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## Li, Dingshi

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 Author ID: li.dingshi Published as: Li, Dingshi; Li, D.; Li, D. S.
 Documents Indexed: 53 Publications since 1983
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#### Co-Authors

 1 single-authored 15 Wang, Xiaohu 8 Shi, Lin 6 Wang, Bixiang 6 Xu, Daoyi 5 Long, Shujun 4 Chen, Guiling 4 Garmestani, Hamid 3 Ahzi, Saïd 3 van Gaans, Onno Ward 3 Verduyn Lunel, Sjoerd M. 3 Zhao, Junyilang 2 Liu, Wenbin 2 Lu, Kening 2 Makradi, Ahmed 2 Mikdam, A. 2 Rémond, Yves 2 Wang, Xuemin 2 Xu, Congcong 2 Zhang, Weiwei 1 Adams, Brent L. 1 Baniassadi, Majid 1 Boccuzzi, V. 1 Chen, Yuliu 1 Fan, Xiaoming 1 Fan, Yingfei 1 Ghiasi, Z. 1 Gu, Anhui 1 Hassan, Mohamed Fahim 1 He, Danhua 1 Hemeda, A. A. 1 Kiss, P. 1 Komperda, J. 1 Kuwana, M. 1 Li, Bing 1 Li, Xiliang 1 Ma, Chao 1 Mashayek, Farzad 1 Palko, J. 1 Pan, Quanru 1 Peyvan, A. 1 Shen, Jun 1 Shinozuka, Masanobu 1 Singh, Madan G. 1 Song, Qiankun 1 Wang, Ke 1 Yamaki, T. 1 Yang, Han 1 Zhang, Xinhong
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#### Serials

 4 Journal of Differential Equations 3 Journal of Mathematical Physics 3 Discrete and Continuous Dynamical Systems. Series B 2 Journal of the Franklin Institute 2 Mathematics and Computers in Simulation 2 Statistics & Probability Letters 2 Mathematics in Practice and Theory 2 Discrete and Continuous Dynamical Systems 2 Journal of Inequalities and Applications 2 Communications on Pure and Applied Analysis 1 International Journal of Control 1 International Journal of Plasticity 1 International Journal of Solids and Structures 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 1 Applied Mathematics and Computation 1 Journal of the Korean Mathematical Society 1 Stochastic Analysis and Applications 1 International Journal of Production Research 1 Optimization 1 Journal of Dynamic Systems, Measurement and Control 1 Journal of Statistical Computation and Simulation 1 IEE Proceedings. Part D. Control Theory and Applications 1 Indagationes Mathematicae. New Series 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Difference Equations and Applications 1 Mathematical Inequalities & Applications 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Journal of Sichuan Normal University. Natural Science 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Stochastics and Dynamics 1 Advances in Difference Equations 1 Nonlinear Analysis. Hybrid Systems 1 International Journal of Theoretical and Applied Multiscale Mechanics (IJTAMM) 1 IEEE Transactions on Circuits and Systems I: Regular Papers 1 Electronic Research Archive
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#### Fields

 22 Partial differential equations (35-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Probability theory and stochastic processes (60-XX) 10 Ordinary differential equations (34-XX) 8 Systems theory; control (93-XX) 5 Biology and other natural sciences (92-XX) 4 Difference and functional equations (39-XX) 4 Mechanics of deformable solids (74-XX) 3 Operator theory (47-XX) 3 Operations research, mathematical programming (90-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

37 Publications have been cited 306 times in 188 Documents Cited by Year
Limiting behavior of non-autonomous stochastic reaction-diffusion equations on thin domains. Zbl 1360.60125
Li, Dingshi; Wang, Bixiang; Wang, Xiaohu
2017
Regularity of random attractors for fractional stochastic reaction-diffusion equations on $$\mathbb{R}^n$$. Zbl 1388.35231
Gu, Anhui; Li, Dingshi; Wang, Bixiang; Yang, Han
2018
Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains. Zbl 1377.35294
Li, Dingshi; Lu, Kening; Wang, Bixiang; Wang, Xiaohu
2018
Periodic solutions of stochastic delay differential equations and applications to logistic equation and neural networks. Zbl 1316.34071
Li, Dingshi; Xu, Daoyi
2013
Existence and global $$p$$-exponential stability of periodic solution for impulsive stochastic neural networks with delays. Zbl 1244.93169
Li, Dingshi; Wang, Xiaohu; Xu, Daoyi
2012
Stability analysis of fuzzy cellular neural networks with time delay in the leakage term and impulsive perturbations. Zbl 1287.93049
Long, Shujun; Song, Qiankun; Wang, Xiaohu; Li, Dingshi
2012
Attracting and quasi-invariant sets of stochastic neutral partial functional differential equations. Zbl 1289.35341
Li, Dingshi; Xu, Daoyi
2013
The stationary distribution and ergodicity of a stochastic generalized logistic system. Zbl 1302.60093
Li, Dingshi
2013
Runge-Kutta methods for the multi-pantograph delay equation. Zbl 1070.65060
Li, D.; Liu, M. Z.
