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Author ID: jank.gerhard Recent zbMATH articles by "Jank, Gerhard"
Published as: Jank, Gerhard; Jank, G.

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 672 times in 564 Documents Cited by Year
Matrix Riccati equations in control and systems theory. Zbl 1027.93001
Abou-Kandil, Hisham; Freiling, Gerhard; Ionescu, Vlad; Jank, Gerhard
210
2003
Introduction to the theory of entire and meromorphic functions with applications to differential equations. (Einführung in die Theorie der ganzen und meromorphen Funktionen mit Anwendungen auf Differentialgleichungen.) Zbl 0682.30001
Jank, Gerhard; Volkmann, Lutz
87
1985
Meromorphe Funktionen, die mit ihrer ersten und zweiten Ableitung einen endlichen Wert teilen. (Meromorphic functions which share some finite value with its first and second derivative). Zbl 0603.30037
Jank, Gerhard; Mues, Erwin; Volkmann, Lutz
55
1986
Solution and asymptotic behavior of coupled Riccati equations in jump linear systems. Zbl 0925.93387
Abou-Kandil, H.; Freiling, G.; Jank, G.
43
1994
On the solution of discrete-time Markovian jump linear quadratic control problems. Zbl 0822.93074
Abou-Kandil, H.; Freiling, G.; Jank, G.
26
1995
On global existence of solutions to coupled matrix Riccati equations in closed-loop Nash games. Zbl 0845.90137
Freiling, G.; Jank, G.; Abou-Kandil, H.
25
1996
Existence and uniqueness of open-loop Stackelberg equilibria in linear-quadratic differential games. Zbl 0989.49027
Freiling, G.; Jank, G.; Lee, S. R.
21
2001
On the iteration of quaternionic Moebius transformations. Zbl 0860.30041
Heidrich, R.; Jank, G.
21
1996
Existence and comparison theorems for algebraic Riccati equations and Riccati differential and difference equations. Zbl 0979.93091
Freiling, G.; Jank, G.
16
1996
Disturbance attenuation of linear quadratic OL-Nash games on repetitive processes with smoothing on the gas dynamics. Zbl 1256.49045
Azevedo-Perdicoúlis, T.-P.; Jank, G.
16
2012
Necessary conditions for constant solutions of coupled Riccati equations in Nash games. Zbl 0805.90133
Abou-Kandil, H.; Freiling, G.; Jank, G.
13
1993
Generalized Riccati difference and differential equations. Zbl 0856.34003
Freiling, G.; Jank, G.; Abou-Kandil, H.
13
1996
Clifford analysis, biaxial symmetry and pseudoanalytic functions. Zbl 0703.30044
Jank, G.; Sommen, F.
12
1990
Existence and uniqueness of open-loop Nash equilibria in linear-quadratic discrete-time games. Zbl 1364.91035
Jank, G.; Abou-Kandil, H.
12
2003
Non-blow-up conditions for Riccati-type matrix differential and difference equations. Zbl 0964.34005
Freiling, G.; Jank, G.; Sarychev, A.
11
2000
Non-symmetric matrix Riccati equations. Zbl 0821.34011
Freiling, G.; Jank, G.
10
1995
Coupled matrix Riccati equations in minimal cost variance control problems. Zbl 0986.93072
Freiling, G.; Lee, S.-R.; Jank, G.
6
1999
On the dependence of the solutions of algebraic and differential game Riccati equations on the parameter \(\mu\). Zbl 0858.90150
Freiling, G.; Jank, G.; Lee, Seung-Rae; Abou-Kandil, H.
6
1996
Discrete-time Riccati equations in open-loop Nash and Stackelberg games. Zbl 1093.91505
Freiling, G.; Jank, G.; Abou-Kandil, H.
5
1999
Polynomerzeugende bei einer Klasse von Differentialgleichungen mit zwei unabhängigen Variablen. Zbl 0207.41002
Florian, H.; Jank, G.
