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## Liu, Guodong

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 Author ID: liu.guodong Published as: Liu, G.; Liu, G. D.; Liu, Guo-Dong; Liu, Guodong
 Documents Indexed: 78 Publications since 1988
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#### Co-Authors

 27 single-authored 5 Luo, Hui 5 Meng, Xinzhu 3 Chang, Zhengbo 3 Liu, Xiaodi 3 Srivastava, Hari Mohan 3 Wang, Haiqing 2 Li, Guizhen 2 Wang, Nianliang 2 Yang, Jiming 2 Ye, Maodong 2 Zhu, Jianjun 1 Chen, Shizhe 1 Fullmer, William D. 1 Gao, Shujing 1 Hao, Jingjing 1 Hassan, Muhammad 1 Hrenya, Christine M. 1 Hu, Tao 1 Karlof, John K. 1 Lang, Rongling 1 Li, Dan 1 Li, Hailong 1 Li, Hui 1 Li, Jingjian 1 Li, Ling 1 Li, Min 1 Li, Rongxiang 1 Liao, Xiaofeng 1 Ling, Bo 1 Liu, Guoliang 1 Liu, Kaiyuan 1 Liu, Siyu 1 Liu, Wanyu 1 Lu, Huilin 1 Lu, Ruibo 1 Mao, Jiali 1 Pu, Xin 1 Pu, Zhaobang 1 Qi, Haokun 1 Qin, Honglei 1 Wang, Hui 1 Wang, Lin 1 Wang, Qiang 1 Wang, Tingting 1 Wang, Xiaohan 1 Wang, Xiaohong 1 Wang, Xinzeng 1 Wang, Zhengxia 1 Wei, Meiqin 1 Xu, Jing 1 Yin, Xiaolong 1 Yue, Jun 1 Zhang, Qinghong 1 Zhang, Shitao 1 Zhang, Wenpeng 1 Zhao, Chenqian
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#### Serials

 6 Applied Mathematics and Computation 6 The Fibonacci Quarterly 4 Pure and Applied Mathematics 3 Proceedings of the Japan Academy. Series A 3 Scientia Magna 2 Computers & Mathematics with Applications 2 Acta Mathematica Sinica 2 Journal of Mathematics. Wuhan University 2 Applied Mathematics and Mechanics. (English Edition) 2 Mathematical Problems in Engineering 2 Discrete Dynamics in Nature and Society 2 Journal of Zhejiang University. Science Edition 2 Control and Decision 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Fluid Mechanics 1 Ars Combinatoria 1 Journal of Number Theory 1 Publicationes Mathematicae 1 Numerical Mathematics 1 Journal of Mathematical Research & Exposition 1 Journal of Xiamen University. Natural Science 1 Journal of Wuhan University. Natural Science Edition 1 Journal of Engineering Mathematics (Xi’an) 1 Annals of Differential Equations 1 Journal of Jiangxi Normal University. Natural Science Edition 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 Applied Mathematical Modelling 1 Russian Journal of Mathematical Physics 1 Kyushu Journal of Mathematics 1 Complexity 1 Abstract and Applied Analysis 1 Soft Computing 1 Journal of Integer Sequences 1 Acta Mathematica Sinica. English Series 1 Acta Analysis Functionalis Applicata. AAFA 1 Integers 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Harbin Institute of Technology 1 Communications in Theoretical Physics 1 ISRN Discrete Mathematics 1 Journal of Function Spaces
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#### Fields

 43 Number theory (11-XX) 17 Combinatorics (05-XX) 9 Biology and other natural sciences (92-XX) 6 Computer science (68-XX) 4 Special functions (33-XX) 4 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Operations research, mathematical programming (90-XX) 2 Mathematical logic and foundations (03-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

44 Publications have been cited 187 times in 137 Documents Cited by Year
Extinction and persistence in mean of a novel delay impulsive stochastic infected predator-prey system with jumps. Zbl 1407.92112
Liu, Guodong; Wang, Xiaohong; Meng, Xinzhu; Gao, Shujing
2017
Explicit formulas for the Nörlund polynomials $$B_n^{(x)}$$ and $$b_n^{(x )}$$. Zbl 1161.11314
Liu, Guodong; Srivastava, H. M.