2005
Mean square exponential stability of impulsive stochastic reaction-diffusion Cohen-Grossberg neural networks with delays. Zbl 1246.35214
Li, Dingshi; He, Danhua; Xu, Daoyi
2012
Stability analysis for impulsive stochastic delay differential equations with Markovian switching. Zbl 1392.93050
Li, Bing; Li, Dingshi; Xu, Daoyi
2013
Stability results for stochastic delayed recurrent neural networks with discrete and distributed delays. Zbl 1384.34088
Chen, Guiling; Li, Dingshi; Shi, Lin; van Gaans, Onno; Verduyn Lunel, Sjoerd
2018
Upper semicontinuity of attractors of stochastic delay reaction-diffusion equations in the delay. Zbl 1388.35099
Li, Dingshi; Shi, Lin
2018
Stochastic periodic solutions of stochastic differential equations driven by Lévy process. Zbl 1319.60138
Zhang, Xinhong; Wang, Ke; Li, Dingshi
2015
Limiting dynamics for non-autonomous stochastic retarded reaction-diffusion equations on thin domains. Zbl 1419.35260
Li, Dingshi; Lu, Kening; Wang, Bixiang; Wang, Xiaohu
2019
Effective conductivity in isotropic heterogeneous media using a strong-contrast statistical continuum theory. Zbl 1169.74039
Mikdam, A.; Makradi, A.; Ahzi, S.; Garmestani, H.; Li, D. S.; Remond, Y.
2009
Asymptotic behavior of stochastic complex Ginzburg-Landau equations with deterministic non-autonomous forcing on thin domains. Zbl 1404.35049
Li, Dingshi; Wang, Xiaohu
2019
Upper semicontinuity of random attractors of stochastic discrete complex Ginzburg-Landau equations with time-varying delays in the delay. Zbl 1405.39002
Li, Dingshi; Shi, Lin
2018
Optimisation of traceability and operations planning: an integrated model for perishable food production. Zbl 1198.90044
Wang, X.; Li, D.; O’Brien, C.
2009
Exponential stability of impulsive stochastic partial differential equations with delays. Zbl 1379.60071
Li, Dingshi; Fan, Xiaoming
2017
Disturbance decoupling by feedforward and preview control. Zbl 0512.93029
Imai, H.; Shinozuka, M.; Yamaki, T.; Li, D.; Kuwana, M.
1983
A texture evolution model in cubic-orthotropic polycrystalline system. Zbl 1148.74319
Li, D. S.; Garmestani, H.; Adams, B. L.