5
1971
Meromorphic functions sharing three values. Zbl 0747.30022
Jank, Gerhard; Terglane, Norbert
5
1991
Controllability, observability and optimal control of continuous-time 2-D systems. Zbl 1014.93017
Jank, Gerhard
5
2002
Wachstumsverhalten zusammengesetzter Funktionen. Zbl 0547.30019
Bergweiler, Walter; Jank, Gerhard; Volkmann, Lutz
4
1984
Iterative solution of algebraic matrix Riccati equations in open loop Nash games. Zbl 1056.93019
Azevedo-Perdicoúlis, Teresa Paula; Jank, Gerhard
4
2005
Linear quadratic Nash games on positive linear systems. Zbl 1293.49099
Paula Azevedo-Perdicoúlis, Teresa; Jank, Gerhard
4
2005
Optimal control of disturbed linear-quadratic differential games. Zbl 1293.49084
Jank, Gerhard; Kun, Gábor
4
2002
Instant controllability for Goursat problems. Zbl 1003.93006
Gyurkovics, É.; Jank, G.
4
2001
Disturbance attenuation in hyperbolic 2D-systems. Zbl 1118.49006
Jank, Gerhard
3
2006
Differentialoperatoren bei einer inhomogenen elliptischen Differentialgleichung. (Differential operators at a nonhomogeneous elliptic differential equation). Zbl 0225.35043
Bauer, Karl Wilhelm; Jank, Gerhard
3
1972
Nonsymmetric matrix Riccati equations. Zbl 0808.34008
Freiling, G.; Jank, G.
3
1994
Solutions of generalized Riccati differential equations and their approximation. Zbl 0936.34006
Jank, Gerhard; Kun, Gábor
2
1999
Über das Wachstum gewisser Klassen kanonischer Produkte. Zbl 0355.30024
Jank, Gerhard; Wallner, Herbert
2
1977
Ein elementarer Beweis des Satzes von Malmquist-Yosida-Steinmetz. Zbl 0577.30028
Jank, Gerhard; Volkmann, Lutz
2
1983
Modelling a gas pipeline as a repetitive process: controllability, observability and stability. Zbl 1368.93031
Azevedo-Perdicoúlis, Teresa Paula; Jank, Gerhard; Lopes dos Santos, Paulo
2
2015
Qualitative properties and stabilizability of a model for blood thrombin formation. Zbl 1152.92010
Orfao, S. Cunha; Jank, G.; Mottaghy, K.; Walcher, S.; Zerz, E.
2
2008
Existence and uniqueness of disturbed open-loop Nash equilibria for affine-quadratic differential games. Zbl 1221.49069
Azevedo-Perdicoúlis, Teresa-Paula; Jank, Gerhard
1
2011
Clifford algebras and their application in mathematical physics. Proceedings of the 4th conference, Aachen, Germany, May 28–31, 1996. Zbl 0889.00021
1
1998
Leakage detection and location in gas pipelines through an LPV identification approach. Zbl 1408.93048
Lopes dos Santos, P.; Azevedo-Perdicoúlis, T.-P.; Jank, G.; Ramos, J. A.; Martins de Carvalho, J. L.
1
2011
Algebraic Schwarzian differential equations. Zbl 0849.30021
Hotzel, Richard; Jank, Gerhard
1
1996
On integro-differential-operators for partial differential equations. Zbl 0338.35011
Jank, G.
1
1976
Untersuchungen ganzer und meromorpher Funktionen unendlicher Ordnung. Zbl 0475.30018
Jank, Gerhard; Volkmann, Lutz
1
1982
Eine Bemerkung zur Darstellung gewisser pseudoanalytischer Funktionen. Zbl 0263.30040
Jank, Gerhard; Ruscheweyh, Stephan
1
1973
Integral- und Differentialoperatoren bei einer Differentialgleichung mit mehreren komplexen Veränderlichen. Zbl 0263.35003
Jank, G.
1
1973
Matrix Riccati differential equations. Zbl 1099.34002
Jank, Gerhard
1
2005
Über faktorisierbare Lösungen Riccatischer Differentialgleichungen. Zbl 0614.34007
Bergweiler, W.; Jank, G.; Volkmann, L.