2006
On the double Roman domination of graphs. Zbl 1427.05171
Yue, Jun; Wei, Meiqin; Li, Min; Liu, Guodong
2018
On congruences of Euler numbers modulo powers of two. Zbl 1204.11051
Liu, Guodong
2008
The solution of a problem for Euler numbers. Zbl 1130.11308
Liu, Guodong
2004
Robust stability of stochastic genetic regulatory networks with discrete and distributed delays. Zbl 1176.92021
Wang, Zhengxia; Liao, Xiaofeng; Mao, Jiali; Liu, Guodong
2009
Applications of an explicit formula for the generalized Euler numbers. Zbl 1145.11020
Liu, Guodong; Zhang, Wenpeng
2008
Summation and recurrence formula involving the central factorial numbers and zeta function. Zbl 1100.11027
Liu, Guodong
2004
Nonlinear integro-differential equations and optimal control problems on time scales. Zbl 1211.34116
Liu, G.; Xiang, X.; Peng, Y.
2011
Formulas for convolution Fibonacci numbers and polynomials. Zbl 1018.11009
Liu, Guodong
2002
Asymptotic analysis of impulsive dispersal predator-prey systems with Markov switching on finite-state space. Zbl 1416.34039
Liu, Guodong; Chang, Zhengbo; Meng, Xinzhu
2019
Quasi-min-max model predictive control for image-based visual servoing with tensor product model transformation. Zbl 1332.93119
Wang, T. T.; Xie, W. F.; Liu, G. D.; Zhao, Y. M.
2015
Necessary conditions of optimality for a class of optimal control problems on time scales. Zbl 1189.34172
Peng, Y.; Xiang, X.; Gong, Y.; Liu, G.
2009
Some identities and congruences involving a certain family of numbers. Zbl 1192.05014
Srivastava, H. M.; Liu, Guodong
2009
Identities and congruences involving higher-order Euler-Bernoulli numbers and polynomials. Zbl 0992.11021
Liu, Guodong
2001
Generating functions and generalized Euler numbers. Zbl 1204.11050
Liu, Guodong
2008
Congruences for higher-order Euler numbers. Zbl 1120.11011
Liu, Guodong
2006
The generalized central factorial numbers and higher-order Nörlund Euler-Bernoulli polynomials. Zbl 1039.11008
Liu, Guodong
2001
The discrete mean square of Dirichlet $$L$$-function at integral arguments. Zbl 1220.11102
Liu, Guodong; Wang, Nianliang; Wang, Xiaohan
2010
Some identities involving Bernoulli numbers. Zbl 1082.11012
Liu, Guodong; Luo, Hui
2005
On congruences of Euler numbers modulo an odd square. Zbl 1165.11309
Liu, Guodong
2005
Sums of products of Euler-Bernoulli-Genocchi numbers. Zbl 1053.11509
Liu, Guodong; Li, Rongxiang
2002
Higher-order multivariable Euler’s polynomial and higher-order multivariable Bernoulli’s polynomial. Zbl 0932.11012
Liu, Guodong
1998
A multiple attribute decision making method based on uncertain linguistic Heronian mean. Zbl 1299.91026
Liu, Xiaodi; Zhu, Jianjun; Liu, Guodong; Hao, Jingjing
2013
An explicit formula for higher order Bernoulli polynomials of the second kind. Zbl 1284.11044
Wang, Haiqing; Liu, Guodong
2013
A new Lie algebra and its related Liouville integrable hierarchies. Zbl 1222.37074
Wang, Hui; Wang, Xin-Zeng; Liu, Guo-Dong; Yang, Ji-Ming
2010
A recurrence formula for $$D$$ numbers $$D_{2n}^{(2n-1)}$$. Zbl 1304.11015
Liu, Guodong
2009
Some computational formulas for Nörlund numbers. Zbl 1173.11307
Liu, Guodong
2007
Degenerate Bernoulli numbers and polynomials of higher order. Zbl 1093.11014
Liu, Guodong
2005
Some identities involving the central factorial numbers and Riemann zeta function. Zbl 1058.11056
Liu, Guodong
2003
Asymptotic stability of a stochastic May mutualism system. Zbl 1451.92260
Liu, Guodong; Qi, Haokun; Chang, Zhengbo; Meng, Xinzhu
2020
A characterisation on arc-transitive graphs of prime valency. Zbl 1428.05133
Li, Jing Jian; Ling, Bo; Liu, Guodong
2018
Wiener polarity index of dendrimers. Zbl 1426.05031
Liu, Guoliang; Liu, Guodong
2018
Domains of holomorphy for irreducible admissible uniformly bounded Banach representations of simple Lie groups. Zbl 1406.32002
Liu, G.; Parthasarathy, A.
