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Lyapunov, Aleksandr Mikhaĭlovich

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Author ID: lyapunov.aleksandr-mikhailovich Recent zbMATH articles by "Lyapunov, Aleksandr Mikhaĭlovich"
Published as: Liapounoff, A.; Lyapunov, A. M.; Liapunov, A.; Liapunoff, A.; Liapunow, A. M.; Ljapunoff, A.; Liapunow, A.; Liapounoff, Alexander; Liapunoff, A. M.; Liapunov, A. M.; Lĭapunov, A. N.; Liapounov, A.
Further Spellings: Ляпунов Александр Михайлович
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 63 Publications since 1884, including 20 Books
3 Contributions as Editor · 1 Further Contribution
Biographic References: 30 Publications
Co-Authors: 13 Co-Authors with 7 Joint Publications
234 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

27 Publications have been cited 824 times in 803 Documents Cited by Year
The general problem of the stability of motion. (Общая задача об устойчивости движения.) Zbl 0041.32204
Lyapunov, A. M.
241
1950
The general problem of the stability of motion. With a biography of Lyapunov by V. I. Smirnov and a bibliography of Lyapunov’s works by J. F. Barrett. Transl. and ed. by A.T. Fuller. Zbl 0786.70001
Lyapunov, A. M.
223
1992
Problème général de la stabilité du mouvement. Traduit du russe par M. Edouard Davaux. JFM 38.0738.07
Liapounoff, A.
131
1907
Stability of motion. Zbl 0161.06303
Lyapunov, A. M.
105
1966
Collected works. Vol. II. (Собрание сочинений. Том II) (Gesammelte Werke. Band II.) Zbl 0192.31202
Lyapunov, A. M.
24
1956
Problème général de la stabilité du mouvement. Transl. from the Russian by E. Davaux. Zbl 0031.18403
Liapounoff, A.
18
1947
Sur certaines questions qui se rattachent au problème de Dirichlet. JFM 29.0723.02
Liapounoff, A.
11
1898
A study of one of the special cases of the problem of stability of motion. (Исследоование одного из особенных случаев об устойрев чивости двитения.) Zbl 0112.31801
Lyapunov, A. M.
10
1963
Sur une équation transcendante et les équations différentielles linéaires du second ordre à coefficients périodiques. JFM 30.0303.01
Liapounoff, A.
9
1899
Sur une série relative à la théorie des équations différentielles linéaires à coefficients périodiques. JFM 27.0252.03
Liapounoff, A.
9
1896
Lectures on theoretical mechanics. (Лекции по теоретической механике.) Zbl 0556.70002
Lyapunov, A. M.
5
1982
Sur une équation différentielle linéaire du second ordre. JFM 30.0302.02
Liapounoff, A.
5
1899
Collected works. Vol. IV. (Собрание сочинений. Том IV) (Gesammelte Werke. Band IV.) Zbl 0192.31204
Lyapunov, A. M.
4
1959
Sur une proposition de la théorie des probabilités. JFM 31.0228.02
Liapounoff, A.
4
1900
Sur l’instabilité de l’équilibre dans certains cas où la fonction de forces n’est pas un maximum. JFM 28.0630.01
Liapounoff, A.
4
1897
Sur un théorème du calcul des probabilités. JFM 32.0230.01
Liapounoff, A.
3
1901
Sur la séparabilité des ensembles analytiques. JFM 60.0040.05
Liapunov, A.
3
1934
Collected works. Vol. III. (Собрание сочинений. Том III) (Gesammelte Werke. Band III.) Zbl 0192.31203
Lyapunov, A. M.
2
1959
Collected works. Vol. V. (Собрание сочинений. Том V) (Gesammelte Werke. Band V.) Zbl 0192.31205
Lyapunov, A. M.
2
1965
Sur les figures d’équilibre peu différentes des ellipsoïdes d’une masse liquide homogène douée d’un mouvement de rotation. JFM 37.0718.13
Liapounoff, A.
2
1906
Sur la stabilité des figures ellipsoïdales d’équilibre d’un liquide animé d’un mouvement de rotation. Traduit du russe par M. Edouard Davaux. JFM 35.0709.03
Liapunoff, A.
2
1904
Sur une série dans la théorie des équations différentielles linéaires du second ordre à coefficients périodiques. JFM 34.0371.02
Liapounoff, A.
2
1903
Sur un problème de Tchébychef. JFM 37.0973.03
Liapounoff, A.
1
1905
Sur une série relative à la théorie d’une équation différentielle linéaire du second ordre. JFM 31.0350.01