1
1986
Modelling a gas pipeline as a repetitive process: controllability, observability and stability. Zbl 1368.93031
Azevedo-Perdicoúlis, Teresa Paula; Jank, Gerhard; Lopes dos Santos, Paulo
2
2015
Disturbance attenuation of linear quadratic OL-Nash games on repetitive processes with smoothing on the gas dynamics. Zbl 1256.49045
Azevedo-Perdicoúlis, T.-P.; Jank, G.
16
2012
Existence and uniqueness of disturbed open-loop Nash equilibria for affine-quadratic differential games. Zbl 1221.49069
Azevedo-Perdicoúlis, Teresa-Paula; Jank, Gerhard
1
2011
Leakage detection and location in gas pipelines through an LPV identification approach. Zbl 1408.93048
Lopes dos Santos, P.; Azevedo-Perdicoúlis, T.-P.; Jank, G.; Ramos, J. A.; Martins de Carvalho, J. L.
1
2011
Qualitative properties and stabilizability of a model for blood thrombin formation. Zbl 1152.92010
Orfao, S. Cunha; Jank, G.; Mottaghy, K.; Walcher, S.; Zerz, E.
2
2008
Disturbance attenuation in hyperbolic 2D-systems. Zbl 1118.49006
Jank, Gerhard
3
2006
Iterative solution of algebraic matrix Riccati equations in open loop Nash games. Zbl 1056.93019
Azevedo-Perdicoúlis, Teresa Paula; Jank, Gerhard
4
2005
Linear quadratic Nash games on positive linear systems. Zbl 1293.49099
Paula Azevedo-Perdicoúlis, Teresa; Jank, Gerhard
4
2005
Matrix Riccati differential equations. Zbl 1099.34002
Jank, Gerhard
1
2005
Matrix Riccati equations in control and systems theory. Zbl 1027.93001
Abou-Kandil, Hisham; Freiling, Gerhard; Ionescu, Vlad; Jank, Gerhard
210
2003
Existence and uniqueness of open-loop Nash equilibria in linear-quadratic discrete-time games. Zbl 1364.91035
Jank, G.; Abou-Kandil, H.
12
2003
Controllability, observability and optimal control of continuous-time 2-D systems. Zbl 1014.93017
Jank, Gerhard
5
2002
Optimal control of disturbed linear-quadratic differential games. Zbl 1293.49084
Jank, Gerhard; Kun, Gábor
4
2002
Existence and uniqueness of open-loop Stackelberg equilibria in linear-quadratic differential games. Zbl 0989.49027
Freiling, G.; Jank, G.; Lee, S. R.
21
2001
Instant controllability for Goursat problems. Zbl 1003.93006
Gyurkovics, É.; Jank, G.
4
2001
Non-blow-up conditions for Riccati-type matrix differential and difference equations. Zbl 0964.34005
Freiling, G.; Jank, G.; Sarychev, A.
11
2000
Coupled matrix Riccati equations in minimal cost variance control problems. Zbl 0986.93072
Freiling, G.; Lee, S.-R.; Jank, G.
6
1999
Discrete-time Riccati equations in open-loop Nash and Stackelberg games. Zbl 1093.91505
Freiling, G.; Jank, G.; Abou-Kandil, H.
5
1999
Solutions of generalized Riccati differential equations and their approximation. Zbl 0936.34006
Jank, Gerhard; Kun, Gábor
2
1999
Clifford algebras and their application in mathematical physics. Proceedings of the 4th conference, Aachen, Germany, May 28–31, 1996. Zbl 0889.00021
1
1998
On global existence of solutions to coupled matrix Riccati equations in closed-loop Nash games. Zbl 0845.90137
Freiling, G.; Jank, G.; Abou-Kandil, H.
25
1996
On the iteration of quaternionic Moebius transformations. Zbl 0860.30041
Heidrich, R.; Jank, G.