2005
Impulsive-integral inequalities for attracting and quasi-invariant sets of impulsive stochastic partial differential equations with infinite delays. Zbl 1297.60043
Wang, Li; Li, Dingshi
2013
Existence and global attractivity of periodic solution for impulsive stochastic Volterra-Levin equations. Zbl 1340.34145
Li, Dingshi; Xu, Daoyi
2012
Long term behavior of stochastic discrete complex Ginzburg-Landau equations with time delays in weighted spaces. Zbl 1461.35057
Li, Dingshi; Shi, Lin; Wang, Xiaohu
2019
Attracting and invariant sets of non-autonomous reaction-diffusion neural networks with time-varying delays. Zbl 1254.35116
Long, Shujun; Wang, Xiaohu; Li, Dingshi
2012
New approach to failure detection in large-scale systems. Zbl 0518.93009
Singh, M. G.; Hassan, M. F.; Chen, Y. L.; Li, D. S.; Pan, Q. R.
1983
Difference inequality for stability of impulsive difference equations with distributed delays. Zbl 1267.39011
Li, Dingshi; Long, Shujun; Wang, Xiaohu
2011
Stability of nonlinear neutral delay differential equations with variable delays. Zbl 1370.34127
Chen, Guiling; Li, Dingshi; van Gaans, Onno; Lunel, Sjoerd Verduyn
2017
Random dynamics of fractional stochastic reaction-diffusion equations on $$\mathbb{R}^n$$ without uniqueness. Zbl 1418.35233
Li, Dingshi; Wang, Bixiang; Wang, Xiaohu
2019
Stability results for nonlinear functional differential equations using fixed point methods. Zbl 1388.34064
Chen, Guiling; Li, Dingshi; van Gaans, Onno; Verduyn Lunel, Sjoerd
2018
Random attractors for the stochastic nonclassical diffusion equation on unbounded domains. Zbl 1389.35088
Li, Dingshi; Fan, Yingfei
2017
Limiting dynamical behavior of random fractional Fitzhugh-Nagumo systems driven by a Wong-Zakai approximation process. Zbl 1439.35586
Li, Dingshi; Wang, Xiaohu; Zhao, Junyilang
2020
Dynamics of stochastic FitzHugh-Nagumo systems with additive noise on unbounded thin domains. Zbl 1439.35592
Shi, Lin; Li, Dingshi; Li, Xiliang; Wang, Xiaohu
2020
A new approximation for the three-point probability function. Zbl 1176.74213
Mikdam, A.; Makradi, A.; Ahzi, S.; Garmestani, H.; Li, D. S.; Remond, Y.
2009
Semi-inverse Monte Carlo reconstruction of two-phase heterogeneous material using two-point functions. Zbl 1274.74035
Garmestani, H.; Baniassadi, M.; Li, D. S.; Fathi, M.; Ahzi, S.
2009
Attracting and quasi-invariant sets for a class of impulsive stochastic difference equations. Zbl 1267.39014
Li, Dingshi; Long, Shujun
2011
Limiting dynamical behavior of random fractional Fitzhugh-Nagumo systems driven by a Wong-Zakai approximation process. Zbl 1439.35586
Li, Dingshi; Wang, Xiaohu; Zhao, Junyilang
2020
Dynamics of stochastic FitzHugh-Nagumo systems with additive noise on unbounded thin domains. Zbl 1439.35592
Shi, Lin; Li, Dingshi; Li, Xiliang; Wang, Xiaohu
2020
Limiting dynamics for non-autonomous stochastic retarded reaction-diffusion equations on thin domains. Zbl 1419.35260
Li, Dingshi; Lu, Kening; Wang, Bixiang; Wang, Xiaohu
2019
Asymptotic behavior of stochastic complex Ginzburg-Landau equations with deterministic non-autonomous forcing on thin domains. Zbl 1404.35049
Li, Dingshi; Wang, Xiaohu
2019
Long term behavior of stochastic discrete complex Ginzburg-Landau equations with time delays in weighted spaces. Zbl 1461.35057
Li, Dingshi; Shi, Lin; Wang, Xiaohu
2019
Random dynamics of fractional stochastic reaction-diffusion equations on $$\mathbb{R}^n$$ without uniqueness. Zbl 1418.35233
Li, Dingshi; Wang, Bixiang; Wang, Xiaohu
2019
Regularity of random attractors for fractional stochastic reaction-diffusion equations on $$\mathbb{R}^n$$. Zbl 1388.35231
Gu, Anhui; Li, Dingshi; Wang, Bixiang; Yang, Han
2018
Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains. Zbl 1377.35294
Li, Dingshi; Lu, Kening; Wang, Bixiang; Wang, Xiaohu
2018
Stability results for stochastic delayed recurrent neural networks with discrete and distributed delays. Zbl 1384.34088
Chen, Guiling; Li, Dingshi; Shi, Lin; van Gaans, Onno; Verduyn Lunel, Sjoerd
2018
Upper semicontinuity of attractors of stochastic delay reaction-diffusion equations in the delay. Zbl 1388.35099
Li, Dingshi; Shi, Lin
2018
Upper semicontinuity of random attractors of stochastic discrete complex Ginzburg-Landau equations with time-varying delays in the delay. Zbl 1405.39002
Li, Dingshi; Shi, Lin
2018
Stability results for nonlinear functional differential equations using fixed point methods. Zbl 1388.34064
Chen, Guiling; Li, Dingshi; van Gaans, Onno; Verduyn Lunel, Sjoerd
2018
Limiting behavior of non-autonomous stochastic reaction-diffusion equations on thin domains. Zbl 1360.60125
Li, Dingshi; Wang, Bixiang; Wang, Xiaohu
2017
Exponential stability of impulsive stochastic partial differential equations with delays. Zbl 1379.60071
Li, Dingshi; Fan, Xiaoming
2017
Stability of nonlinear neutral delay differential equations with variable delays. Zbl 1370.34127
Chen, Guiling; Li, Dingshi; van Gaans, Onno; Lunel, Sjoerd Verduyn
2017
Random attractors for the stochastic nonclassical diffusion equation on unbounded domains. Zbl 1389.35088
Li, Dingshi; Fan, Yingfei
2017
Stochastic periodic solutions of stochastic differential equations driven by Lévy process. Zbl 1319.60138
Zhang, Xinhong; Wang, Ke; Li, Dingshi
2015
Periodic solutions of stochastic delay differential equations and applications to logistic equation and neural networks. Zbl 1316.34071
Li, Dingshi; Xu, Daoyi
2013
Attracting and quasi-invariant sets of stochastic neutral partial functional differential equations. Zbl 1289.35341
Li, Dingshi; Xu, Daoyi
2013
The stationary distribution and ergodicity of a stochastic generalized logistic system. Zbl 1302.60093
Li, Dingshi
2013
Stability analysis for impulsive stochastic delay differential equations with Markovian switching. Zbl 1392.93050
Li, Bing; Li, Dingshi; Xu, Daoyi
2013
Impulsive-integral inequalities for attracting and quasi-invariant sets of impulsive stochastic partial differential equations with infinite delays. Zbl 1297.60043
Wang, Li; Li, Dingshi
2013
Existence and global $$p$$-exponential stability of periodic solution for impulsive stochastic neural networks with delays. Zbl 1244.93169
Li, Dingshi; Wang, Xiaohu; Xu, Daoyi
2012
Stability analysis of fuzzy cellular neural networks with time delay in the leakage term and impulsive perturbations. Zbl 1287.93049
Long, Shujun; Song, Qiankun; Wang, Xiaohu; Li, Dingshi
2012
Mean square exponential stability of impulsive stochastic reaction-diffusion Cohen-Grossberg neural networks with delays. Zbl 1246.35214
Li, Dingshi; He, Danhua; Xu, Daoyi
2012
Existence and global attractivity of periodic solution for impulsive stochastic Volterra-Levin equations. Zbl 1340.34145
Li, Dingshi; Xu, Daoyi
2012
Attracting and invariant sets of non-autonomous reaction-diffusion neural networks with time-varying delays. Zbl 1254.35116
Long, Shujun; Wang, Xiaohu; Li, Dingshi
2012
Difference inequality for stability of impulsive difference equations with distributed delays. Zbl 1267.39011
Li, Dingshi; Long, Shujun; Wang, Xiaohu
2011
Attracting and quasi-invariant sets for a class of impulsive stochastic difference equations. Zbl 1267.39014
Li, Dingshi; Long, Shujun
2011
Effective conductivity in isotropic heterogeneous media using a strong-contrast statistical continuum theory. Zbl 1169.74039
Mikdam, A.; Makradi, A.; Ahzi, S.; Garmestani, H.; Li, D. S.; Remond, Y.