Liapounoff, A.
1
1901
Sur le potentiel de la double couche. JFM 28.0698.02
Liapounoff, A.
1
1897
Ueber eine Frage der Theorie der linearen Differentialgleichungen zweiter Ordnung mit periodischen Coefficienten. JFM 28.0289.01
Liapunow, A. M.
1
1897
From Davidov to Romanovsky. More Russian papers on probability and statistics. Selected and translated by Oscar Sheynin. Microfiche edition. Zbl 0941.01034
1
1998
From Davidov to Romanovsky. More Russian papers on probability and statistics. Selected and translated by Oscar Sheynin. Microfiche edition. Zbl 0941.01034
1
1998
The general problem of the stability of motion. With a biography of Lyapunov by V. I. Smirnov and a bibliography of Lyapunov’s works by J. F. Barrett. Transl. and ed. by A.T. Fuller. Zbl 0786.70001
Lyapunov, A. M.
223
1992
Lectures on theoretical mechanics. (Лекции по теоретической механике.) Zbl 0556.70002
Lyapunov, A. M.
5
1982
Stability of motion. Zbl 0161.06303
Lyapunov, A. M.
105
1966
Collected works. Vol. V. (Собрание сочинений. Том V) (Gesammelte Werke. Band V.) Zbl 0192.31205
Lyapunov, A. M.
2
1965
A study of one of the special cases of the problem of stability of motion. (Исследоование одного из особенных случаев об устойрев чивости двитения.) Zbl 0112.31801
Lyapunov, A. M.
10
1963
Collected works. Vol. IV. (Собрание сочинений. Том IV) (Gesammelte Werke. Band IV.) Zbl 0192.31204
Lyapunov, A. M.
4
1959
Collected works. Vol. III. (Собрание сочинений. Том III) (Gesammelte Werke. Band III.) Zbl 0192.31203
Lyapunov, A. M.
2
1959
Collected works. Vol. II. (Собрание сочинений. Том II) (Gesammelte Werke. Band II.) Zbl 0192.31202
Lyapunov, A. M.
24
1956
The general problem of the stability of motion. (Общая задача об устойчивости движения.) Zbl 0041.32204
Lyapunov, A. M.
241
1950
Problème général de la stabilité du mouvement. Transl. from the Russian by E. Davaux. Zbl 0031.18403
Liapounoff, A.
18
1947
Sur la séparabilité des ensembles analytiques. JFM 60.0040.05
Liapunov, A.
3
1934
Problème général de la stabilité du mouvement. Traduit du russe par M. Edouard Davaux. JFM 38.0738.07
Liapounoff, A.
131
1907
Sur les figures d’équilibre peu différentes des ellipsoïdes d’une masse liquide homogène douée d’un mouvement de rotation. JFM 37.0718.13
Liapounoff, A.
2
1906
Sur un problème de Tchébychef. JFM 37.0973.03
Liapounoff, A.
1
1905
Sur la stabilité des figures ellipsoïdales d’équilibre d’un liquide animé d’un mouvement de rotation. Traduit du russe par M. Edouard Davaux. JFM 35.0709.03
Liapunoff, A.
2
1904
Sur une série dans la théorie des équations différentielles linéaires du second ordre à coefficients périodiques. JFM 34.0371.02
Liapounoff, A.
2
1903
Sur un théorème du calcul des probabilités. JFM 32.0230.01
Liapounoff, A.
3
1901
Sur une série relative à la théorie d’une équation différentielle linéaire du second ordre. JFM 31.0350.01
Liapounoff, A.
1
1901
Sur une proposition de la théorie des probabilités. JFM 31.0228.02
Liapounoff, A.
4
1900
Sur une équation transcendante et les équations différentielles linéaires du second ordre à coefficients périodiques. JFM 30.0303.01
Liapounoff, A.
9
1899
Sur une équation différentielle linéaire du second ordre. JFM 30.0302.02
Liapounoff, A.
5
1899
Sur certaines questions qui se rattachent au problème de Dirichlet. JFM 29.0723.02
Liapounoff, A.
11
1898
Sur l’instabilité de l’équilibre dans certains cas où la fonction de forces n’est pas un maximum. JFM 28.0630.01
Liapounoff, A.
4
1897
Sur le potentiel de la double couche. JFM 28.0698.02
Liapounoff, A.
1
1897
Ueber eine Frage der Theorie der linearen Differentialgleichungen zweiter Ordnung mit periodischen Coefficienten. JFM 28.0289.01
Liapunow, A. M.
1
1897
Sur une série relative à la théorie des équations différentielles linéaires à coefficients périodiques. JFM 27.0252.03
Liapounoff, A.
9
1896
all top 5

