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## Coppel, William Andrew

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

#### 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 0154.09301
Coppel, W. A.
1965
Dichotomies in stability theory. Zbl 0376.34001
Coppel, W. A.
1978
Dynamics in one dimension. Zbl 0746.58007
Block, Louis Stuart; Coppel, William Andrew
1992
Disconjugacy. Zbl 0224.34003
Coppel, W. A.
1971
A survey of quadratic systems. Zbl 0143.11903
Coppel, W. A.
1966
Dichotomies and reducibility. Zbl 0162.39104
Coppel, W. A.
1967
On a differential equation of boundary-layer theory. Zbl 0093.19105
Coppel, W. A.
1960
Coppel, W. A.
1974
Some quadratic systems with at most one limit cycle. Zbl 0674.34026
Coppel, W. A.
1989
The period function of a Hamiltonian quadratic system. Zbl 0780.34023
Coppel, W. A.; Gavrilov, L.
1993
The solution of equations by iteration. Zbl 0064.12303
Coppel, W. A.
1955
A new class of quadratic systems. Zbl 0733.58037
Coppel, W. A.
1991
Almost periodic properties of ordinary differential equations. Zbl 0153.12301
Coppel, W. A.
1967
Foundations of convex geometry. Zbl 0901.52001
Coppel, W. A.
1998
Singular perturbations of initial value problems over a finite interval. Zbl 0175.38401
Chang, K. W.; Coppel, W. A.
1969
Stratification of continuous maps of an interval. Zbl 0606.54032
Block, L. S.; Coppel, W. A.
1986
On the stability of ordinary differential equations. Zbl 0128.08205
Coppel, W. A.
1964
Matrices of rational functions. Zbl 0281.15019
Coppel, W. A.
1974
On the stability of linear canonical systems with periodic coefficients. Zbl 0168.33904
Coppel, W. A.; Howe, A.
1966
Strong system equivalence. I. Zbl 0594.93015
Anderson, B. D. O.; Coppel, W. A.; Cullen, D. J.
1985
Linear systems. Zbl 0299.93001
Coppel, W. A.
1972
Quadratic systems with a degenerate critical point. Zbl 0634.34013
Coppel, W. A.
1988
Coppel, W. A.
1975
Dichotomies and reducibility. II. Zbl 0203.39806
Coppel, W. A.
1968
Dichotomies and Lyapunov functions. Zbl 0488.34042
Coppel, W. A.
1984
Strong system equivalence. II. Zbl 0594.93016
Coppel, W. A.; Cullen, D. J.
1985
Sarkovskii-minimal orbits. Zbl 0521.58044
Coppel, W. A.
1983
Pseudo-autonomous linear systems. Zbl 0328.34007
Coppel, W. A.
1977
Averaging and integral manifolds. Zbl 0186.15705
Coppel, W. A.; Palmer, K. J.
1970
Comparison theorems for canonical systems of differential equations. Zbl 0137.27902
Coppel, W. A.
1965
A simple class of quadratic systems. Zbl 0603.34023
Coppel, W. A.
1986
An interesting Cantor set. Zbl 0588.28001
Coppel, W. A.
1983
A theory of polytopes. Zbl 0838.52014
Coppel, W. A.
1995
Axioms for convexity. Zbl 0781.52001
Coppel, W. A.
1993
Note on an equation of boundary-layer theory. Zbl 0104.20504
Coppel, W. A.
1961
On the equation of a synchronous motor. Zbl 0085.18002
Coppel, W. A.
1959
Number theory. An introduction to mathematics. 2nd ed. Zbl 1195.11001
Coppel, W. A.
2009
Dynamical instability of linear canonical systems. Zbl 0146.32501
Coppel, W. A.; Howe, A.
1967
Number theory. An introduction to mathematics. Part A. Revised printing of the 2002 edition. Zbl 1145.11001
Coppel, William A.
2006
Number theory: an introduction to mathematics. Part A. Zbl 0997.11001
Coppel, W. A.
2002
A new type of matrix quadratic equation. Zbl 0517.15013
Coppel, W. A.
1983
Mathematics from control theory. Zbl 0337.49008
Coppel, W. A.
1976
On an inequality of Bombieri. Zbl 0174.12401
Peaslee, D. C.; Coppel, W. A.
1969
On the uniqueness of limit cycles. Zbl 0128.31402
Coppel, W. A.
1964
Perturbation of periodic solutions: The degenerate case. Zbl 0131.08702
Coppel, W. A.