2018
Clustering instabilities in sedimenting fluid-solid systems: critical assessment of kinetic-theory-based predictions using direct numerical simulation data. Zbl 1422.76189
Fullmer, William D.; Liu, Guodong; Yin, Xiaolong; Hrenya, Christine M.
2017
Simulations of dynamic properties of particles in horizontal rotating ellipsoidal drums. Zbl 07162922
Li, Dan; Wang, Lin; Wang, Qiang; Liu, Guodong; Lu, Huilin; Zhang, Qinghong; Hassan, Muhammad
2016
Hesitant fuzzy multiple attribute decision making method based on optimization of attribute weights. Zbl 1349.90484
Liu, Xiaodi; Zhu, Jianjun; Zhang, Shitao; Liu, Guodong
2016
The $$D$$ numbers and the central factorial numbers. Zbl 1249.11032
Liu, Guodong
2011
Discrete-element method for particle capture by a body in an electrostatic field. Zbl 1202.78033
Liu, G.; Marshall, J. S.; Li, S. Q.; Yao, Q.
2010
Some computational formulas for $$D$$-Nörlund numbers. Zbl 1194.11028
Liu, Guodong
2009
An identity involving Nörlund numbers and Stirling numbers of the first kind. Zbl 1199.11055
Luo, Hui; Liu, Guodong
2008
Recurrence sequences and higher order multivariable Euler-Bernoulli polynomials. Zbl 1056.11500
Liu, Guodong
2000
On the passive stabilization of the equilibrium state of Lagrangian systems. Zbl 0990.70016
He, C.; Liu, G.; Yang, L.; Tian, Y.
1999
Determination of the number and locations of time points in transit schedule design. – Case of a single run. Zbl 0839.90042
Wirasinghe, S. C.; Liu, G.
1995
Asymptotic stability of a stochastic May mutualism system. Zbl 1451.92260
Liu, Guodong; Qi, Haokun; Chang, Zhengbo; Meng, Xinzhu
2020
Asymptotic analysis of impulsive dispersal predator-prey systems with Markov switching on finite-state space. Zbl 1416.34039
Liu, Guodong; Chang, Zhengbo; Meng, Xinzhu
2019
On the double Roman domination of graphs. Zbl 1427.05171
Yue, Jun; Wei, Meiqin; Li, Min; Liu, Guodong
2018
A characterisation on arc-transitive graphs of prime valency. Zbl 1428.05133
Li, Jing Jian; Ling, Bo; Liu, Guodong
2018
Wiener polarity index of dendrimers. Zbl 1426.05031
Liu, Guoliang; Liu, Guodong
2018
Domains of holomorphy for irreducible admissible uniformly bounded Banach representations of simple Lie groups. Zbl 1406.32002
Liu, G.; Parthasarathy, A.
