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Filippov, Alexey F.

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Author ID: filippov.alexey-f Recent zbMATH articles by "Filippov, Alexey F."
Published as: Filippov, A.; Filippov, A. F.; Filippov, Alexey F.; Filippow, A. F.
External Links: MGP · Math-Net.Ru · Wikidata
Documents Indexed: 94 Publications since 1948, including 9 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

42 Publications have been cited 1,822 times in 1,679 Documents Cited by Year
Differential equations with discontinuous right-hand sides. Ed. by F. M. Arscott. Transl. from the Russian. Zbl 0664.34001
Filippov, A. F.
677
1988
Differential equations with discontinuous right-hand side. Zbl 0138.32204
Filippov, A. F.
279
1960
Differential equations with discontinuous right-hand side. (Differentsial’nye uravneniya s razryvnoj pravoj chast’yu). Zbl 0571.34001
Filippov, A. F.
213
1985
Differential equations with discontinnuous right-hand side. Zbl 0148.33002
Filippov, A. F.
198
1964
On certain questions in the theory of optimal control. Zbl 0139.05102
Filippov, A. F.
131
1962
Classical solutions of differential equations with multivalued right hand side. Zbl 0238.34010
Filippov, A. F.
61
1967
Differential inclusions and optimal control. Zbl 0595.49026
Blagodatskikh, V. I.; Filippov, A. F.
60
1985
On the distribution of the sizes of particles which undergo splitting. Zbl 0242.60050
Filippov, A. F.
28
1962
Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002
Arnol’d, V. I.; Vishik, M. I.; Il’yashenko, Yu. S.; Kalashnikov, A. S.; Kondrat’ev, V. A.; Kruzhkov, S. N.; Landis, E. M.; Millionshchikov, V. M.; Oleĭnik, O. A.; Filippov, A. F.; Shubin, M. A.
26
1989
Differential equations with discontinuous right-hand sides, and differential inclusions. Zbl 1098.34006
Filippov, A. F.
24
2003
Differential inclusions and optimal control. Zbl 0608.49027
Blagodatskikh, V. I.; Filippov, A. F.
24
1986
The existence of solutions of generalized differential equations. Zbl 0265.34074
Filippov, A. F.
13
1972
Differential equations with many-valued discontinuous right-hand side. Zbl 0141.27704
Filippov, A. F.
11
1963
A three-dimensional problem of diffraction of an elastic wave at a sharp edge. Zbl 0090.17001
Filippov, A. F.
11
1959
Über die Stabilität von Differenzengleichungen. Zbl 0094.11306
Rjabenki, V. S.; Filippow, A. F.
10
1960
Stability conditions in homogeneous systems with arbitrary regime switching. Zbl 0484.93059
Filippov, A. F.
5
1980
Stability for the differential equations with discontinuous and multivalued right-hand side. Zbl 0432.34032
Filippov, A. F.
5
1979
Diffraction of an arbitrary acoustic wave by a wedge. Zbl 0139.45301
Filippov, A. F.
5
1964
Über die Differenzenmethode zur Lösung des Problems von Tricomi. Zbl 0079.12001
Filippov, A. F.
4
1957
On perturbations of linear systems with quasiperiodic coefficients. Zbl 0712.34068
Filippov, A. F.
3
1990
A short proof of the theorem on reduction of a matrix to Jordan form. Zbl 0221.15011
Filippov, A. F.
3
1971
Nonlinear analysis and nonlinear differential equations. Zbl 1016.00019
Trenogin, V. A. (ed.); Filippov, A. (ed.)
2
2003
On the approximate computation of solutions of ordinary differential equations with discontinuous right-hand sides. Zbl 1031.65083
Filippov, A. F.
2
2001
Ellipsoidal estimates for a solution of a system of differential equations. Zbl 0829.65110
Filippov, A. F.
2
1992
Differential equations with second members discontinuous on intersecting surfaces. Zbl 0451.34005
Filippov, A. F.
2
1980
Analysis of a system of differential equations with two crossed lines of discontinuity. Zbl 0437.34042
Filippov, A. F.
2