21
1996
Existence and comparison theorems for algebraic Riccati equations and Riccati differential and difference equations. Zbl 0979.93091
Freiling, G.; Jank, G.
16
1996
Generalized Riccati difference and differential equations. Zbl 0856.34003
Freiling, G.; Jank, G.; Abou-Kandil, H.
13
1996
On the dependence of the solutions of algebraic and differential game Riccati equations on the parameter \(\mu\). Zbl 0858.90150
Freiling, G.; Jank, G.; Lee, Seung-Rae; Abou-Kandil, H.
6
1996
Algebraic Schwarzian differential equations. Zbl 0849.30021
Hotzel, Richard; Jank, Gerhard
1
1996
On the solution of discrete-time Markovian jump linear quadratic control problems. Zbl 0822.93074
Abou-Kandil, H.; Freiling, G.; Jank, G.
26
1995
Non-symmetric matrix Riccati equations. Zbl 0821.34011
Freiling, G.; Jank, G.
10
1995
Solution and asymptotic behavior of coupled Riccati equations in jump linear systems. Zbl 0925.93387
Abou-Kandil, H.; Freiling, G.; Jank, G.
43
1994
Nonsymmetric matrix Riccati equations. Zbl 0808.34008
Freiling, G.; Jank, G.
3
1994
Necessary conditions for constant solutions of coupled Riccati equations in Nash games. Zbl 0805.90133
Abou-Kandil, H.; Freiling, G.; Jank, G.
13
1993
Meromorphic functions sharing three values. Zbl 0747.30022
Jank, Gerhard; Terglane, Norbert
5
1991
Clifford analysis, biaxial symmetry and pseudoanalytic functions. Zbl 0703.30044
Jank, G.; Sommen, F.
12
1990
Meromorphe Funktionen, die mit ihrer ersten und zweiten Ableitung einen endlichen Wert teilen. (Meromorphic functions which share some finite value with its first and second derivative). Zbl 0603.30037
Jank, Gerhard; Mues, Erwin; Volkmann, Lutz
55
1986
Über faktorisierbare Lösungen Riccatischer Differentialgleichungen. Zbl 0614.34007
Bergweiler, W.; Jank, G.; Volkmann, L.
1
1986
Introduction to the theory of entire and meromorphic functions with applications to differential equations. (Einführung in die Theorie der ganzen und meromorphen Funktionen mit Anwendungen auf Differentialgleichungen.) Zbl 0682.30001
Jank, Gerhard; Volkmann, Lutz
87
1985
Wachstumsverhalten zusammengesetzter Funktionen. Zbl 0547.30019
Bergweiler, Walter; Jank, Gerhard; Volkmann, Lutz
4
1984
Ein elementarer Beweis des Satzes von Malmquist-Yosida-Steinmetz. Zbl 0577.30028
Jank, Gerhard; Volkmann, Lutz
2
1983
Untersuchungen ganzer und meromorpher Funktionen unendlicher Ordnung. Zbl 0475.30018
Jank, Gerhard; Volkmann, Lutz
1
1982
Über das Wachstum gewisser Klassen kanonischer Produkte. Zbl 0355.30024
Jank, Gerhard; Wallner, Herbert
2
1977
On integro-differential-operators for partial differential equations. Zbl 0338.35011
Jank, G.
1
1976
Eine Bemerkung zur Darstellung gewisser pseudoanalytischer Funktionen. Zbl 0263.30040
Jank, Gerhard; Ruscheweyh, Stephan
1
1973
Integral- und Differentialoperatoren bei einer Differentialgleichung mit mehreren komplexen Veränderlichen. Zbl 0263.35003
Jank, G.
1
1973
Differentialoperatoren bei einer inhomogenen elliptischen Differentialgleichung. (Differential operators at a nonhomogeneous elliptic differential equation). Zbl 0225.35043
Bauer, Karl Wilhelm; Jank, Gerhard
3
1972
Polynomerzeugende bei einer Klasse von Differentialgleichungen mit zwei unabhängigen Variablen. Zbl 0207.41002
Florian, H.; Jank, G.