2009
Optimisation of traceability and operations planning: an integrated model for perishable food production. Zbl 1198.90044
Wang, X.; Li, D.; O&rsquo;Brien, C.
2009
A new approximation for the three-point probability function. Zbl 1176.74213
Mikdam, A.; Makradi, A.; Ahzi, S.; Garmestani, H.; Li, D. S.; Remond, Y.
2009
Semi-inverse Monte Carlo reconstruction of two-phase heterogeneous material using two-point functions. Zbl 1274.74035
Garmestani, H.; Baniassadi, M.; Li, D. S.; Fathi, M.; Ahzi, S.
2009
Runge-Kutta methods for the multi-pantograph delay equation. Zbl 1070.65060
Li, D.; Liu, M. Z.
2005
A texture evolution model in cubic-orthotropic polycrystalline system. Zbl 1148.74319
Li, D. S.; Garmestani, H.; Adams, B. L.
2005
Disturbance decoupling by feedforward and preview control. Zbl 0512.93029
Imai, H.; Shinozuka, M.; Yamaki, T.; Li, D.; Kuwana, M.
1983
New approach to failure detection in large-scale systems. Zbl 0518.93009
Singh, M. G.; Hassan, M. F.; Chen, Y. L.; Li, D. S.; Pan, Q. R.
1983
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#### Cited by 293 Authors

 14 Li, Dingshi 13 Li, Yangrong 13 Wang, Renhai 11 Wang, Bixiang 10 Shi, Lin 8 Jiang, Daqing 8 Li, Fuzhi 8 Shu, Ji 7 Wang, Xiaohu 6 Al-saedi, Ahmed Eid Salem 5 Jian, Jigui 5 Rao, Ruofeng 5 Zhong, Shou-Ming 4 Hayat, Tasawar 4 Li, Yongkun 4 Lv, Jingliang 4 Yuan, Sanling 4 Zhang, Xinhong 3 Balasubramaniam, Pagavathigounder 3 Cao, Jinde 3 Chen, Guiling 3 Li, Zhi 3 Pu, Zhilin 3 Xu, Liguang 3 Xu, Liping 3 Zhang, Jian 3 Zhao, Dianli 3 Zhao, Junyilang 3 Zhu, Quanxin 3 Zuo, Wenjie 2 Bai, Qianqian 2 Benhadri, Mimia 2 Chen, Pengyu 2 Chen, Zhang 2 Gao, Lijun 2 He, Danhua 2 Hu, Hongxiao 2 Huang, Xin 2 Huang, Zhehao 2 Kao, Yonggui 2 Kloeden, Peter Eris 2 Lahrouz, Aadil 2 Li, Linyan 2 Li, Wenxue 2 Li, Xiliang 2 Liu, Heng 2 Liu, Zhengrong 2 Long, Shujun 2 Lu, Jianquan 2 Lu, Kening 2 Luo, Jiaowan 2 Settati, Adel 2 Sui, Meiyu 2 Wang, Baoxian 2 Wang, Fengling 2 Wang, Ke 2 Wang, Ling 2 Wang, Linshan 2 Wang, Peiguang 2 Wang, Shulin 2 Wang, Xuemin 2 Wang, Yejuan 2 Xu, Daoyi 2 Xu, Dongmei 2 Xu, Shengyuan 2 Yang, Li 2 Yang, Shuang 2 Yang, Yuan 2 Yao, Fengqi 2 Zhang, Xuping 2 Zhang, Yijin 2 Zhao, Hongyong 2 Zhao, Wenqiang 2 Zhao, Yu 2 Zou, Xiaoling 1 Agarwal, Ravi P. 1 Ahmad, Bashir 1 Ali, M. Syed 1 Aouiti, Chaouki 1 Arunkumar, Arumugham 1 Atan, Özkan 1 Bao, Junyan 1 Ben Gharbia, Imen 1 Bian, Feifei 1 Breton, Jean-Christophe 1 Cao, Yang 1 Cao, Zhengbao 1 Chen, Huabin 1 Chen, Jiejie 1 Chen, Yiju 1 Cheng, Pei 1 Cheng, Xiwang 1 Dai, Lihua 1 Dai, Zhenlei 1 Deng, Feiqi 1 Dharani, S. 1 Ding, Xiaohua 1 Diop, Mamadou Abdoul 1 Du, Bo 1 Duan, Pengju ...and 193 more Authors
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#### Cited in 76 Serials