2018
Extinction and persistence in mean of a novel delay impulsive stochastic infected predator-prey system with jumps. Zbl 1407.92112
Liu, Guodong; Wang, Xiaohong; Meng, Xinzhu; Gao, Shujing
2017
Clustering instabilities in sedimenting fluid-solid systems: critical assessment of kinetic-theory-based predictions using direct numerical simulation data. Zbl 1422.76189
Fullmer, William D.; Liu, Guodong; Yin, Xiaolong; Hrenya, Christine M.
2017
Simulations of dynamic properties of particles in horizontal rotating ellipsoidal drums. Zbl 07162922
Li, Dan; Wang, Lin; Wang, Qiang; Liu, Guodong; Lu, Huilin; Zhang, Qinghong; Hassan, Muhammad
2016
Hesitant fuzzy multiple attribute decision making method based on optimization of attribute weights. Zbl 1349.90484
Liu, Xiaodi; Zhu, Jianjun; Zhang, Shitao; Liu, Guodong
2016
Quasi-min-max model predictive control for image-based visual servoing with tensor product model transformation. Zbl 1332.93119
Wang, T. T.; Xie, W. F.; Liu, G. D.; Zhao, Y. M.
2015
A multiple attribute decision making method based on uncertain linguistic Heronian mean. Zbl 1299.91026
Liu, Xiaodi; Zhu, Jianjun; Liu, Guodong; Hao, Jingjing
2013
An explicit formula for higher order Bernoulli polynomials of the second kind. Zbl 1284.11044
Wang, Haiqing; Liu, Guodong
2013
Nonlinear integro-differential equations and optimal control problems on time scales. Zbl 1211.34116
Liu, G.; Xiang, X.; Peng, Y.
2011
The $$D$$ numbers and the central factorial numbers. Zbl 1249.11032
Liu, Guodong
2011
The discrete mean square of Dirichlet $$L$$-function at integral arguments. Zbl 1220.11102
Liu, Guodong; Wang, Nianliang; Wang, Xiaohan
2010
A new Lie algebra and its related Liouville integrable hierarchies. Zbl 1222.37074
Wang, Hui; Wang, Xin-Zeng; Liu, Guo-Dong; Yang, Ji-Ming
2010
Discrete-element method for particle capture by a body in an electrostatic field. Zbl 1202.78033
Liu, G.; Marshall, J. S.; Li, S. Q.; Yao, Q.
2010
Robust stability of stochastic genetic regulatory networks with discrete and distributed delays. Zbl 1176.92021
Wang, Zhengxia; Liao, Xiaofeng; Mao, Jiali; Liu, Guodong
2009
Necessary conditions of optimality for a class of optimal control problems on time scales. Zbl 1189.34172
Peng, Y.; Xiang, X.; Gong, Y.; Liu, G.
2009
Some identities and congruences involving a certain family of numbers. Zbl 1192.05014
Srivastava, H. M.; Liu, Guodong
2009
A recurrence formula for $$D$$ numbers $$D_{2n}^{(2n-1)}$$. Zbl 1304.11015
Liu, Guodong
2009
Some computational formulas for $$D$$-Nörlund numbers. Zbl 1194.11028
Liu, Guodong
2009
On congruences of Euler numbers modulo powers of two. Zbl 1204.11051
Liu, Guodong
2008
Applications of an explicit formula for the generalized Euler numbers. Zbl 1145.11020
Liu, Guodong; Zhang, Wenpeng
2008
Generating functions and generalized Euler numbers. Zbl 1204.11050
Liu, Guodong
2008
An identity involving Nörlund numbers and Stirling numbers of the first kind. Zbl 1199.11055
Luo, Hui; Liu, Guodong
2008
Some computational formulas for Nörlund numbers. Zbl 1173.11307
Liu, Guodong
2007
Explicit formulas for the Nörlund polynomials $$B_n^{(x)}$$ and $$b_n^{(x )}$$. Zbl 1161.11314
Liu, Guodong; Srivastava, H. M.
