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Petrov, Nikolai Nikolaevich

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Author ID: petrov.nikolai-nikolaevich Recent zbMATH articles by "Petrov, Nikolai Nikolaevich"
Published as: Petrov, N. N.; Petrov, Nikolai N.; Petrov, Nikolay; Petrov, Nikolay N.; Petrov, Nikolaĭ Nikolaevich
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Documents Indexed: 123 Publications since 1962, including 1 Book

Publications by Year

Citations contained in zbMATH Open

68 Publications have been cited 231 times in 123 Documents Cited by Year
On the controllability of autonomous systems. Zbl 0174.40302
Petrov, N. N.
36
1968
The curvature tensor and the Einstein equations for a four-dimensional nonholonomic distribution. Zbl 1253.53045
Krym, V. R.; Petrov, N. N.
20
2008
On the Bellman function for the time-optimal process problem. Zbl 0253.49012
Petrov, N. N.
18
1970
Equations of motion of a charged particle in a five-dimensional model of the general theory of relativity with a nonholonomic four-dimensional velocity space. Zbl 1145.83314
Krym, V. R.; Petrov, N. N.
14
2007
On the differential game ”Casacks-robbers”. Zbl 0521.90109
Petrov, N. N.; Petrov, N. Nikandr.
11
1983
Pursuit-evasion and search problems on graphs. Zbl 0897.05079
Fomin, F. V.; Petrov, N. N.
10
1996
On a problem of pursuit of a group of evaders. Zbl 0677.90103
Petrov, N. N.; Prokopenko, V. A.
7
1987
About the continuity of the solutions of differential equations in a parameter. Zbl 0151.12403
Petrov, N. N.
6
1964
Search problems on 1-skeletons of regular polyhedrons. Zbl 0904.90091
Fomin, F. V.; Golovach, P. A.; Petrov, N. N.
5
1997
Some generalizations of the problem on the search number of a graph. Zbl 0883.90149
Golovach, P. A.; Petrov, N. N.
5
1995
On the existence of a pursuit game value. Zbl 0205.16204
Petrov, N. N.
5
1970
Lyapunov-Razumikhin method for existence of almost periodic solutions of impulsive differential-difference equations. Zbl 1156.34057
Stamov, Gani Tr.; Petrov, Nikolay
4
2008
Some extremal search problems on graphs. Zbl 0495.90097
Petrov, N. N.
4
1982
On some problems of guaranteed search on graphs. Zbl 1253.05103
Abramovskaya, T. V.; Petrov, N. N.
3
2010
Search in graphs. Zbl 1118.91305
Golovach, P. A.; Petrov, N. N.; Fomin, F. V.
3
2000
On some problems of guaranteed search. Zbl 0854.68025
Petrov, N. N.; Starostina, S. A.
3
1994
Existence of abnormal minimizing geodesics in sub-Riemannian geometry. Zbl 0844.53032
Petrov, N. N.
3
1993
On a pursuit problem on a graph. Zbl 0717.90110
Petrov, N. N.; Ture, I.
3
1990
On the continuity of the Bellman function with respect to a parameter. Zbl 0427.60075
Petrov, N. N.
3
1979
Lokale Steuerbarkeit autonomer Systeme. Zbl 0167.08601
Petrov, N. N.
3
1968
Monotonicity of the search number in the Golovach problem. Zbl 1269.05076
Abramovskaya, T. V.; Petrov, N. N.
2
2011
Arbitrarily large jumps of the Golovach function for trees. Zbl 1254.05036
Abramovskaya, T. V.; Petrov, N. N.
2
2011
Search problems in graphs with retaliation. Zbl 1119.91022
Zelenevskaya, A. B.; Petrov, N. N.
2
2004
Some problems of the search on graphs with retaliation. Zbl 1107.91028
Petrov, N. N.; Teteryatnikova, M. A.
2
2004
On certain search problems with counteraction. Zbl 1151.91363
Petrov, N. N.; Chumanova, A. V.
2
2003
Search problems in graphs with counteraction. Zbl 1070.90049
Kapilevich, V. O.; Petrov, N. N.
2
2003
Causal structures on smooth manifolds. Zbl 1067.58001
Krym, V. R.; Petrov, N. N.
2
2001