5
1971
all top 5

Cited by 721 Authors

20 Jank, Gerhard
17 Freiling, Gerhard
17 Yi, Hongxun
11 Engwerda, Jacob Christiaan
11 Li, Xiaomin
11 Wang, Jun
10 Bergweiler, Walter
10 Drăgan, Vasile
8 Fang, Mingliang
8 Ferrante, Augusto
8 Lahiri, Indrajit
8 Laine, Ilpo
8 Mena, Hermann
7 Abou-Kandil, Hisham
7 Benner, Peter
7 Del Moral, Pierre
7 González-Cervantes, José Óscar
7 Jbilou, Khalide
7 Sommen, Franciscus
7 Vũ Ngoc Phát
6 Chiu, Mei Choi
6 Ivanov, Ivan Ganchev
6 Wong, Hoi Ying
6 Zhang, Huanshui
5 Azevedo-Perdicoúlis, Teresa Paula
5 Jungers, Marc
5 Kaish, Imrul
5 Kuo, Yueh-Cheng
5 Lewis, Frank Leroy
5 Moon, Jun-Hee
5 Shieh, Shih-Feng
5 Vamvoudakis, Kyriakos G.
4 Aksikas, Ilyasse
4 Bishop, Adrian N.
4 Costa, Oswaldo Luiz V.
4 do Val, João B. R.
