied Mathematics Letters 22 Nonlinear Analysis. Real World Applications 20 Bulletin of the Australian Mathematical Society 20 Automatica 18 Mathematical and Computer Modelling 16 Journal of Mathematical Biology 16 Bulletin des Sciences Mathématiques 15 Ergodic Theory and Dynamical Systems 15 Discrete and Continuous Dynamical Systems 14 Czechoslovak Mathematical Journal 14 Discrete Dynamics in Nature and Society 14 Discrete and Continuous Dynamical Systems. Series B 13 Journal of Mathematical Chemistry 13 Abstract and Applied Analysis 12 International Journal of Systems Science 12 Ukrainian Mathematical Journal 12 Physica D 11 Journal of Approximation Theory 11 Mathematical Systems Theory 11 Acta Mathematica Sinica. English Series 10 Integral Equations and Operator Theory 10 Journal of Functional Analysis 10 Results in Mathematics 9 Advances in Difference Equations 8 Communications in Mathematical Physics 8 Mathematica Slovaca 8 Monatshefte für Mathematik 8 Tohoku Mathematical Journal. Second Series 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 International Journal of Theoretical Physics 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Bulletin of Mathematical Biology 7 Mathematics and Computers in Simulation 7 Mathematika 7 Aequationes Mathematicae 7 Differential Equations 7 Dynamical Systems 7 Communications on Pure and Applied Analysis 7 SIAM Journal on Applied Dynamical Systems 7 International Journal of Differential Equations 6 Journal of Mathematical Physics 6 Nonlinearity 6 Fuzzy Sets and Systems 6 Proceedings of the Japan Academy. Series A 6 International Journal of Computer Mathematics 6 Acta Mathematica Sinica. New Series 6 Journal of Mathematical Sciences (New York) 6 Chaos 6 Discrete and Continuous Dynamical Systems. Series S 5 Journal of Engineering Mathematics 5 Linear and Multilinear Algebra 5 Mathematical Notes 5 Advances in Mathematics 5 Applied Mathematics and Mechanics. (English Edition) 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Science in China. Series A 5 SIAM Journal on Mathematical Analysis 5 Differential Equations and Dynamical Systems 5 Nonlinear Dynamics 5 Journal of Applied Mathematics 5 Advanced Nonlinear Studies 5 Journal of Applied Analysis and Computation 4 Applicable Analysis 4 Journal of the Franklin Institute 4 Mathematical Methods in the Applied Sciences 4 Physics Letters. A 4 Mathematics of Computation 4 BIT 4 Numerical Functional Analysis and Optimization 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Semigroup Forum 4 Theoretical Computer Science 4 Communications in Nonlinear Science and Numerical Simulation 4 Mediterranean Journal of Mathematics 4 Bulletin of the American Mathematical Society 3 International Journal of Modern Physics B 3 International Journal of General Systems 3 Mathematical Proceedings of the Cambridge Philosophical Society ...and 201 more Serials all top 5 Cited in 61 Fields 1,256 Ordinary differential equations (34-XX) 673 Dynamical systems and ergodic theory (37-XX) 203 Systems theory; control (93-XX) 194 Biology and other natural sciences (92-XX) 154 Partial differential equations (35-XX) 138 General topology (54-XX) 134 Difference and functional equations (39-XX) 132 Operator theory (47-XX) 99 Numerical analysis (65-XX) 81 Linear and multilinear algebra; matrix theory (15-XX) 65 Fluid mechanics (76-XX) 44 Integral equations (45-XX) 43 Real functions (26-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Mechanics of particles and systems (70-XX) 20 Approximations and expansions (41-XX) 19 Probability theory and stochastic processes (60-XX) 18 Mechanics of deformable solids (74-XX) 17 Measure and integration (28-XX) 15 Functional analysis (46-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Convex and discrete geometry (52-XX) 13 Computer science (68-XX) 12 Quantum theory (81-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Abstract harmonic analysis (43-XX) 7 Mathematical logic and foundations (03-XX) 7 Combinatorics (05-XX) 7 Functions of a complex variable (30-XX) 7 Differential geometry (53-XX) 7 Statistics (62-XX) 7 Operations research, mathematical programming (90-XX) 7 Information and communication theory, circuits (94-XX) 6 Algebraic geometry (14-XX) 5 History and biography (01-XX) 5 Geometry (51-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Geophysics (86-XX) 4 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 4 Algebraic topology (55-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Manifolds and cell complexes (57-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Integral transforms, operational calculus (44-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX) Citations by Year