Search problems on graphs of regular polyhedra. Zbl 0869.90095
Petrov, N. N.
2
1996
The \(k\)-search number of graphs of regular polyhedra. Zbl 0893.90165
Golovach, P. A.; Petrov, N. N.
2
1995
Completely controllable dynamical polysystems. Zbl 0814.58002
Petrov, N. N.
2
1992
Determination of the minimal number of a search group on a graph. Zbl 0725.90111
Petrov, N. N.; Ture, I.
2
1991
Separability properties of topologies generated by dynamic polysystems. Zbl 0768.54030
Petrov, N. N.
2
1991
Minimal graphs with search number smaller than four. Zbl 0682.05038
Petrov, N. N.; Starostina, S. A.
2
1989
An estimate in a differential game with many evaders. Zbl 0593.90106
Petrov, N. N.
2
1985
On the minimal number of vector fields generating a polysystem of a given class. Zbl 0573.93030
Petrov, N. N.
2
1985
Controllability of autonomous systems. Zbl 0234.93004
Petrov, N. N.
2
1972
Einige hinreichende Bedingungen für die stetige Abhängigkeit der Lösung einer Differentialgleichung von einem Parameter. Zbl 0128.07901
Petrov, N. N.
2
1962
Search under counteraction. Zbl 1165.91337
Andrianov, V. Yu.; Petrov, N. N.
1
2005
Graph searching problems with the counteraction. Zbl 1091.91013
Andrianov, V. Y.; Petrov, Nikolay N.
1
2005
Discrete search programs on graphs. Zbl 1043.91013
Petrov, N. N.; Fomin, F. V.
1
1999
The limit behavior of polynomial iterations in some compact rings. Zbl 1036.37500
Petrov, N. N.; Antonov, A. V.
1
1996
Pursuit of an invisible moving object. Zbl 0896.90188
Petrov, N. N.
1
1996
A problem of sub-Riemannian geometry. Zbl 0861.49004
Petrov, N. N.
1
1995
On the shortest sub-Riemannian geodesics. Zbl 0844.53033
Petrov, N. N.
1
1994
Completeness of vector fields. Zbl 0842.58016
Belaya, N. L.; Petrov, N. N.
1
1993
A pursuit problem on a graph. Zbl 0734.90136
Petrov, N. N.; Ture, I.
1
1990
Limit sets of trajectories of dynamical polysystems. Zbl 0719.93040
Petrov, N. N.; Khan, I. S.
1
1989
Minimal graphs with a search number less than four. Zbl 0698.05041
Petrov, N. N.; Starostina, S. A.
1
1989
Pursuit problems on the 1-skeleton of a cube. Zbl 0692.90107
Petrov, N. N.
1
1987
The search number of a complete graph. Zbl 0675.05062
Golovach, P. A.; Petrov, N. N.
1
1986
The search number of a complete graph. Zbl 0614.05058
Golovach, P. A.; Petrov, N. N.
1
1986
On metric topologies generated by control systems. Zbl 0601.93026
Petrov, N. N.
1
1985
Nonlocal problems in the theory of optimal processes. I. Zbl 0601.93006
Narmanov, A. Ya.; Petrov, N. N.
1
1985
Non-local problems of the theory of optimal processes. I. Zbl 0576.93010
Narmanov, A. Ya.; Petrov, N. N.
1
1985
Some extremal search problems on graphs. Zbl 0506.90099
Petrov, N. N.
1
1982
A remark concerning plane analytic control systems. Zbl 0449.93006
Petrov, N. N.
1
1979
Symmetric completely controllable control systems. Zbl 0421.93011
Petrov, N. N.
1
1979
A remark about plane analytic control systems. Zbl 0411.93007
Petrov, N. N.
1
1979
Über die Stetigkeit der Bellmanschen Funktion in entarteten Fällen. Zbl 0406.49016
Petrov, N. N.
1
1979
Local controllability. Zbl 0367.93007
Petrov, N. N.
1
1977
On continuity of Bellman’s function with respect to a parameter. Zbl 0308.60036
Petrov, N. N.
1
1974
Einige Fragen der Theorie der Steuerung in der Ebene. Zbl 0297.49003
Petrov, N. N.
1
1973
The existence of a value for a pursuit game. Zbl 0268.90082
Petrov, N. N.
1
1973
The continuity of Bellman’s generalized function. Zbl 0247.93006
Petrov, N. N.
1
1972
Solution of a problem in controllability theory. Zbl 0229.93010
