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Coppel, William Andrew

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Author ID: coppel.william-andrew Recent zbMATH articles by "Coppel, William Andrew"
Published as: Coppel, W. A.; Coppel, William A.; Coppel, William Andrew
Documents Indexed: 58 Publications since 1955, including 13 Books

Publications by Year

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.
641
1965
Dichotomies in stability theory. Zbl 0376.34001
Coppel, W. A.
548
1978
Dynamics in one dimension. Zbl 0746.58007
Block, Louis Stuart; Coppel, William Andrew
340
1992
Disconjugacy. Zbl 0224.34003
Coppel, W. A.
225
1971
A survey of quadratic systems. Zbl 0143.11903
Coppel, W. A.
108
1966
Dichotomies and reducibility. Zbl 0162.39104
Coppel, W. A.
83
1967
On a differential equation of boundary-layer theory. Zbl 0093.19105
Coppel, W. A.
59
1960
Matrix quadratic equations. Zbl 0276.15019
Coppel, W. A.
50
1974
Some quadratic systems with at most one limit cycle. Zbl 0674.34026
Coppel, W. A.
33
1989
The period function of a Hamiltonian quadratic system. Zbl 0780.34023
Coppel, W. A.; Gavrilov, L.
27
1993
The solution of equations by iteration. Zbl 0064.12303
Coppel, W. A.
24
1955
A new class of quadratic systems. Zbl 0733.58037
Coppel, W. A.
23
1991
Almost periodic properties of ordinary differential equations. Zbl 0153.12301
Coppel, W. A.
22
1967
Foundations of convex geometry. Zbl 0901.52001
Coppel, W. A.
19
1998
Singular perturbations of initial value problems over a finite interval. Zbl 0175.38401
Chang, K. W.; Coppel, W. A.
16
1969
Stratification of continuous maps of an interval. Zbl 0606.54032
Block, L. S.; Coppel, W. A.
15
1986
On the stability of ordinary differential equations. Zbl 0128.08205
Coppel, W. A.
15
1964
Matrices of rational functions. Zbl 0281.15019
Coppel, W. A.
14
1974
On the stability of linear canonical systems with periodic coefficients. Zbl 0168.33904
Coppel, W. A.; Howe, A.
13
1966
Strong system equivalence. I. Zbl 0594.93015
Anderson, B. D. O.; Coppel, W. A.; Cullen, D. J.
12
1985
Linear systems. Zbl 0299.93001
Coppel, W. A.
12
1972
Quadratic systems with a degenerate critical point. Zbl 0634.34013
Coppel, W. A.
11
1988
Linear-quadratic optimal control. Zbl 0335.49008
Coppel, W. A.
11
1975
Dichotomies and reducibility. II. Zbl 0203.39806
Coppel, W. A.
11
1968
Dichotomies and Lyapunov functions. Zbl 0488.34042
Coppel, W. A.
9
1984
Strong system equivalence. II. Zbl 0594.93016
Coppel, W. A.; Cullen, D. J.
8
1985
Sarkovskii-minimal orbits. Zbl 0521.58044
Coppel, W. A.
8
1983
Pseudo-autonomous linear systems. Zbl 0328.34007
Coppel, W. A.
8
1977
Averaging and integral manifolds. Zbl 0186.15705
Coppel, W. A.; Palmer, K. J.
8
1970
Comparison theorems for canonical systems of differential equations. Zbl 0137.27902
Coppel, W. A.
8
1965
A simple class of quadratic systems. Zbl 0603.34023
Coppel, W. A.
6
1986
An interesting Cantor set. Zbl 0588.28001
Coppel, W. A.
6
1983
A theory of polytopes. Zbl 0838.52014
Coppel, W. A.
4
1995
Axioms for convexity. Zbl 0781.52001
Coppel, W. A.
4
1993
Note on an equation of boundary-layer theory. Zbl 0104.20504
Coppel, W. A.
3
1961
On the equation of a synchronous motor. Zbl 0085.18002
Coppel, W. A.
3
1959
Number theory. An introduction to mathematics. 2nd ed. Zbl 1195.11001
Coppel, W. A.
2
2009
Dynamical instability of linear canonical systems. Zbl 0146.32501
Coppel, W. A.; Howe, A.
2
1967
Number theory. An introduction to mathematics. Part A. Revised printing of the 2002 edition. Zbl 1145.11001
Coppel, William A.
1
2006
Number theory: an introduction to mathematics. Part A. Zbl 0997.11001
Coppel, W. A.
1
2002
A new type of matrix quadratic equation. Zbl 0517.15013
Coppel, W. A.
1
1983
Mathematics from control theory. Zbl 0337.49008
Coppel, W. A.
1
1976
On an inequality of Bombieri. Zbl 0174.12401
Peaslee, D. C.; Coppel, W. A.
1
1969