Cited by 1,042 Authors

23 Martynyuk, Anatoliĭ Andriĭovych
21 Valls Anglés, Cláudia
20 Barreira, Luis Manuel
13 Liao, Shijun
13 Lykova, Olga B.
12 Llibre, Jaume
8 Czornik, Adam
8 García, Isaac A.
8 Giné, Jaume
8 Kozlov, Valeriĭ Vasil’evich
8 Tunç, Cemil
7 Gasull, Armengol
6 Algaba, Antonio
6 Baris, Ya. S.
6 García, Cristóbal
6 Kazantzis, Nikolaos K.
6 Niezabitowski, Michał
6 Raković, Saša V.
5 Gubarev, Yu. G.
5 Kalenova, Vera I.
5 Morozov, Victor M.
5 Samet, Bessem
5 Tkhaĭ, Valentin Nikolaevich
5 Zafer, Ağacık
4 Aleksandrov, Aleksandr Yur’evich
4 Alvarez, María Jesus
4 Bardin, Boris Sabirovich
4 Darve, Félix
4 Elaiw, Ahmed M.
4 Grujić, Ljubomir T.
4 Hayat, Tasawar
4 Jleli, Mohamed Boussairi
4 Kirane, Mokhtar
4 Kravaris, Costas
4 Kurakin, Leonid Gennadievich
4 Leonov, Gennadiĭ Alekseevich
4 Medvedeva, Nataliya Borisovna
4 Millionshchikov, Vladimir Mikhaĭlovich
4 Ramírez, Rafael O.
4 Ramírez, Valentín
4 Sergeev, Igor’ Nikolaevich
4 Slyn’ko, Vitalii Ivanovich
4 Vargas-De-León, Cruz
4 Yoshinaga, Tetsuya
4 Zhuravlëv, Viktor Filippovich
3 Alshamrani, Noura H.
3 Antonovskaya, Olga Georgievna
3 Asheghan, Mohammad Mostafa
3 Baetens, Jan M.
3 De Baets, Bernard
3 Dragičević, Davor
3 Druzhinina, O. V.
3 Dumortier, Freddy
3 Dvirny, Aleksandr Ivanovich
3 Furta, Stanislav D.
3 Gatabazi, P.
3 Giacomini, Hector J.
3 Grigoryan, Gevorg Avagovich
3 Hafstein, Sigurður Freyr
3 Kalitin, Boris Sergeevich
3 Kalitine, B. S.
3 Kalyakin, Leonid Anatol’evich
3 Karapetyan, Aleksandr Vladilenovich
3 Khoroshun, A. S.
3 Korobeinikov, Andrei
3 Lăzureanu, Cristian
3 Lerman, Lev
3 Li, Feng
3 Liu, Yirong
3 Marsden, Jerrold Eldon
3 Mba, Jules Clement
3 Nakonechnyj, A. N.
3 Nawrat, Aleksander Michał
3 Pindza, Edson
3 Rumyantsev, Valentin Vital’evich
3 Salvadori, Luigi
3 Shestakov, Aleksandr Andreevich
3 Shield, Richard Thorpe
3 Slavova, Angela
3 Torebek, Berikbol Tillabayuly
3 Wiggins, Stephen
3 Xu, Hang
3 Yasinskij, V. K.
3 Yudovich, Viktor Iosifovich
3 Zhang, Fengqin
2 Abbasbandy, Saeid
2 Abdeljawad, Thabet
2 Ahmetoğlu, Abdullah
2 Aktaş, Mustafa Fahri
2 Al-Ola, Omar M. Abou
2 Alzabut, Jehad O.
2 Aminov, A. B.
2 Arahet, Mohammed A.
2 Ayhan, Timur
2 Babiarz, Artur
2 Bajić, Vladimir B.
2 Bakhankov, Alexander A.
2 Barabanov, E. A.
2 Belikov, Sergej A.
2 Belmaâti, Aziza
...and 942 more Authors
all top 5