Petrov, N. N.
1
1970
On the boundary of a set of controllability. Zbl 0229.49032
Petrov, N. N.
1
1970
Über einige kritische Fälle in der Theorie der Steuerbarkeit. Zbl 0255.93008
Petrov, N. N.
1
1969
Lösung einer Aufgabe der Theorie der Steuerbarkeit. Zbl 0169.42601
Petrov, N. N.
1
1969
Monotonicity of the search number in the Golovach problem. Zbl 1269.05076
Abramovskaya, T. V.; Petrov, N. N.
2
2011
Arbitrarily large jumps of the Golovach function for trees. Zbl 1254.05036
Abramovskaya, T. V.; Petrov, N. N.
2
2011
On some problems of guaranteed search on graphs. Zbl 1253.05103
Abramovskaya, T. V.; Petrov, N. N.
3
2010
The curvature tensor and the Einstein equations for a four-dimensional nonholonomic distribution. Zbl 1253.53045
Krym, V. R.; Petrov, N. N.
20
2008
Lyapunov-Razumikhin method for existence of almost periodic solutions of impulsive differential-difference equations. Zbl 1156.34057
Stamov, Gani Tr.; Petrov, Nikolay
4
2008
Equations of motion of a charged particle in a five-dimensional model of the general theory of relativity with a nonholonomic four-dimensional velocity space. Zbl 1145.83314
Krym, V. R.; Petrov, N. N.
14
2007
Search under counteraction. Zbl 1165.91337
Andrianov, V. Yu.; Petrov, N. N.
1
2005
Graph searching problems with the counteraction. Zbl 1091.91013
Andrianov, V. Y.; Petrov, Nikolay N.
1
2005
Search problems in graphs with retaliation. Zbl 1119.91022
Zelenevskaya, A. B.; Petrov, N. N.
2
2004
Some problems of the search on graphs with retaliation. Zbl 1107.91028
Petrov, N. N.; Teteryatnikova, M. A.
2
2004
On certain search problems with counteraction. Zbl 1151.91363
Petrov, N. N.; Chumanova, A. V.
2
2003
Search problems in graphs with counteraction. Zbl 1070.90049
Kapilevich, V. O.; Petrov, N. N.
2
2003
Causal structures on smooth manifolds. Zbl 1067.58001
Krym, V. R.; Petrov, N. N.
2
2001
Search in graphs. Zbl 1118.91305
Golovach, P. A.; Petrov, N. N.; Fomin, F. V.
3
2000
Discrete search programs on graphs. Zbl 1043.91013
Petrov, N. N.; Fomin, F. V.
1
1999
Search problems on 1-skeletons of regular polyhedrons. Zbl 0904.90091
Fomin, F. V.; Golovach, P. A.; Petrov, N. N.
5
1997
Pursuit-evasion and search problems on graphs. Zbl 0897.05079
Fomin, F. V.; Petrov, N. N.
10
1996
Search problems on graphs of regular polyhedra. Zbl 0869.90095
Petrov, N. N.
2
1996
The limit behavior of polynomial iterations in some compact rings. Zbl 1036.37500
Petrov, N. N.; Antonov, A. V.
1
1996
Pursuit of an invisible moving object. Zbl 0896.90188
Petrov, N. N.
1
1996
Some generalizations of the problem on the search number of a graph. Zbl 0883.90149
Golovach, P. A.; Petrov, N. N.
5
1995
The \(k\)-search number of graphs of regular polyhedra. Zbl 0893.90165
Golovach, P. A.; Petrov, N. N.
2
1995
A problem of sub-Riemannian geometry. Zbl 0861.49004
Petrov, N. N.
1
1995
On some problems of guaranteed search. Zbl 0854.68025
Petrov, N. N.; Starostina, S. A.
3
1994
On the shortest sub-Riemannian geodesics. Zbl 0844.53033
Petrov, N. N.
1
1994
Existence of abnormal minimizing geodesics in sub-Riemannian geometry. Zbl 0844.53032
Petrov, N. N.
3
1993
Completeness of vector fields. Zbl 0842.58016
Belaya, N. L.; Petrov, N. N.
1
1993
Completely controllable dynamical polysystems. Zbl 0814.58002
Petrov, N. N.
2
1992
Determination of the minimal number of a search group on a graph. Zbl 0725.90111
Petrov, N. N.; Ture, I.
2
1991
Separability properties of topologies generated by dynamic polysystems. Zbl 0768.54030
Petrov, N. N.
2
1991
On a pursuit problem on a graph. Zbl 0717.90110