On the uniqueness of limit cycles. Zbl 0128.31402
Coppel, W. A.
1
1964
Perturbation of periodic solutions: The degenerate case. Zbl 0131.08702
Coppel, W. A.
1
1963
Number theory. An introduction to mathematics. 2nd ed. Zbl 1195.11001
Coppel, W. A.
2
2009
Number theory. An introduction to mathematics. Part A. Revised printing of the 2002 edition. Zbl 1145.11001
Coppel, William A.
1
2006
Number theory: an introduction to mathematics. Part A. Zbl 0997.11001
Coppel, W. A.
1
2002
Foundations of convex geometry. Zbl 0901.52001
Coppel, W. A.
19
1998
A theory of polytopes. Zbl 0838.52014
Coppel, W. A.
4
1995
The period function of a Hamiltonian quadratic system. Zbl 0780.34023
Coppel, W. A.; Gavrilov, L.
27
1993
Axioms for convexity. Zbl 0781.52001
Coppel, W. A.
4
1993
Dynamics in one dimension. Zbl 0746.58007
Block, Louis Stuart; Coppel, William Andrew
340
1992
A new class of quadratic systems. Zbl 0733.58037
Coppel, W. A.
23
1991
Some quadratic systems with at most one limit cycle. Zbl 0674.34026
Coppel, W. A.
33
1989
Quadratic systems with a degenerate critical point. Zbl 0634.34013
Coppel, W. A.
11
1988
Stratification of continuous maps of an interval. Zbl 0606.54032
Block, L. S.; Coppel, W. A.
15
1986
A simple class of quadratic systems. Zbl 0603.34023
Coppel, W. A.
6
1986
Strong system equivalence. I. Zbl 0594.93015
Anderson, B. D. O.; Coppel, W. A.; Cullen, D. J.
12
1985
Strong system equivalence. II. Zbl 0594.93016
Coppel, W. A.; Cullen, D. J.
8
1985
Dichotomies and Lyapunov functions. Zbl 0488.34042
Coppel, W. A.
9
1984
Sarkovskii-minimal orbits. Zbl 0521.58044
Coppel, W. A.
8
1983
An interesting Cantor set. Zbl 0588.28001
Coppel, W. A.
6
1983
A new type of matrix quadratic equation. Zbl 0517.15013
Coppel, W. A.
1
1983
Dichotomies in stability theory. Zbl 0376.34001
Coppel, W. A.
548
1978
Pseudo-autonomous linear systems. Zbl 0328.34007
Coppel, W. A.
8
1977
Mathematics from control theory. Zbl 0337.49008
Coppel, W. A.
1
1976
Linear-quadratic optimal control. Zbl 0335.49008
Coppel, W. A.
11
1975
Matrix quadratic equations. Zbl 0276.15019
Coppel, W. A.
50
1974
Matrices of rational functions. Zbl 0281.15019
Coppel, W. A.
14
1974
Linear systems. Zbl 0299.93001
Coppel, W. A.
12
1972
Disconjugacy. Zbl 0224.34003
Coppel, W. A.
225
1971
Averaging and integral manifolds. Zbl 0186.15705
Coppel, W. A.; Palmer, K. J.
8
1970
Singular perturbations of initial value problems over a finite interval. Zbl 0175.38401
Chang, K. W.; Coppel, W. A.
16
1969
On an inequality of Bombieri. Zbl 0174.12401
Peaslee, D. C.; Coppel, W. A.
1
1969
Dichotomies and reducibility. II. Zbl 0203.39806
Coppel, W. A.
11
1968
Dichotomies and reducibility. Zbl 0162.39104
Coppel, W. A.
83
1967
Almost periodic properties of ordinary differential equations. Zbl 0153.12301
Coppel, W. A.
22
1967
Dynamical instability of linear canonical systems. Zbl 0146.32501
Coppel, W. A.; Howe, A.
2
1967
A survey of quadratic systems. Zbl 0143.11903
Coppel, W. A.
108
1966
On the stability of linear canonical systems with periodic coefficients. Zbl 0168.33904
Coppel, W. A.; Howe, A.
13
1966
Stability and asymptotic behavior of differential equations. Zbl 0154.09301
Coppel, W. A.
641
1965
Comparison theorems for canonical systems of differential equations. Zbl 0137.27902
Coppel, W. A.
8
1965
On the stability of ordinary differential equations. Zbl 0128.08205
Coppel, W. A.
15
1964
On the uniqueness of limit cycles. Zbl 0128.31402
Coppel, W. A.
1
1964
Perturbation of periodic solutions: The degenerate case. Zbl 0131.08702
Coppel, W. A.
1
1963
Note on an equation of boundary-layer theory. Zbl 0104.20504
Coppel, W. A.
3
1961
On a differential equation of boundary-layer theory. Zbl 0093.19105
Coppel, W. A.
59
1960
On the equation of a synchronous motor. Zbl 0085.18002
Coppel, W. A.
3
1959
The solution of equations by iteration. Zbl 0064.12303
Coppel, W. A.
24
1955
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