Cited in 233 Serials

56 Journal of Applied Mathematics and Mechanics
34 Journal of Differential Equations
31 Journal of Mathematical Analysis and Applications
28 Ukrainian Mathematical Journal
19 Mathematical Notes
16 Soviet Applied Mechanics
16 Applied Mathematics and Computation
13 Automatica
12 Cybernetics and Systems Analysis
12 International Applied Mechanics
12 Journal of Mathematical Sciences (New York)
12 Nonlinear Dynamics
11 Prikladnaya Matematika i Mekhanika
11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
10 Mathematical Problems in Engineering
10 Differential Equations
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Communications in Nonlinear Science and Numerical Simulation
8 International Journal of Control
8 Journal of the Franklin Institute
8 Abstract and Applied Analysis
8 Journal of Inequalities and Applications
8 Chaos
7 Physics Letters. A
7 Chaos, Solitons and Fractals
7 Systems & Control Letters
7 Physica D
7 Automation and Remote Control
7 Vestnik St. Petersburg University. Mathematics
7 Nonlinear Analysis. Real World Applications
7 Discrete and Continuous Dynamical Systems. Series B
6 Proceedings of the American Mathematical Society
6 Doklady Mathematics
6 Proceedings of the Steklov Institute of Mathematics
6 Nonlinear Oscillations
6 Nonlinear Analysis. Theory, Methods & Applications
5 Acta Mechanica
5 Journal of Soviet Mathematics
5 Siberian Mathematical Journal
5 Transactions of the American Mathematical Society
5 Linear Algebra and its Applications
5 Regular and Chaotic Dynamics
4 Fluid Dynamics
4 International Journal for Numerical and Analytical Methods in Geomechanics
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Journal of Computational and Applied Mathematics
4 Celestial Mechanics and Dynamical Astronomy
4 Journal of Dynamics and Differential Equations
4 Russian Mathematics
4 Discrete Dynamics in Nature and Society
4 Doklady Physics
4 Qualitative Theory of Dynamical Systems
4 Journal of Applied Mathematics
4 Advances in Difference Equations
3 Computer Methods in Applied Mechanics and Engineering
3 International Journal of Systems Science
3 Theoretical and Mathematical Physics
3 Acta Mathematica
3 Journal of Functional Analysis
3 Mathematische Nachrichten
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 SIAM Journal on Control and Optimization
3 Applied Mathematics Letters
3 Computational Mathematics and Mathematical Physics
3 Applied Mathematical Modelling
3 Bulletin of the American Mathematical Society. New Series
3 International Journal of Robust and Nonlinear Control
3 Journal of Computer and Systems Sciences International
3 Bulletin des Sciences Mathématiques
3 Discrete and Continuous Dynamical Systems
3 Differential Equations and Dynamical Systems
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Acta Mathematica Sinica. English Series
3 Milan Journal of Mathematics
3 Journal of Function Spaces
2 Applicable Analysis
2 Archive for History of Exact Sciences
2 Computers & Mathematics with Applications
2 Computer Physics Communications
2 Communications on Pure and Applied Mathematics
2 International Journal of Theoretical Physics
2 Journal of Computational Physics
2 Journal of Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Physics Letters. B
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Archiv der Mathematik
2 Boletim da Sociedade Brasileira de Matemática
2 International Journal of Circuit Theory and Applications
2 Mathematische Annalen
2 Memoirs of the American Mathematical Society
2 Monatshefte für Mathematik
2 Proceedings of the Japan Academy. Series A
2 Quaestiones Mathematicae
2 Rendiconti del Seminario Matematico della Università di Padova
2 Theoretical Population Biology
2 SIAM Journal on Algebraic and Discrete Methods
2 Acta Applicandae Mathematicae
2 Mathematical and Computer Modelling
...and 133 more Serials
all top 5

Cited in 47 Fields

365 Ordinary differential equations (34-XX)
167 Dynamical systems and ergodic theory (37-XX)
134 Mechanics of particles and systems (70-XX)
120 Systems theory; control (93-XX)
58 Partial differential equations (35-XX)
44 Numerical analysis (65-XX)
44 Biology and other natural sciences (92-XX)
40 Fluid mechanics (76-XX)
25 Mechanics of deformable solids (74-XX)
22 Operator theory (47-XX)
21 Real functions (26-XX)
19 Probability theory and stochastic processes (60-XX)
18 Difference and functional equations (39-XX)
13 Operations research, mathematical programming (90-XX)
12 Global analysis, analysis on manifolds (58-XX)
12 Computer science (68-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 History and biography (01-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Integral equations (45-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Relativity and gravitational theory (83-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Information and communication theory, circuits (94-XX)
5 Differential geometry (53-XX)
5 Optics, electromagnetic theory (78-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Astronomy and astrophysics (85-XX)
3 Mathematical logic and foundations (03-XX)
3 Combinatorics (05-XX)
3 Special functions (33-XX)
3 Geophysics (86-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral transforms, operational calculus (44-XX)
2 Convex and discrete geometry (52-XX)
2 General topology (54-XX)
2 Manifolds and cell complexes (57-XX)
2 Statistics (62-XX)
2 Quantum theory (81-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Algebraic topology (55-XX)

Citations by Year

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