Petrov, N. N.; Ture, I.
3
1990
A pursuit problem on a graph. Zbl 0734.90136
Petrov, N. N.; Ture, I.
1
1990
Minimal graphs with search number smaller than four. Zbl 0682.05038
Petrov, N. N.; Starostina, S. A.
2
1989
Limit sets of trajectories of dynamical polysystems. Zbl 0719.93040
Petrov, N. N.; Khan, I. S.
1
1989
Minimal graphs with a search number less than four. Zbl 0698.05041
Petrov, N. N.; Starostina, S. A.
1
1989
On a problem of pursuit of a group of evaders. Zbl 0677.90103
Petrov, N. N.; Prokopenko, V. A.
7
1987
Pursuit problems on the 1-skeleton of a cube. Zbl 0692.90107
Petrov, N. N.
1
1987
The search number of a complete graph. Zbl 0675.05062
Golovach, P. A.; Petrov, N. N.
1
1986
The search number of a complete graph. Zbl 0614.05058
Golovach, P. A.; Petrov, N. N.
1
1986
An estimate in a differential game with many evaders. Zbl 0593.90106
Petrov, N. N.
2
1985
On the minimal number of vector fields generating a polysystem of a given class. Zbl 0573.93030
Petrov, N. N.
2
1985
On metric topologies generated by control systems. Zbl 0601.93026
Petrov, N. N.
1
1985
Nonlocal problems in the theory of optimal processes. I. Zbl 0601.93006
Narmanov, A. Ya.; Petrov, N. N.
1
1985
Non-local problems of the theory of optimal processes. I. Zbl 0576.93010
Narmanov, A. Ya.; Petrov, N. N.
1
1985
On the differential game ”Casacks-robbers”. Zbl 0521.90109
Petrov, N. N.; Petrov, N. Nikandr.
11
1983
Some extremal search problems on graphs. Zbl 0495.90097
Petrov, N. N.
4
1982
Some extremal search problems on graphs. Zbl 0506.90099
Petrov, N. N.
1
1982
On the continuity of the Bellman function with respect to a parameter. Zbl 0427.60075
Petrov, N. N.
3
1979
A remark concerning plane analytic control systems. Zbl 0449.93006
Petrov, N. N.
1
1979
Symmetric completely controllable control systems. Zbl 0421.93011
Petrov, N. N.
1
1979
A remark about plane analytic control systems. Zbl 0411.93007
Petrov, N. N.
1
1979
Über die Stetigkeit der Bellmanschen Funktion in entarteten Fällen. Zbl 0406.49016
Petrov, N. N.
1
1979
Local controllability. Zbl 0367.93007
Petrov, N. N.
1
1977
On continuity of Bellman’s function with respect to a parameter. Zbl 0308.60036
Petrov, N. N.
1
1974
Einige Fragen der Theorie der Steuerung in der Ebene. Zbl 0297.49003
Petrov, N. N.
1
1973
The existence of a value for a pursuit game. Zbl 0268.90082
Petrov, N. N.
1
1973
Controllability of autonomous systems. Zbl 0234.93004
Petrov, N. N.
2
1972
The continuity of Bellman’s generalized function. Zbl 0247.93006
Petrov, N. N.
1
1972
On the Bellman function for the time-optimal process problem. Zbl 0253.49012
Petrov, N. N.
18
1970
On the existence of a pursuit game value. Zbl 0205.16204
Petrov, N. N.
5
1970
Solution of a problem in controllability theory. Zbl 0229.93010
Petrov, N. N.
1
1970
On the boundary of a set of controllability. Zbl 0229.49032
Petrov, N. N.
1
1970
Über einige kritische Fälle in der Theorie der Steuerbarkeit. Zbl 0255.93008
Petrov, N. N.
1
1969
Lösung einer Aufgabe der Theorie der Steuerbarkeit. Zbl 0169.42601
Petrov, N. N.
1
1969
On the controllability of autonomous systems. Zbl 0174.40302
Petrov, N. N.
36
1968
Lokale Steuerbarkeit autonomer Systeme. Zbl 0167.08601
Petrov, N. N.
3
1968
About the continuity of the solutions of differential equations in a parameter. Zbl 0151.12403
Petrov, N. N.
6
1964
Einige hinreichende Bedingungen für die stetige Abhängigkeit der Lösung einer Differentialgleichung von einem Parameter. Zbl 0128.07901
Petrov, N. N.
2
1962
all top 5