4 Gałkowski, Krzysztof
4 Heiland, Jan
4 Korhonen, Risto
4 Li, Ping
4 Li, Sheng
4 Liao, Liangwen
4 Liu, Jianzhou
4 Mukaidani, Hiroaki
4 Niamsup, Piyapong
4 Ntogramatzidis, Lorenzo
4 Rogers, Eric
4 Shen, Yang
4 Stillfjord, Tony
4 Xu, Hongyan
4 Xu, Jianhong
4 Zhang, Juan
3 Aberkane, Samir
3 Belaïdi, Benharrat
3 Blanes, Sergio
3 Boukas, El-Kébir
3 Chen, Baoqin
3 Chen, Zongxuan
3 Chiang, Yik-Man
3 D’Alessandro, Domenico
3 de Almeida, Regina
3 Geromel, Jose Claudio
3 Ghosh, Goutam Kumar
3 Grahl, Jürgen
3 Gundersen, Gary G.
3 Hamouda, Saada
3 Heittokangas, Janne M.
3 Hochhaus, Andreas
3 Jimenez-Lizarraga, Manuel
3 Lam, James
3 Latreuch, Zinelâabidine
3 Li, Yezhou
3 Lin, Hueyer
3 Lu, Feng
3 Mehrmann, Volker
3 Morozan, Toader
3 Pillai, Harish K.
3 Robertson, Scott
3 Sadek, Lakhlifa
3 Sanand Amita Dilip, A.
3 Shi, Peng
3 Sun, Zhongyang
3 Trélat, Emmanuel
3 Volkmann, Lutz
3 Wang, Bingchang
3 Wang, Hua
3 Wang, Jianping
3 Xu, Junfeng
3 Yang, Lianzhong
3 Zaccour, Georges
3 Zhang, Jifeng
3 Zhang, Jilong
3 Zuazua, Enrique
2 Abouheaf, Mohammed I.
2 Abraham, Mathew P.
2 Aya, Julio C. C.
2 Bachelier, Olivier
2 Başar, Tamer
2 Bauer, Karl Wilhelm
2 Behr, Maximilian
...and 621 more Authors
all top 5

Cited in 200 Serials

42 Automatica
31 Journal of Mathematical Analysis and Applications
27 Linear Algebra and its Applications
18 Journal of the Franklin Institute
16 International Journal of Control
15 Results in Mathematics
14 Journal of Optimization Theory and Applications
13 European Journal of Control
12 Applied Mathematics and Computation
11 Journal of Computational and Applied Mathematics
10 SIAM Journal on Control and Optimization
10 Systems & Control Letters
10 Advances in Difference Equations
9 Computational Methods and Function Theory
7 Archiv der Mathematik
7 Multidimensional Systems and Signal Processing
7 Numerical Algorithms
7 Advances in Applied Clifford Algebras
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Acta Mathematica Sinica. English Series
6 Complex Analysis and Operator Theory
5 Kodai Mathematical Journal
5 Monatshefte für Mathematik
5 Abstract and Applied Analysis
5 Complex Variables and Elliptic Equations
5 International Journal of Systems Science. Principles and Applications of Systems and Integration
4 Applied Numerical Mathematics
4 MCSS. Mathematics of Control, Signals, and Systems
4 SIAM Journal on Scientific Computing
4 Nonlinear Analysis. Hybrid Systems
4 Dynamic Games and Applications
3 International Journal of Systems Science
3 Linear and Multilinear Algebra
3 Applied Mathematics and Optimization
3 Journal of Differential Equations
3 Proceedings of the Japan Academy. Series A
3 Insurance Mathematics & Economics
3 Journal of Economic Dynamics & Control
3 European Journal of Operational Research
3 Computational and Applied Mathematics
3 Journal of Dynamical and Control Systems
3 Bollettino dell’Unione Matematica Italiana
2 Analysis Mathematica
2 Computers & Mathematics with Applications
2 Houston Journal of Mathematics
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Journal of Approximation Theory
2 Manuscripta Mathematica
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 Optimal Control Applications & Methods
2 Zeitschrift für Analysis und ihre Anwendungen
2 Stochastic Analysis and Applications
2 Journal of Scientific Computing
2 The Annals of Applied Probability
2 Automation and Remote Control
2 International Journal of Robust and Nonlinear Control
2 Journal of Mathematical Sciences (New York)
2 Fractals
2 Filomat
2 Mathematical Problems in Engineering
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Finance and Stochastics
2 Taiwanese Journal of Mathematics
2 Mathematical Methods of Operations Research
2 Communications of the Korean Mathematical Society
2 International Journal of Applied Mathematics and Computer Science
2 Journal of Industrial and Management Optimization
2 SIAM Journal on Financial Mathematics
2 Algorithms
2 Analysis and Mathematical Physics
2 Numerical Algebra, Control and Optimization
2 Mathematical Control and Related Fields
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Periodica Mathematica Hungarica
1 Physics Reports
1 Theoretical and Mathematical Physics
1 Mathematics of Computation
1 Journal of Geometry and Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica Vietnamica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 BIT
1 Calcolo
1 Czechoslovak Mathematical Journal
1 Fuzzy Sets and Systems
1 Illinois Journal of Mathematics
1 Information Sciences
1 Journal of Applied Probability
1 Journal of the Korean Mathematical Society
1 Kyungpook Mathematical Journal
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Nagoya Mathematical Journal
...and 100 more Serials
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Cited in 41 Fields

189 Systems theory; control (93-XX)
160 Functions of a complex variable (30-XX)
111 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
110 Calculus of variations and optimal control; optimization (49-XX)
89 Ordinary differential equations (34-XX)
73 Numerical analysis (65-XX)
64 Linear and multilinear algebra; matrix theory (15-XX)
61 Probability theory and stochastic processes (60-XX)
32 Difference and functional equations (39-XX)
22 Partial differential equations (35-XX)
17 Dynamical systems and ergodic theory (37-XX)
16 Operations research, mathematical programming (90-XX)
14 Operator theory (47-XX)
9 Special functions (33-XX)
9 Fluid mechanics (76-XX)
7 Statistics (62-XX)
7 Computer science (68-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Biology and other natural sciences (92-XX)
5 Group theory and generalizations (20-XX)
5 Differential geometry (53-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Geometry (51-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 History and biography (01-XX)
2 Associative rings and algebras (16-XX)
2 Real functions (26-XX)
2 Integral transforms, operational calculus (44-XX)
2 Mechanics of particles and systems (70-XX)
2 Information and communication theory, circuits (94-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Functional analysis (46-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Quantum theory (81-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year