 12 Journal of Mathematical Physics 12 Discrete and Continuous Dynamical Systems. Series B 10 Applied Mathematics and Computation 9 Advances in Difference Equations 7 Journal of Differential Equations 7 Applied Mathematics Letters 6 Journal of the Franklin Institute 6 Journal of Mathematical Analysis and Applications 6 Mathematical Problems in Engineering 6 Communications in Nonlinear Science and Numerical Simulation 6 Nonlinear Analysis. Hybrid Systems 4 Stochastic Analysis and Applications 4 Stochastics and Dynamics 3 Computers & Mathematics with Applications 3 Physica A 3 Mathematics and Computers in Simulation 3 Complexity 3 Discrete and Continuous Dynamical Systems 3 Discrete Dynamics in Nature and Society 3 Frontiers of Mathematics in China 2 Applicable Analysis 2 International Journal of Control 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 Chaos, Solitons and Fractals 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Statistics & Probability Letters 2 Journal of Dynamics and Differential Equations 2 Differential Equations and Dynamical Systems 2 Nonlinear Dynamics 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Communications on Pure and Applied Analysis 2 Boundary Value Problems 2 Journal of Applied Analysis and Computation 2 Electronic Research Archive 1 Physics Letters. A 1 Bulletin of Mathematical Biology 1 Theory of Probability and its Applications 1 Automatica 1 Information Sciences 1 Journal of Computational and Applied Mathematics 1 Mathematica Slovaca 1 SIAM Journal on Control and Optimization 1 Acta Applicandae Mathematicae 1 Physica D 1 Neural Networks 1 Stochastic Processes and their Applications 1 International Journal of Robust and Nonlinear Control 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 The Journal of Analysis 1 Topological Methods in Nonlinear Analysis 1 Computational and Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 Random Operators and Stochastic Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Difference Equations and Applications 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Vietnam Journal of Mathematics 1 Taiwanese Journal of Mathematics 1 Methodology and Computing in Applied Probability 1 Dynamical Systems 1 Journal of Systems Science and Complexity 1 Applied Mathematics E-Notes 1 Applications and Applied Mathematics 1 Computational & Mathematical Methods in Medicine 1 Banach Journal of Mathematical Analysis 1 International Journal of Biomathematics 1 Journal of Nonlinear Science and Applications 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 ISRN Mathematical Analysis 1 Evolution Equations and Control Theory 1 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 International Journal of Systems Science. Principles and Applications of Systems and Integration
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#### Cited in 25 Fields

 83 Probability theory and stochastic processes (60-XX) 70 Partial differential equations (35-XX) 65 Ordinary differential equations (34-XX) 48 Dynamical systems and ergodic theory (37-XX) 48 Biology and other natural sciences (92-XX) 39 Systems theory; control (93-XX) 6 Difference and functional equations (39-XX) 6 Operator theory (47-XX) 5 Real functions (26-XX) 4 Integral equations (45-XX) 3 Computer science (68-XX) 3 Fluid mechanics (76-XX) 2 Combinatorics (05-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)