Cited by 97 Authors

16 Petrov, Nikolaĭ Nikandrovich
15 Karmanova, Maria B.
6 Krym, Victor R.
6 Petrov, Nikolai Nikolaevich
5 Fomin, Fedor V.
5 Shchelchkov, Kirill Aleksandrovich
5 Soravia, Pierpaolo
4 Bacciotti, Andrea
4 Bardi, Martino
4 Gonçalves, J. Basto
4 Solov’eva, Nadezhda Aleksandrovna
4 Stefani, Gianna
4 Tadumadze, Tamaz A.
3 Alzabut, Jehad O.
3 Cannarsa, Piermarco
3 Heggernes, Pinar
3 Krasovskiĭ, Nikolaĭ Nikolaevich
3 Mihai, Rodica
3 Thilikos, Dimitrios M.
2 Abramovskaya, Tat’yana Viktorovna
2 Bianchini, Rosa Maria
2 Cao, Yi
2 Cârjă, Ovidiu
2 Davydov, Alekseĭ Aleksandrovich
2 Komarov, Mikhaĭl Anatol’evich
2 Lazu, Alina Ilinca
2 Narmanov, Abdigappar Yakubovich
2 Nour, Chadi
2 Sermutlu, Emre
2 Stamov, Gani Trendafilov
2 Stern, Ronald Jay
2 Vinogradova, Marina N.
2 Yang, Boting
1 Abramovskaya, Tanya V.
1 Alekseicik, M. I.
1 Artstein, Zvi
1 Aubin-Frankowski, Pierre-Cyril
1 Bannikov, Aleksandr Sergeevich
1 Bhattacharya, Sayan
1 Bichurina, A. I.
1 Blagodatskikh, Aleksandr Ivanovich
1 Castelpietra, Marco
1 Chikriĭ, Arkadiĭ Alekseevich
1 Chistyakov, Sergey V.
1 Clarke, Francis H.
1 Dumitrescu, Adrian
1 Dvalishvili, Phridon
1 Ebin, David G.
1 Feleqi, Ermal
1 Frankowska, Hélène
1 Gabasov, Rafail
1 Galaev, Sergei Vasil’evich
1 Golovach, Petr A.
1 Gorgodze, N. Z.
1 Gorgodze, Nika
1 He, Chunyan
1 Ho, Chungwa
1 Hsu, Tsan-sheng
1 Kharatishvili, Guram L.
1 Kirillov, Aleksandr Nikolaevich
1 Kirillova, Faina Mihaǐlovna
1 Ko, Ming-Tat
1 Kratsch, Dieter
1 Li, Xia
1 Li, Yongkun
1 Limnios, Stratis
1 Machtakova, Alëna Igor’evna
1 Manh, Hy Duc
1 Mignanego, Fausto
1 Müller, Haiko
1 Opial, Zdzislaw
1 Paul, Christophe
1 Paul, Goutam
1 Peng, Sheng-Lung
1 Perret, Joanny
1 Pieri, Graziano
1 Prokopovich, Pavel V.
1 Ramishvili, I. V.
1 Ramishvili, Ia
1 Richerby, David M.
1 Sanyal, Swagato
1 Sartori, Caterina
1 Sinestrari, Carlo
1 Staicu, Vasile
1 Suzuki, Ichiro
1 Tang, Chuan Yi
1 Tomskij, G. V.
1 Tretiyak, A. I.
1 Vagin, Dmitry A.
1 Vakhrameev, S. A.
1 Wang, Gengsheng
1 Wenk, Carl J.
1 Wolenski, Peter R.
1 Yue, Rong
1 Zecca, Pasquale
1 Zhang, Yubiao
1 Żyliński, Paweł
all top 5

Cited in 44 Serials

11 Journal of Applied Mathematics and Mechanics
9 Journal of Optimization Theory and Applications
8 Vestnik St. Petersburg University. Mathematics
8 Journal of Mathematical Sciences (New York)
7 Siberian Mathematical Journal
7 Doklady Mathematics
6 Systems & Control Letters
6 Journal of Computer and Systems Sciences International
5 Discrete Applied Mathematics
4 Journal of Differential Equations
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Theoretical Computer Science
4 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet
3 Proceedings of the Steklov Institute of Mathematics
3 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
2 Prikladnaya Matematika i Mekhanika
2 Mathematical and Computer Modelling
2 Differential Equations
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Optimization
1 Mathematical Systems Theory
1 Networks
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Control and Optimization
1 Transactions of the American Mathematical Society
1 Acta Applicandae Mathematicae
1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică
1 Calculus of Variations and Partial Differential Equations
1 Georgian Mathematical Journal
1 Izvestiya: Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Abstract and Applied Analysis
1 Journal of Combinatorial Optimization
1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ. Seriya 1
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Advances in Difference Equations
1 Chebyshevskiĭ Sbornik
1 International Journal of Differential Equations
1 Set-Valued and Variational Analysis
1 Dynamic Games and Applications
1 Mathematical Control and Related Fields
1 Problemy Analiza. Issues of Analysis
1 Minimax Theory and its Applications
1 Transactions of A. Razmadze Mathematical Institute

Citations by Year

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