1963
Number theory. An introduction to mathematics. 2nd ed. Zbl 1195.11001
Coppel, W. A.
2009
Number theory. An introduction to mathematics. Part A. Revised printing of the 2002 edition. Zbl 1145.11001
Coppel, William A.
2006
Number theory: an introduction to mathematics. Part A. Zbl 0997.11001
Coppel, W. A.
2002
Foundations of convex geometry. Zbl 0901.52001
Coppel, W. A.
1998
A theory of polytopes. Zbl 0838.52014
Coppel, W. A.
1995
The period function of a Hamiltonian quadratic system. Zbl 0780.34023
Coppel, W. A.; Gavrilov, L.
1993
Axioms for convexity. Zbl 0781.52001
Coppel, W. A.
1993
Dynamics in one dimension. Zbl 0746.58007
Block, Louis Stuart; Coppel, William Andrew
1992
A new class of quadratic systems. Zbl 0733.58037
Coppel, W. A.
1991
Some quadratic systems with at most one limit cycle. Zbl 0674.34026
Coppel, W. A.
1989
Quadratic systems with a degenerate critical point. Zbl 0634.34013
Coppel, W. A.
1988
Stratification of continuous maps of an interval. Zbl 0606.54032
Block, L. S.; Coppel, W. A.
1986
A simple class of quadratic systems. Zbl 0603.34023
Coppel, W. A.
1986
Strong system equivalence. I. Zbl 0594.93015
Anderson, B. D. O.; Coppel, W. A.; Cullen, D. J.
1985
Strong system equivalence. II. Zbl 0594.93016
Coppel, W. A.; Cullen, D. J.
1985
Dichotomies and Lyapunov functions. Zbl 0488.34042
Coppel, W. A.
1984
Sarkovskii-minimal orbits. Zbl 0521.58044
Coppel, W. A.
1983
An interesting Cantor set. Zbl 0588.28001
Coppel, W. A.
1983
A new type of matrix quadratic equation. Zbl 0517.15013
Coppel, W. A.
1983
Dichotomies in stability theory. Zbl 0376.34001
Coppel, W. A.
1978
Pseudo-autonomous linear systems. Zbl 0328.34007
Coppel, W. A.
1977
Mathematics from control theory. Zbl 0337.49008
Coppel, W. A.
1976
Coppel, W. A.
1975
Coppel, W. A.
1974
Matrices of rational functions. Zbl 0281.15019
Coppel, W. A.
1974
Linear systems. Zbl 0299.93001
Coppel, W. A.
1972
Disconjugacy. Zbl 0224.34003
Coppel, W. A.
1971
Averaging and integral manifolds. Zbl 0186.15705
Coppel, W. A.; Palmer, K. J.
1970
Singular perturbations of initial value problems over a finite interval. Zbl 0175.38401
Chang, K. W.; Coppel, W. A.
1969
On an inequality of Bombieri. Zbl 0174.12401
Peaslee, D. C.; Coppel, W. A.
1969
Dichotomies and reducibility. II. Zbl 0203.39806
Coppel, W. A.
1968
Dichotomies and reducibility. Zbl 0162.39104
Coppel, W. A.
1967
Almost periodic properties of ordinary differential equations. Zbl 0153.12301
Coppel, W. A.
1967
Dynamical instability of linear canonical systems. Zbl 0146.32501
Coppel, W. A.; Howe, A.
1967
A survey of quadratic systems. Zbl 0143.11903
Coppel, W. A.
1966
On the stability of linear canonical systems with periodic coefficients. Zbl 0168.33904
Coppel, W. A.; Howe, A.
1966
Stability and asymptotic behavior of differential equations. Zbl 0154.09301
Coppel, W. A.
1965
Comparison theorems for canonical systems of differential equations. Zbl 0137.27902
Coppel, W. A.
1965
On the stability of ordinary differential equations. Zbl 0128.08205
Coppel, W. A.
1964
On the uniqueness of limit cycles. Zbl 0128.31402
Coppel, W. A.
1964
Perturbation of periodic solutions: The degenerate case. Zbl 0131.08702
Coppel, W. A.
1963
Note on an equation of boundary-layer theory. Zbl 0104.20504
Coppel, W. A.
1961
On a differential equation of boundary-layer theory. Zbl 0093.19105
Coppel, W. A.
1960
On the equation of a synchronous motor. Zbl 0085.18002
Coppel, W. A.
1959
The solution of equations by iteration. Zbl 0064.12303
Coppel, W. A.
1955
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#### 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
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#### 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
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#### 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)