2006
Congruences for higher-order Euler numbers. Zbl 1120.11011
Liu, Guodong
2006
Some identities involving Bernoulli numbers. Zbl 1082.11012
Liu, Guodong; Luo, Hui
2005
On congruences of Euler numbers modulo an odd square. Zbl 1165.11309
Liu, Guodong
2005
Degenerate Bernoulli numbers and polynomials of higher order. Zbl 1093.11014
Liu, Guodong
2005
The solution of a problem for Euler numbers. Zbl 1130.11308
Liu, Guodong
2004
Summation and recurrence formula involving the central factorial numbers and zeta function. Zbl 1100.11027
Liu, Guodong
2004
Some identities involving the central factorial numbers and Riemann zeta function. Zbl 1058.11056
Liu, Guodong
2003
Formulas for convolution Fibonacci numbers and polynomials. Zbl 1018.11009
Liu, Guodong
2002
Sums of products of Euler-Bernoulli-Genocchi numbers. Zbl 1053.11509
Liu, Guodong; Li, Rongxiang
2002
Identities and congruences involving higher-order Euler-Bernoulli numbers and polynomials. Zbl 0992.11021
Liu, Guodong
2001
The generalized central factorial numbers and higher-order Nörlund Euler-Bernoulli polynomials. Zbl 1039.11008
Liu, Guodong
2001
Recurrence sequences and higher order multivariable Euler-Bernoulli polynomials. Zbl 1056.11500
Liu, Guodong
2000
On the passive stabilization of the equilibrium state of Lagrangian systems. Zbl 0990.70016
He, C.; Liu, G.; Yang, L.; Tian, Y.
1999
Higher-order multivariable Euler’s polynomial and higher-order multivariable Bernoulli’s polynomial. Zbl 0932.11012
Liu, Guodong
1998
Determination of the number and locations of time points in transit schedule design. – Case of a single run. Zbl 0839.90042
Wirasinghe, S. C.; Liu, G.
1995
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#### Cited by 267 Authors

 12 Liu, Guodong 9 Meng, Xinzhu 4 Ramírez, José Luis 4 Srivastava, Hari Mohan 3 Baranyi, Peter 8ed.) 3 Chang, Zhengbo 3 Cheng, Huidong 3 Simsek, Yilmaz 3 Wang, Weiping 3 Zhao, Wencai 2 Agoh, Takashi 2 Ahangar, Hossein Abdollahzadeh 2 Balasubramaniam, Pagavathigounder 2 Banerjee, Sumanta 2 Dilcher, Karl 2 Galambos, Péter 2 He, Yuan 2 Henning, Michael Anthony 2 Kang, Jung-Yoog 2 Kim, Minsoo 2 Kim, Taekyun 2 Komatsu, Takao 2 Kuti, József 2 Li, Fei 2 Peng, Yunfei 2 Poureidi, Abolfazl 2 Pradhan, Dina 2 Qi, Haokun 2 Rakkiyappan, Rajan 2 Sheikholeslami, Seyed Mahmoud 2 Shen, Shimeng 2 Song, Yi 2 Subramanian, Nagarajan 2 Vandana, Rai 2 Volkmann, Lutz 2 Wang, Hailing 2 Wang, Hui 2 Xia, Tie-Cheng 2 Xiang, Xiaoling 2 Zhang, Tongqian 2 Zhang, Wenpeng 2 Zhuo, Xianglai 1 Agarwal, Ravi P. 1 Ahmed, Ramahi 1 Ali, M. Syed 1 Balakrishnan, Ganesh Priya 1 Balakrishnan, Kaushik 1 Bayad, Abdelmejid 1 Bellan, Josette 1 Ben Nasser, Bacem 1 Bencherif, Farid 1 Benkart, Georgia M. 1 Bermudo, Sergio 1 Bian, Feifei 1 Bidgoli, Tayebeh Aliabdoli 1 Blidia, Mostafa 1 Bouchou, Ahmed 1 Boukerrioua, Khaled 1 Cai, Qingqiong 1 Cao, Huiqin 1 Cao, Jinde 1 Cao, Wenjie 1 Chang, Xiaoheng 1 Chaudhary, Sangeeta 1 Chellali, Mustapha 1 Chen, Guohui 1 Chen, Li 1 Chen, Sheng 1 Cheng, Jun 1 Cheon, Gi-Sang 1 Chi, Mengnan 1 Chikhi, Jamel 1 Choi, Sangki 1 Cvijović, Djurdje 1 Deepmala, Vandana 1 Defoort, Michael 1 Di Nardo, Elvira 1 Djemai, Mohamed 1 Donchev, Tzanko Donchev 1 Dong, Jiuxiang 1 Dong, Yulin 1 dos Santos, Iguer Luis Domini 1 Duan, Ran 1 Egunjobi, Ayotunde T. 1 El-Desouky, Beih S. 1 Fan, Aiwan 1 Fard, Omid Solaymani 1 Feng, Tao 1 Fu, Yingjie 1 Gao, Hui 1 Garg, Mridula 1 Guo, Sandang 1 Guo, Xiaoxia 1 Guo, Zhiming 1 Gupta, Pushpa Lata 1 Gupta, Ramesh Chandra 1 Hammami, Mohamed Ali 1 Han, Ping 1 Haynes, Teresa W. 1 He, Tianxiao ...and 167 more Authors