1979
On the existence conditions for the solutions of multivalued differential equations. Zbl 0364.49014
Filippov, A. F.
2
1977
Über die Existenz von Lösungen mehrdeutiger Differentialgleichungen. Zbl 0254.34004
Filippov, A. F.
2
1971
Reflection of a wave from a boundary composed of arcs of variable curvature. Zbl 0231.76041
Filippov, A. F.
2
1970
The nature of the spectrum of a selfadjoint extension of the Laplace operator in a bounded region (fundamental systems of functions with an arbitrary preassigned subsequence of fundamental numbers). Zbl 0209.41302
Il’in, V. A.; Filippov, A. F.
2
1970
Conditions for the existence of a solution for a quasilinear parabolic equation. Zbl 0121.08004
Filippov, A. F.
2
1961
Determination of characteristic exponents of linear systems with quasiperiodic coefficients. Zbl 0718.34073
Filippov, A. F.
1
1988
Determination of characteristic exponents of linear systems with quasiperiodic coefficients. Zbl 0662.34008
Filippov, A. F.
1
1988
A collection of problems on differential equations. Textbook. (Sbornik zadach po differentsial’nym uravneniyam). 6th ed. Zbl 0605.34001
Filippov, A. F.
1
1985
Investigation of a system of differential equations with two intersecting discontinuity lines. Zbl 0504.34023
Filippov, A. F.
1
1979
Stability for differential equations with discontinuous and many-valued second members. Zbl 0466.34028
Filippov, A. F.
1
1979
Conditions for the existence of solutions of many-valued differential equations. Zbl 0395.49030
Filippov, A. F.
1
1977
The integral representations of solutions of the two-dimensional wave equation and diffractional problems. Zbl 0368.35041
Filippov, A. F.
1
1977
Smoothness of generalized solutions close to vertices of polyhedral angles. Zbl 0306.35040
Filippov, A. F.
1
1975
The uniqueness of generalized solutions. Zbl 0183.11004
Filippov, A. F.
1
1969
Über einige Fragen der Theorie der optimalen Regelung. Zbl 0090.06902
Filippov, A. F.
1
1959
Eine hinreichende Bedingung für die Existenz eines stabilen Grenzzyklus für eine Gleichung zweiter Ordnung. Zbl 0046.31705
Filippov, A. F.
1
1952
Differential equations with discontinuous right-hand sides, and differential inclusions. Zbl 1098.34006
Filippov, A. F.
24
2003
Nonlinear analysis and nonlinear differential equations. Zbl 1016.00019
Trenogin, V. A. (ed.); Filippov, A. (ed.)
2
2003
On the approximate computation of solutions of ordinary differential equations with discontinuous right-hand sides. Zbl 1031.65083
Filippov, A. F.
2
2001
Ellipsoidal estimates for a solution of a system of differential equations. Zbl 0829.65110
Filippov, A. F.
2
1992
On perturbations of linear systems with quasiperiodic coefficients. Zbl 0712.34068
Filippov, A. F.
3
1990
Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002
Arnol’d, V. I.; Vishik, M. I.; Il’yashenko, Yu. S.; Kalashnikov, A. S.; Kondrat’ev, V. A.; Kruzhkov, S. N.; Landis, E. M.; Millionshchikov, V. M.; Oleĭnik, O. A.; Filippov, A. F.; Shubin, M. A.
26
1989
Differential equations with discontinuous right-hand sides. Ed. by F. M. Arscott. Transl. from the Russian. Zbl 0664.34001
Filippov, A. F.
677
1988
Determination of characteristic exponents of linear systems with quasiperiodic coefficients. Zbl 0718.34073
Filippov, A. F.
1
1988
Determination of characteristic exponents of linear systems with quasiperiodic coefficients. Zbl 0662.34008
Filippov, A. F.
1
1988
Differential inclusions and optimal control. Zbl 0608.49027
Blagodatskikh, V. I.; Filippov, A. F.
24
1986
Differential equations with discontinuous right-hand side. (Differentsial’nye uravneniya s razryvnoj pravoj chast’yu). Zbl 0571.34001
Filippov, A. F.
213
1985
Differential inclusions and optimal control. Zbl 0595.49026
Blagodatskikh, V. I.; Filippov, A. F.
60
1985
A collection of problems on differential equations. Textbook. (Sbornik zadach po differentsial’nym uravneniyam). 6th ed. Zbl 0605.34001
Filippov, A. F.
1
1985
Stability conditions in homogeneous systems with arbitrary regime switching. Zbl 0484.93059
Filippov, A. F.
5
1980
Differential equations with second members discontinuous on intersecting surfaces. Zbl 0451.34005
Filippov, A. F.
2
1980
Stability for the differential equations with discontinuous and multivalued right-hand side. Zbl 0432.34032
Filippov, A. F.
5
1979
Analysis of a system of differential equations with two crossed lines of discontinuity. Zbl 0437.34042
Filippov, A. F.
2
1979
Investigation of a system of differential equations with two intersecting discontinuity lines. Zbl 0504.34023
Filippov, A. F.
1
1979
Stability for differential equations with discontinuous and many-valued second members. Zbl 0466.34028
Filippov, A. F.
1
1979
On the existence conditions for the solutions of multivalued differential equations. Zbl 0364.49014
Filippov, A. F.
2
1977
Conditions for the existence of solutions of many-valued differential equations. Zbl 0395.49030
Filippov, A. F.
1
1977
The integral representations of solutions of the two-dimensional wave equation and diffractional problems. Zbl 0368.35041
Filippov, A. F.
1
1977
Smoothness of generalized solutions close to vertices of polyhedral angles. Zbl 0306.35040
Filippov, A. F.
1
1975
The existence of solutions of generalized differential equations. Zbl 0265.34074
Filippov, A. F.
13
1972
A short proof of the theorem on reduction of a matrix to Jordan form. Zbl 0221.15011
Filippov, A. F.
3
1971
Über die Existenz von Lösungen mehrdeutiger Differentialgleichungen. Zbl 0254.34004
Filippov, A. F.
2
1971
Reflection of a wave from a boundary composed of arcs of variable curvature. Zbl 0231.76041
Filippov, A. F.
2
1970
The nature of the spectrum of a selfadjoint extension of the Laplace operator in a bounded region (fundamental systems of functions with an arbitrary preassigned subsequence of fundamental numbers). Zbl 0209.41302
Il’in, V. A.; Filippov, A. F.
2
1970
The uniqueness of generalized solutions. Zbl 0183.11004
Filippov, A. F.
1
1969
Classical solutions of differential equations with multivalued right hand side. Zbl 0238.34010
Filippov, A. F.
61
1967
Differential equations with discontinnuous right-hand side. Zbl 0148.33002
Filippov, A. F.
198
1964
Diffraction of an arbitrary acoustic wave by a wedge. Zbl 0139.45301
Filippov, A. F.
5
1964
Differential equations with many-valued discontinuous right-hand side. Zbl 0141.27704
Filippov, A. F.
11
1963
On certain questions in the theory of optimal control. Zbl 0139.05102
Filippov, A. F.
131
1962
On the distribution of the sizes of particles which undergo splitting. Zbl 0242.60050
Filippov, A. F.
28
1962
Conditions for the existence of a solution for a quasilinear parabolic equation. Zbl 0121.08004
Filippov, A. F.
2
1961
Differential equations with discontinuous right-hand side. Zbl 0138.32204
Filippov, A. F.
279
1960
Über die Stabilität von Differenzengleichungen. Zbl 0094.11306
Rjabenki, V. S.; Filippow, A. F.
10
1960
A three-dimensional problem of diffraction of an elastic wave at a sharp edge. Zbl 0090.17001
Filippov, A. F.
11
1959
Über einige Fragen der Theorie der optimalen Regelung. Zbl 0090.06902
Filippov, A. F.
1
1959
Über die Differenzenmethode zur Lösung des Problems von Tricomi. Zbl 0079.12001
Filippov, A. F.
4
1957
Eine hinreichende Bedingung für die Existenz eines stabilen Grenzzyklus für eine Gleichung zweiter Ordnung. Zbl 0046.31705
Filippov, A. F.
1
1952
all top 5

Cited by 2,140 Authors

42 Huang, Lihong
25 Cao, Jinde
19 Fridman, Leonid M.
18 Cai, Zuowei
16 Danca, Marius-Florin
16 Luo, Albert C. J.
15 Levant, Arie
15 Oliveira, Tiago Roux
14 Dieci, Luca
13 Hsu, Liu
13 Kurzhanskiĭ, Aleksandr Borisovich
12 Guo, Zhenyuan
11 Bressan, Alberto
11 Han, Maoan
11 Teel, Andrew Richard
11 Teixeira, Marco Antonio
10 Finogenko, Ivan Anatol’evich
10 Poznyak, Aleksandr Semënovich
9 Akhmet, Marat Ubaydulla
9 Azhmyakov, Vadim
9 Bartolini, Giorgio
9 Guglielmi, Nicola
9 Guseinov, Khalik G.
9 Kuznetsov, Nikolay Vladimirovich
9 Lopez, Luciano
9 Papageorgiou, Nikolaos S.
9 Peixoto, Alessandro Jacoud
9 Polyakov, Andrey
9 Wang, Zengyun
8 di Bernardo, Mario
8 Filatov, Oleg P.
8 Křivan, Vlastimil
8 Stewart, David Edward
8 Wang, Dongshu
8 Zeng, Zhigang
8 Zhang, Guodong
8 Zhang, Xiang
8 Zolezzi, Tullio
7 Basin, Michael V.
7 Ceragioli, Francesca
7 Cernea, Aurelian
7 Colombo, Rinaldo M.
7 Efimov, Denis V.
7 Fiedler, Bernold
7 Filippova, Tat’yana Fëdorovna
7 Fursov, A. S.
7 Krasovskiĭ, Nikolaĭ Nikolaevich
7 Leonov, Gennadiĭ Alekseevich
7 Llibre, Jaume
7 Margaliot, Michael
7 Perruquetti, Wilfrid
6 Chen, Guanrong
6 Duan, Lian
6 Galperin, Efim A.
6 Gusyatnikov, P. B.
6 Haddad, Wassim Michael
6 Jacquemard, Alain
6 Jeffrey, Mike R.
6 Klimov, Vladimir Stepanovich
6 Liu, Xiaoyang
6 Matveev, Alexey S.
6 Matyukhin, V. I.
6 Moreno, Jaime A.
6 Rocha, Carlos
6 Sepehri, Nariman
6 Shtessel, Yuri B.
6 Vauchelet, Nicolas
6 Wu, Huaiqin
5 Al’brekht, Èrnst Genrikhovich
5 Bacciotti, Andrea
5 Chen, Hebai
5 Colombo, Alessandro G.
5 Da Silva, Paulo Ricardo
5 Fan, Haitao
5 Fradkov, Aleksandr L’vovich
5 Heemels, W. P. Maurice H.
5 Hermes, Henry
5 Huang, Nan-Jing
5 Huang, Tingwen
5 Hui, Qing
5 Lagoutière, Frédéric
5 Leine, Remco I.
5 Liberzon, Daniel
5 Livne, Miki
5 Lu, Wenlian
5 Machina, Anna
5 Mu, Xiaowu
5 Nersesov, Sergey G.
5 Nijmeijer, Henk
5 Savkin, Andrey V.
5 Shen, Yi
5 Simpson, David John Warwick
5 Sira-Ramírez, Hebertt J.
5 Subbotin, Andreĭ Izmaĭlovich
5 Tonkov, Evgenii Leonidovich
5 Ushakov, Vladimir Nikolaevich
5 Wang, Jiafu
5 Wang, Jun
5 Wang, Leimin
5 Wu, Qiong
...and 2,040 more Authors
all top 5

Cited in 273 Serials

130 Automatica
66 Journal of Mathematical Analysis and Applications
64 Journal of Differential Equations
59 Journal of Applied Mathematics and Mechanics
56 Systems & Control Letters
53 Differential Equations
47 Journal of the Franklin Institute
45 Neural Networks
42 Journal of Optimization Theory and Applications
40 Nonlinear Dynamics
36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
30 Automation and Remote Control
26 Journal of Mathematical Sciences (New York)
25 Proceedings of the Steklov Institute of Mathematics
23 Chaos, Solitons and Fractals
22 Nonlinear Analysis. Hybrid Systems
21 Mathematical Notes
21 Applied Mathematics and Computation
20 International Journal of Control
20 Nonlinear Analysis. Theory, Methods & Applications
19 Physica D
19 International Journal of Robust and Nonlinear Control
19 Nonlinear Analysis. Real World Applications
16 Ukrainian Mathematical Journal
16 Siberian Mathematical Journal
16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
16 Communications in Nonlinear Science and Numerical Simulation
15 Prikladnaya Matematika i Mekhanika
14 Computers & Mathematics with Applications
14 Journal of Computational and Applied Mathematics
14 Discrete and Continuous Dynamical Systems. Series B
12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
11 Journal of Dynamics and Differential Equations
11 Mathematical Problems in Engineering
11 Abstract and Applied Analysis
11 Chaos
10 Transactions of the American Mathematical Society
10 Doklady Mathematics
9 Mathematics and Computers in Simulation
9 Numerische Mathematik
9 Computational Mathematics and Modeling
9 NoDEA. Nonlinear Differential Equations and Applications
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Russian Mathematics
8 Journal of Dynamical and Control Systems
7 Archive for Rational Mechanics and Analysis
7 SIAM Journal on Control and Optimization
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Mathematical and Computer Modelling
7 Bulletin des Sciences Mathématiques
7 Advances in Difference Equations
6 Journal of Mathematical Biology
6 Information Sciences
6 Proceedings of the American Mathematical Society
6 Applied Mathematical Modelling
6 Journal of Computer and Systems Sciences International
6 Set-Valued and Variational Analysis
6 Asian Journal of Control
5 Computing
5 Fuzzy Sets and Systems
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Theoretical Population Biology
5 Stochastic Analysis and Applications
5 Acta Applicandae Mathematicae
5 The Annals of Applied Probability
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Stochastic Processes and their Applications
5 Cybernetics and Systems Analysis
5 Discrete and Continuous Dynamical Systems
5 Journal of Systems Science and Complexity
4 International Journal of Systems Science
4 Czechoslovak Mathematical Journal
4 Journal of Soviet Mathematics
4 Rendiconti del Seminario Matematico della Università di Padova
4 Circuits, Systems, and Signal Processing
4 Applied Mathematics Letters
4 MCSS. Mathematics of Control, Signals, and Systems
4 International Journal of Adaptive Control and Signal Processing
4 Dynamics and Control
4 Communications in Partial Differential Equations
4 Mathematical Programming. Series A. Series B
4 Journal of Nonlinear Science
4 Complexity
4 European Journal of Control
4 Qualitative Theory of Dynamical Systems
4 SIAM Journal on Applied Dynamical Systems
4 International Journal of Biomathematics
4 Journal of Theoretical Biology
3 Communications in Mathematical Physics
3 Computer Methods in Applied Mechanics and Engineering
3 Mathematical Biosciences
3 Mathematical Methods in the Applied Sciences
3 Physics Letters. A
3 Rocky Mountain Journal of Mathematics
3 Bulletin of Mathematical Biology
3 Soviet Applied Mechanics
3 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
3 The Annals of Probability
3 Applied Mathematics and Optimization
3 Journal of Computer and System Sciences
...and 173 more Serials
all top 5

Cited in 51 Fields

647 Systems theory; control (93-XX)
639 Ordinary differential equations (34-XX)
247 Calculus of variations and optimal control; optimization (49-XX)
162 Dynamical systems and ergodic theory (37-XX)
155 Biology and other natural sciences (92-XX)
129 Partial differential equations (35-XX)
113 Mechanics of particles and systems (70-XX)
91 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
87 Numerical analysis (65-XX)
61 Operator theory (47-XX)
57 Computer science (68-XX)
52 Operations research, mathematical programming (90-XX)
45 Probability theory and stochastic processes (60-XX)
33 Fluid mechanics (76-XX)
29 Mechanics of deformable solids (74-XX)
27 Information and communication theory, circuits (94-XX)
25 Real functions (26-XX)
24 General topology (54-XX)
18 Statistical mechanics, structure of matter (82-XX)
17 Integral equations (45-XX)
15 Global analysis, analysis on manifolds (58-XX)
14 Difference and functional equations (39-XX)
13 Functional analysis (46-XX)
8 Measure and integration (28-XX)
7 Combinatorics (05-XX)
6 Approximations and expansions (41-XX)
6 Optics, electromagnetic theory (78-XX)
5 Quantum theory (81-XX)
5 Geophysics (86-XX)
4 Algebraic geometry (14-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Differential geometry (53-XX)
4 Statistics (62-XX)
3 Mathematical logic and foundations (03-XX)
3 Number theory (11-XX)
3 Special functions (33-XX)
3 Convex and discrete geometry (52-XX)
3 Manifolds and cell complexes (57-XX)
2 History and biography (01-XX)
2 Functions of a complex variable (30-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year

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