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#### Cited in 65 Serials

 14 Applied Mathematics and Computation 13 Complexity 9 Advances in Difference Equations 8 Journal of Number Theory 5 Journal of Applied Analysis and Computation 4 Discrete Applied Mathematics 4 Mathematical Problems in Engineering 3 Proceedings of the Japan Academy. Series A 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Cogent Mathematics 2 Computers & Mathematics with Applications 2 Journal of Fluid Mechanics 2 Journal of Mathematical Analysis and Applications 2 International Journal of Mathematics and Mathematical Sciences 2 Applied Mathematical Modelling 2 Russian Journal of Mathematical Physics 2 Computational and Applied Mathematics 2 The Ramanujan Journal 2 Soft Computing 2 Discrete Dynamics in Nature and Society 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Hybrid Systems 2 Discrete Mathematics, Algorithms and Applications 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Asian Journal of Control 2 Mathematics 1 Discrete Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Information Sciences 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Circuits, Systems, and Signal Processing 1 Applied Mathematics and Mechanics. (English Edition) 1 Applied Mathematics Letters 1 Linear Algebra and its Applications 1 Turkish Journal of Mathematics 1 The Electronic Journal of Combinatorics 1 Integral Transforms and Special Functions 1 International Transactions in Operational Research 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Journal of Combinatorial Optimization 1 Annals of Combinatorics 1 Acta Mathematica Sinica. English Series 1 Qualitative Theory of Dynamical Systems 1 Journal of Systems Science and Complexity 1 Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 Computational & Mathematical Methods in Medicine 1 International Journal of Biomathematics 1 Symmetry 1 Journal of Applied Mathematics & Informatics 1 Analysis and Mathematical Physics 1 Arabian Journal of Mathematics 1 ISRN Discrete Mathematics 1 Axioms 1 ISRN Combinatorics 1 Journal of Function Spaces 1 Actes des Rencontres du C.I.R.M.
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#### Cited in 36 Fields

 52 Number theory (11-XX) 38 Combinatorics (05-XX) 30 Biology and other natural sciences (92-XX) 26 Ordinary differential equations (34-XX) 19 Systems theory; control (93-XX) 17 Probability theory and stochastic processes (60-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Operations research, mathematical programming (90-XX) 7 Special functions (33-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Real functions (26-XX) 4 Computer science (68-XX) 3 Integral equations (45-XX) 3 Numerical analysis (65-XX) 3 Fluid mechanics (76-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX)