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## Yu, Jian-She

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 Author ID: yu.jian-she Published as: Ju, J. S.; Yu, J.; Yu, J. S.; Yu, Jiaanshe; Yu, Jian She; Yu, Jian-She; Yu, JianShe; Yu, Jianshe External Links: dblp
 Documents Indexed: 322 Publications since 1988
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#### Co-Authors

 27 single-authored 54 Wang, Zhi-Cheng 37 Tang, Xianhua 25 Guo, Zhiming 21 Huang, Lihong 21 Zhou, Zhan 19 Chen, Mingpo 19 Tang, Moxun 16 Zhang, Binggen 14 Qian, Xiangzheng 14 Zheng, Bo 10 Ma, Shiwang 10 Shen, Jianhua 8 Jiao, Feng 8 Liu, Bing 7 Hu, Linchao 7 Huang, Mugen 7 So, Joseph Wai-Hung 7 Sun, Qiwen 6 Lin, Genghong 6 Shi, Bao 6 Zhang, Zhengqiu 5 Cai, Xiaochun 5 Huang, Lifang 5 Wen, Xianzhang 4 Chen, Shanshan 4 He, Zhimin 4 Xiao, Huafeng 3 Bin, Honghua 3 Chen, Yuming 3 Lalli, Bikkar S. 3 Li, Jia 3 Luo, Jiaowan 3 Ren, Jian 3 Wang, Lin 3 Wen, Kunwen 3 Zhu, Benshi 3 Zou, Xingfu 2 Chen, Sitong 2 Dai, Binxiang 2 Erbe, Lynn Harry 2 Felmer, Patricio L. 2 Hui, Yuanxian 2 Krawcewicz, Wieslaw Z. 2 Li, Qiuying 2 Lin, Xiaoyan 2 Liu, Bin 2 Liu, Xinzhi 2 Long, Yuhua 2 Ma, Manjun 2 Quaas, Alexander 2 Shen, Zupei 2 Wu, Jianhong 2 Xi, Zhiyong 2 Zhang, Ruyuan 1 Bai, Dingyong 1 Balanov, Zalman I. 1 Chen, Zhengyi 1 Cheng, Sui Sun 1 Deng, Xiaoqing 1 Fan, Meng 1 Guo, Wenliang 1 Han, Maoan 1 Ji, Juping 1 Kang, Yun 1 Kuang, Juhong 1 Lei, Guanglong 1 Li, Jia 1 Li, Jia 1 Li, Jingwen 1 Li, Yanyan 1 Liao, Liusheng 1 Liao, Liushing 1 Liu, Bin 1 Liu, Kaiyu 1 Liu, Lanzhe 1 Liu, Xiaoping 1 Liu, Xuejie 1 Peng, Donghai 1 Qian, Chuanxi 1 Qian, Xiangzhen 1 Qiu, Junxiong 1 Shi, Haiping 1 Sun, Weiyuan 1 Wang, Qi 1 Wang, Qi 1 Wang, Qi 1 Wang, Zhi Cheng 1 Wu, Zhongdao 1 Xie, Qilin 1 Yan, Jurang 1 Yang, Cui 1 Yuan, Zhanjiang 1 Yuan, Ziqing 1 Yuana, Ziqing 1 Zeng, Deguang 1 Zhang, Heping 1 Zhang, Yousheng 1 Zheng, Banggui 1 Zhou, Tianshou 1 Zhou, Yong
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#### Serials

 24 Journal of Mathematical Analysis and Applications 18 Computers & Mathematics with Applications 15 Journal of Differential Equations 14 Journal of Hunan University 11 Acta Mathematica Sinica 11 Annals of Differential Equations 8 Chinese Annals of Mathematics. Series A 8 Mathematica Applicata 8 Applied Mathematics. Series A (Chinese Edition) 8 Differential Equations and Dynamical Systems 7 Journal of Dynamics and Differential Equations 6 Science in China. Series A 6 Panamerican Mathematical Journal 5 Funkcialaj Ekvacioj. Serio Internacia 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal of Hunan University. Natural Sciences 5 Discrete and Continuous Dynamical Systems. Series B 4 Applied Mathematics and Computation 4 Acta Mathematicae Applicatae Sinica 4 Applied Mathematics Letters 4 Dynamic Systems and Applications 4 SIAM Journal on Applied Mathematics 4 Journal of Difference Equations and Applications 4 Science China. Mathematics 4 Journal of Theoretical Biology 3 Bulletin of the Australian Mathematical Society 3 Journal of Mathematical Biology 3 Journal of the London Mathematical Society. Second Series 3 Soochow Journal of Mathematics 3 Journal of Systems Science and Mathematical Sciences 3 Hunan Annals of Mathematics 3 Applied Mathematics. Series B (English Edition) 3 Discrete and Continuous Dynamical Systems 3 Mathematical Sciences Research Hot-Line 3 Mathematical Biosciences and Engineering 2 Applicable Analysis 2 Mathematical Biosciences 2 Bulletin of Mathematical Biology 2 Czechoslovak Mathematical Journal 2 Hiroshima Mathematical Journal 2 Hokkaido Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Journal of Mathematical Research & Exposition 2 Bulletin of the Institute of Mathematics. Academia Sinica 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Acta Mathematica Sinica. New Series 2 Chinese Science Bulletin 2 Applied Mathematics 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 The ANZIAM Journal 2 Communications on Pure and Applied Analysis 2 Advances in Difference Equations 2 Journal of Biological Dynamics 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Applied Analysis and Computation 2 Nonlinear Analysis. Theory, Methods & Applications 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical and Physical Sciences 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Annales Polonici Mathematici 1 Bulletin of the Calcutta Mathematical Society 1 Bulletin of the London Mathematical Society 1 Chinese Journal of Mathematics 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Tamkang Journal of Mathematics 1 Theoretical Population Biology 1 Tohoku Mathematical Journal. Second Series 1 Natural Science Journal of Xiangtan University 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 Radovi Matematički 1 Mathematical and Computer Modelling 1 Differential and Integral Equations 1 Acta Mathematica Scientia 1 Electronic Journal of Differential Equations (EJDE) 1 Methods and Applications of Analysis 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Chaos 1 The Korean Journal of Computational & Applied Mathematics 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Mathematical Medicine and Biology 1 Boundary Value Problems 1 Journal of Fixed Point Theory and Applications 1 International Journal of Biomathematics 1 International Journal of Qualitative Theory of Differential Equations and Applications 1 Advances in Nonlinear Analysis
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#### Fields

 192 Ordinary differential equations (34-XX) 90 Difference and functional equations (39-XX) 61 Biology and other natural sciences (92-XX) 24 Partial differential equations (35-XX) 19 Dynamical systems and ergodic theory (37-XX) 14 Operator theory (47-XX) 10 Probability theory and stochastic processes (60-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

234 Publications have been cited 2,927 times in 1,455 Documents Cited by Year
The existence of periodic and subharmonic solutions of subquadratic second order difference equations. Zbl 1046.39005
Guo, Zhiming; Yu, Jianshe
2003
Existence of periodic and subharmonic solutions for second-order superlinear difference equations. Zbl 1215.39001
Guo, Zhiming; Yu, Jianshe
2003
Periodic solutions of higher-dimensional discrete systems. Zbl 1073.39010
Zhou, Zhan; Yu, Jianshe; Guo, Zhiming
2004
On boundary value problems for a discrete generalized Emden–Fowler equation. Zbl 1112.39011
Yu, Jianshe; Guo, Zhiming
2006
Homoclinic solutions in periodic difference equations with saturable nonlinearity. Zbl 1239.39010
Zhou, Zhan; Yu, Jianshe; Chen, Yuming
2011
On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems. Zbl 1200.39001
Zhou, Zhan; Yu, Jianshe
2010
Subharmonic solutions with prescribed minimal period of a discrete forced pendulum equation. Zbl 1067.39022
Yu, Jianshe; Long, Yuhua; Guo, Zhiming
2004
Periodic solutions of second order self-adjoint difference equations. Zbl 1073.39009
Yu, Jianshe; Guo, Zhiming; Zou, Xingfu
2005
Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems. Zbl 1053.39011
Guo, Zhiming; Yu, Jianshe
2003
Periodic boundary value problem for first-order impulsive functional differential equations. Zbl 1004.34052
He, Zhimin; Yu, Jianshe
2002
Essential components of the set of weakly Pareto-Nash equilibrium points. Zbl 1016.91008
Yang, H.; Yu, J.
2002
Multiplicity results for periodic solutions to delay differential equations via critical point theory. Zbl 1095.34043
Guo, Zhiming; Yu, Jianshe
2005
Global attractivity and uniform persistence in Nicholson’s blowflies. Zbl 0869.34056
So, Joseph W.-H.; Yu, J. S.
1994
Modeling Wolbachia spread in mosquitoes through delay differential equations. Zbl 1303.92124
Zheng, Bo; Tang, Moxun; Yu, Jianshe
2014
Oscillation of delay difference equation. Zbl 0937.39012
Tang, X. H.; Yu, J. S.
1999
Coincidence degree and periodic solutions of Duffing equations. Zbl 0931.34048
Ma, Shiwang; Wang, Zhicheng; Yu, Jianshe
1998
Stability theorem for delay differential equations with impulses. Zbl 0853.34068
Yu, J. S.; Zhang, B. G.
1996
Oscillations of delay difference equations with oscillating coefficients. Zbl 0787.39004
Yu, J. S.; Zhang, B. G.; Qian, X. Z.
1993
Existence theorems for second-order discrete boundary value problems. Zbl 1113.39019
Cai, Xiaochun; Yu, Jianshe
2006
On the existence of gap solitons in a periodic discrete nonlinear Schrödinger equation with saturable nonlinearity. Zbl 1193.35176
Zhou, Zhan; Yu, Jianshe; Chen, Yuming
2010
Oscillation of delay difference equations. Zbl 0729.39003
Yu, J. S.; Zhang, B. G.; Wang, Z. C.
1994
Solvability of multi-point boundary value problem at resonance. III. Zbl 1054.34033
Liu, Bing; Yu, Jianshe
2002
Existence of solution of $$m$$-point boundary value problems of second-order differential systems with impulses. Zbl 1032.34024
Liu, Bing; Yu, Jianshe
2002
Asymptotic stability for a linear difference equation with variable delay. Zbl 0933.39009
Yu, J. S.
1998
Oscillations of differential equations with deviating arguments. Zbl 0845.34082
Yu, J. S.; Wang, Z. C.; Zhang, B. G.; Qian, X. Z.
1992
On the existence of positive solutions of fourth-order difference equations. Zbl 1068.39008
He, Zhimin; Yu, Jianshe
2005
Applications of critical point theory to difference equations. Zbl 1067.39007
Guo, Zhiming; Yu, Jianshe
2004
Periodic boundary value problem for first-order impulsive ordinary differential equations. Zbl 1016.34023
He, Zhimin; Yu, Jianshe
2002
Wolbachia infection dynamics by reaction-diffusion equations. Zbl 1337.35156
Huang, Mugen; Tang, Moxun; Yu, Jianshe
2015
Asymptotic stability for scalar delay differential equations. Zbl 0930.34056
So, Joseph W.-H.; Yu, J. S.; Chen, Ming-Po
1996
The persistence of nonoscillatory solutions of delay differential equations under impulsive perturbations. Zbl 0806.34060
Chen, Ming-Po; Yu, J. S.; Shen, J. H.
1994
Some further results on oscillation of neutral differential equations. Zbl 0729.34051
Yu, Jianshe; Wang, Zhicheng
1992
Homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity. Zbl 1284.39006
Zhou, Zhan; Yu, Jian She
2013
Periodic solutions of a discrete Hamiltonian system with a change of sign in the potential. Zbl 1106.39022
Yu, Jianshe; Deng, Xiaoqing; Guo, Zhiming
2006
Nontrivial periodic solutions for asymptotically linear resonant difference problem. Zbl 1103.39005
Bin, Hong-Hua; Yu, Jian-She; Guo, Zhi-Ming
2006
Solvability of multi-point boundary value problems at resonance. I. Zbl 1021.34013
Liu, Bing; Yu, Jianshe
2002
Oscillation and nonoscillation of neutral difference equations with positive and negative coefficients. Zbl 0958.39016
Tang, X. H.; Yu, J. S.; Peng, D. H.
2000
Global stability in a logistic equation with piecewise constant arguments. Zbl 0833.34075
So, Joseph W.-H.; Yu, J. S.
1995
Asymptotic behavior and oscillation in neutral delay difference equations. Zbl 0808.34083
Yu, J. S.; Wang, Z. C.
1994
Existence of periodic solutions for fourth-order difference equations. Zbl 1086.39002
Cai, Xiaochun; Yu, Jianshe; Guo, Zhiming
2005
Wolbachia spread dynamics in stochastic environments. Zbl 1343.92482
Hu, Linchao; Huang, Mugen; Tang, Moxun; Yu, Jianshe; Zheng, Bo
2015
Homoclinic orbits for nonlinear difference equations containing both advance and retardation. Zbl 1160.39311
Yu, Jianshe; Shi, Haiping; Guo, Zhiming
2009
Existence of periodic solutions for a $$2n$$th-order nonlinear difference equation. Zbl 1153.39302
Cai, Xiaochun; Yu, Jianshe
2007
Boundary value problems of discrete generalized Emden-Fowler equation. Zbl 1117.39014
Yu, Jianshe; Guo, Zhiming
2006
An abstract existence theorem at resonance and its applications. Zbl 0940.34056
Ma, Shiwang; Wang, Zhicheng; Yu, Jianshe
1998
A stability criterion for a neutral difference equation with delay. Zbl 0812.39004
Yu, Jian-She; Cheng, Sui-Sun
1994
Wolbachia spreading dynamics in mosquitoes with imperfect maternal transmission. Zbl 1392.92113
Zheng, Bo; Tang, Moxun; Yu, Jianshe; Qiu, Junxiong
2018
Periodic solutions of a $$2n$$th-order nonlinear difference equation. Zbl 1232.39019
Zhou, Zhan; Yu, Jianshe; Chen, Yuming
2010
A further result on the oscillation of delay difference equations. Zbl 0976.39005
Tang, X. H.; Yu, J. S.
1999
Oscillation in neutral delay difference equations with variable coefficients. Zbl 0819.39004
Chen, M.-P.; Lalli, B. S.; Yu, J. S.
1995
Multiple periodic solutions for discrete Hamiltonian systems. Zbl 1115.39017
Yu, Jianshe; Bin, Honghua; Guo, Zhiming
2007
Multiplicity results for periodic solutions to second-order difference equations. Zbl 1109.39007
Guo, Zhiming; Yu, Jianshe
2006
The existence of periodic and subharmonic solutions to subquadratic discrete Hamiltonian systems. Zbl 1081.39019
Zhou, Zhan; Yu, Jianshe; Guo, Zhiming
2005
On the existence of solution for the periodic boundary value problems with p-Laplacian operator. Zbl 1050.34012
Liu, Bin; Yu, Jianshe
2003
On the stability and uniform persistence of a discrete model of Nicholson’s blowflies. Zbl 0834.39009
So, Joseph W.-H.; Yu, J. S.
1995
Oscillation and nonoscillation of neutral delay differential equations. Zbl 0729.34052
Yu, Jianshe; Wang, Zhicheng; Qian, Chuanxi
1992
Modeling Wolbachia infection in mosquito population via discrete dynamical models. Zbl 07143857
Yu, Jianshe; Zheng, Bo
2019
Qualitative analysis for a Wolbachia infection model with diffusion. Zbl 1344.35156
Huang, MuGen; Yu, JianShe; Hu, LinChao; Zheng, Bo
2016
Stability and bifurcations in a nonlocal delayed reaction-diffusion population model. Zbl 1325.35003
Chen, Shanshan; Yu, Jianshe
2016
Global attractivity for a population model with time delay. Zbl 0844.34080
So, Joseph W.-H.; Yu, J. S.
1995
Modeling mosquito population suppression based on delay differential equations. Zbl 1401.92171
Yu, Jianshe
2018
Existence of multiple positive periodic solutions for nonlinear functional difference equations. Zbl 1070.39019
Ma, Manjun; Yu, Jianshe
2005
Oscillation in first order neutral differential equations with ”integrally small” coefficients. Zbl 0814.34062
Yu, J. S.; Yan, Jurang
1994
Oscillations of delay difference equations in a critical state. Zbl 0973.39009
Tang, X. H.; Yu, J. S.
2000
Linearized oscillation theorems for certain nonlinear delay partial difference equations. Zbl 0907.39017
Zhang, B. G.; Yu, J. S.
1998
On the uniform stability for a ”food-limited” population model with time delay. Zbl 0844.34079
So, Joseph W.-H.; Yu, J. S.
1995
Oscillations of delay difference equations. Zbl 0958.39015
Tang, X. H.; Yu, J. S.
2000
On the existence of asymptotically decaying positive solutions of second order neutral differential equations. Zbl 0754.34075
Zhang, B. G.; Yu, J. S.
1992
Stability and bifurcation on predator-prey systems with nonlocal prey competition. Zbl 1386.35200
Chen, Shanshan; Yu, Jianshe
2018
Existence theorems of periodic solutions for second-order nonlinear difference equations. Zbl 1146.39006
Cai, Xiaochun; Yu, Jianshe
2008
Asymptotic behavior of delay difference systems. Zbl 0998.39004
Zhou, Zhan; Yu, Jianshe; Huang, Lihong
2001
Ground state solutions of Nehari-Pankov type for Schrödinger equations with local super-quadratic conditions. Zbl 1437.35224
Tang, Xianhua; Chen, Sitong; Lin, Xiaoyan; Yu, Jianshe
2020
The threshold infection level for Wolbachia invasion in random environments. Zbl 1406.34072
Hu, Linchao; Tang, Moxun; Wu, Zhongdao; Xi, Zhiyong; Yu, Jianshe
2019
Assessing the efficiency of Wolbachia driven Aedes mosquito suppression by delay differential equations. Zbl 1400.92490
Huang, Mugen; Luo, Jiaowan; Hu, Linchao; Zheng, Bo; Yu, Jianshe
2018
Multiple positive solutions for resonant difference equations. Zbl 1171.39303
Zhu, Benshi; Yu, Jianshe
2009
Stability for nonlinear delay differential equations of unstable type under impulsive perturbations. Zbl 0992.34055
Yu, J. S.
2001
Global asymptotic stability of nonautonomous mathematical ecological equations with distributed deviating arguments. Zbl 1027.34088
Luo, Jiaowan; Yu, Jianshe
1998
Asymptotic behavior of solutions of neutral differential equations with positive and negative coefficients. Zbl 0844.34078
Shen, J. H.; Yu, J. S.
1995
Neutral delay differential equations with positive and negative coefficients. Zbl 0738.34040
Yu, Jianshe
1991
Dynamics of a diffusive predator-prey system with a nonlinear growth rate for the predator. Zbl 1335.35114
Chen, Shanshan; Yu, Jianshe
2016
Multiplicity results on period solutions to higher dimensional differential equations with multiple delays. Zbl 1243.34101
Guo, Zhiming; Yu, Jianshe
2011
Explicit conditions for stability of nonlinear scalar delay differential equations with impulses. Zbl 0986.34063
Yu, J. S.
2001
Oscillations of first order neutral differential equations with variable coefficients. Zbl 0807.34081
Chen, Ming-Po; Yu, J. S.; Huang, L. H.
1994
Oscillation criteria for second order nonlinear difference equations. Zbl 0742.39003
Wang, Zhicheng; Yu, Jianshe
1991
Stability analysis of a reaction-diffusion equation with spatiotemporal delay and Dirichlet boundary condition. Zbl 1350.35026
Chen, Shanshan; Yu, Jianshe
2016
Feedback regulation of a logistic growth. Zbl 0848.34060
Lalli, B. S.; Yu, J. S.; Chen, Ming-Po
1996
Nontrivial solutions for Schrödinger equation with local super-quadratic conditions. Zbl 1414.35062
Tang, Xianhua; Lin, Xiaoyan; Yu, Jianshe
2019
Stability theorem for delay differential equations with impulses. Zbl 1030.34070
Tang, X. H.; He, Zhimin; Yu, J. S.
2002
Asymptotic stability for nonautonomous scalar neutral differential equations. Zbl 0866.34061
Yu, J. S.
1996
Global attractivity of the zero solution of a class of functional differential equations and its applications. Zbl 0861.34047
Yu, Jianshe
1996
Simple paratransgenic mosquitoes models and their dynamics. Zbl 1411.34067
Li, Jia; Han, Maoan; Yu, Jianshe
2018
Distribution profiles and their dynamic transition in stochastic gene transcription. Zbl 1273.34066
Jiao, Feng; Tang, Moxun; Yu, Jianshe
2013
Multiple periodic solutions with minimal period 4 of the delay differential equation $$\dot x(t)=-f(t,x(t-1))$$. Zbl 1270.34173
Yu, Jianshe; Xiao, Huafeng
2013
Modulation of gene transcription noise by competing transcription factors. Zbl 1284.92029
Sun, Qiwen; Tang, Moxun; Yu, Jianshe
2012
Subharmonic solutions with prescribed minimal period of a class of nonautonomous Hamiltonian systems. Zbl 1361.34041
Yu, Jianshe
2008
Periodic solutions for discrete convex Hamiltonian systems via Clarke duality. Zbl 1121.39012
Yu, Jianshe; Bin, Honghua; Guo, Zhiming
2006
Sufficient conditions for the oscillation of linear delay difference equations with oscillating coefficients. Zbl 0964.39011
Yu, J. S.; Tang, X. H.
2000
Oscillations for even-order neutral difference equations. Zbl 0966.39004
Zhou, Zhan; Yu, Jianshe; Lei, Guanglong
2000
Oscillation of nonlinear delay difference equations. Zbl 0963.39021
Tang, X. H.; Yu, J. S.
2000
Global attractivity of neutral difference equations. Zbl 0932.39010
Zhou, Zhan; Yu, Jianshe; Wang, Zhicheng
1998
Ground state solutions of Nehari-Pankov type for Schrödinger equations with local super-quadratic conditions. Zbl 1437.35224
Tang, Xianhua; Chen, Sitong; Lin, Xiaoyan; Yu, Jianshe
2020
Ground state solutions of discrete asymptotically linear Schrödinger equations with bounded and non-periodic potentials. Zbl 1439.39010
Lin, Genghong; Zhou, Zhan; Yu, Jianshe
2020
A stage structured model of delay differential equations for Aedes mosquito population suppression. Zbl 1435.92075
Huang, Mugen; Tang, Moxun; Yu, Jianshe; Zheng, Bo
2020
Global asymptotic stability in an interactive wild and sterile mosquito model. Zbl 1444.34103
Yu, Jianshe; Li, Jia
2020
Existence and stability of a unique and exact two periodic orbits for an interactive wild and sterile mosquito model. Zbl 1457.34084
Yu, Jianshe
2020
Dynamics for a non-autonomous predator-prey system with generalist predator. Zbl 1443.92148
Bai, Dingyong; Yu, Jianshe; Fan, Meng; Kang, Yun
2020
Analytical formula and dynamic profile of mRNA distribution. Zbl 1429.92067
Jiao, Feng; Ren, Jian; Yu, Jianshe
2020
On positive ground state solutions for the nonlinear Kirchhoff type equations in $$\mathbb{R}^3$$. Zbl 1448.35229
Shen, Zupei; Yu, Jianshe
2020
Modeling Wolbachia infection in mosquito population via discrete dynamical models. Zbl 07143857
Yu, Jianshe; Zheng, Bo
2019
The threshold infection level for Wolbachia invasion in random environments. Zbl 1406.34072
Hu, Linchao; Tang, Moxun; Wu, Zhongdao; Xi, Zhiyong; Yu, Jianshe
2019
Nontrivial solutions for Schrödinger equation with local super-quadratic conditions. Zbl 1414.35062
Tang, Xianhua; Lin, Xiaoyan; Yu, Jianshe
2019
Use of age-stage structural models to seek optimal Wolbachia-infected male mosquito releases for mosquito-borne disease control. Zbl 1412.92180
Zheng, Bo; Liu, Xiaoping; Tang, Moxun; Xi, Zhiyong; Yu, Jianshe
2019
Dynamics of interactive wild and sterile mosquitoes with time delay. Zbl 1448.92260
Yu, Jianshe; Li, Jia
2019
Wolbachia spread dynamics in multi-regimes of environmental conditions. Zbl 1406.92578
Hu, Linchao; Huang, Mugen; Tang, Moxun; Yu, Jianshe; Zheng, Bo
2019
Distribution profiles in gene transcription activated by the cross-talking pathway. Zbl 1420.92023
Jiao, Feng; Sun, Qiwen; Lin, Genghong; Yu, Jianshe
2019
Bounded state solutions of Kirchhoff type problems with a critical exponent in high dimension. Zbl 1401.35090
Xie, Qilin; Yu, Jianshe
2019
Homoclinic solutions of discrete nonlinear Schrödinger equations with partially sublinear nonlinearities. Zbl 1417.39027
Lin, Genghong; Yu, Jianshe; Zhou, Zhan
2019
Fluctuations of mRNA distributions in multiple pathway activated transcription. Zbl 1415.92081
Lin, Genghong; Yu, Jianshe; Zhou, Zhan; Sun, Qiwen; Jiao, Feng
2019
Wolbachia spreading dynamics in mosquitoes with imperfect maternal transmission. Zbl 1392.92113
Zheng, Bo; Tang, Moxun; Yu, Jianshe; Qiu, Junxiong
2018
Modeling mosquito population suppression based on delay differential equations. Zbl 1401.92171
Yu, Jianshe
2018
Stability and bifurcation on predator-prey systems with nonlocal prey competition. Zbl 1386.35200
Chen, Shanshan; Yu, Jianshe
2018
Assessing the efficiency of Wolbachia driven Aedes mosquito suppression by delay differential equations. Zbl 1400.92490
Huang, Mugen; Luo, Jiaowan; Hu, Linchao; Zheng, Bo; Yu, Jianshe
2018
Simple paratransgenic mosquitoes models and their dynamics. Zbl 1411.34067
Li, Jia; Han, Maoan; Yu, Jianshe
2018
Complex Wolbachia infection dynamics in mosquitoes with imperfect maternal transmission. Zbl 1375.92075
Zheng, Bo; Guo, Wenliang; Hu, Linchao; Huang, Mugen; Yu, Jianshe
2018
The mean and noise of stochastic gene transcription with cell division. Zbl 1406.92222
Wang, Qi; Huang, Lifang; Wen, Kunwen; Yu, Jianshe
2018
The dynamics of gene transcription in random environments. Zbl 1403.37096
Ren, Jian; Jiao, Feng; Sun, Qiwen; Tang, Moxun; Yu, Jianshe
2018
Modulation of first-passage time for bursty gene expression via random signals. Zbl 1367.92035
Li, Qiuying; Huang, Lifang; Yu, Jianshe
2017
Qualitative analysis for a Wolbachia infection model with diffusion. Zbl 1344.35156
Huang, MuGen; Yu, JianShe; Hu, LinChao; Zheng, Bo
2016
Stability and bifurcations in a nonlocal delayed reaction-diffusion population model. Zbl 1325.35003
Chen, Shanshan; Yu, Jianshe
2016
Dynamics of a diffusive predator-prey system with a nonlinear growth rate for the predator. Zbl 1335.35114
Chen, Shanshan; Yu, Jianshe
2016
Stability analysis of a reaction-diffusion equation with spatiotemporal delay and Dirichlet boundary condition. Zbl 1350.35026
Chen, Shanshan; Yu, Jianshe
2016
Wolbachia infection dynamics by reaction-diffusion equations. Zbl 1337.35156
Huang, Mugen; Tang, Moxun; Yu, Jianshe
2015
Wolbachia spread dynamics in stochastic environments. Zbl 1343.92482
Hu, Linchao; Huang, Mugen; Tang, Moxun; Yu, Jianshe; Zheng, Bo
2015
Transcription dynamics of inducible genes modulated by negative regulations. Zbl 1350.92019
Li, Yanyan; Tang, Moxun; Yu, Jianshe
2015
Distribution modes and their corresponding parameter regions in stochastic gene transcription. Zbl 1368.92054
Jiao, Feng; Sun, Qiwen; Tang, Moxun; Yu, Jianshe; Zheng, Bo
2015
Fundamental principles of energy consumption for gene expression. Zbl 1374.92044
Huang, Lifang; Yuan, Zhanjiang; Yu, Jianshe; Zhou, Tianshou
2015
Modeling Wolbachia spread in mosquitoes through delay differential equations. Zbl 1303.92124
Zheng, Bo; Tang, Moxun; Yu, Jianshe
2014
The nonlinear dynamics and fluctuations of mRNA levels in cross-talking pathway activated transcription. Zbl 1310.92025
Yu, Jianshe; Sun, Qiwen; Tang, Moxun
2014
A survey on the periodic solutions to Kaplan-Yorke type delay differential equation. I. Zbl 1313.34211
Yu, Jianshe; Guo, Zhiming
2014
Homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity. Zbl 1284.39006
Zhou, Zhan; Yu, Jian She
2013
Distribution profiles and their dynamic transition in stochastic gene transcription. Zbl 1273.34066
Jiao, Feng; Tang, Moxun; Yu, Jianshe
2013
Multiple periodic solutions with minimal period 4 of the delay differential equation $$\dot x(t)=-f(t,x(t-1))$$. Zbl 1270.34173
Yu, Jianshe; Xiao, Huafeng
2013
The mean and noise of protein numbers in stochastic gene expression. Zbl 1402.92180
Kuang, Juhong; Tang, Moxun; Yu, Jianshe
2013
A note on periodic solutions of the delay differential equation $$x'(t)=-f(x(t-1))$$. Zbl 1271.34070
Yu, Jianshe
2013
Multiplicity of periodic solutions to symmetric delay differential equations. Zbl 1288.47052
Krawcewicz, Wieslaw; Yu, Jianshe; Xiao, Huafeng
2013
Modulation of gene transcription noise by competing transcription factors. Zbl 1284.92029
Sun, Qiwen; Tang, Moxun; Yu, Jianshe
2012
Temporal profile of gene transcription noise modulated by cross-talking signal transduction pathways. Zbl 1238.92011
Sun, Qiwen; Tang, Moxun; Yu, Jianshe
2012
Homoclinic solutions in periodic difference equations with saturable nonlinearity. Zbl 1239.39010
Zhou, Zhan; Yu, Jianshe; Chen, Yuming
2011
Multiplicity results on period solutions to higher dimensional differential equations with multiple delays. Zbl 1243.34101
Guo, Zhiming; Yu, Jianshe
2011
Heteroclinic orbits for a discrete pendulum equation. Zbl 1232.39010
Xiao, Huafeng; Yu, Jianshe
2011
On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems. Zbl 1200.39001
Zhou, Zhan; Yu, Jianshe
2010
On the existence of gap solitons in a periodic discrete nonlinear Schrödinger equation with saturable nonlinearity. Zbl 1193.35176
Zhou, Zhan; Yu, Jianshe; Chen, Yuming
2010
Periodic solutions of a $$2n$$th-order nonlinear difference equation. Zbl 1232.39019
Zhou, Zhan; Yu, Jianshe; Chen, Yuming
2010
Homoclinic orbits for nonlinear difference equations containing both advance and retardation. Zbl 1160.39311
Yu, Jianshe; Shi, Haiping; Guo, Zhiming
2009
Multiple positive solutions for resonant difference equations. Zbl 1171.39303
Zhu, Benshi; Yu, Jianshe
2009
Random dynamics of gene transcription activation in single cells. Zbl 1180.92025
Felmer, Patricio L.; Quaas, Alexander; Tang, Moxun; Yu, Jianshe
2009
The minimal period problem for the classical forced pendulum equation. Zbl 1179.34038
Yu, Jianshe
2009
Existence theorems of periodic solutions for second-order nonlinear difference equations. Zbl 1146.39006
Cai, Xiaochun; Yu, Jianshe
2008
Subharmonic solutions with prescribed minimal period of a class of nonautonomous Hamiltonian systems. Zbl 1361.34041
Yu, Jianshe
2008
Multiplicity of periodic solutions for second-order discrete Hamiltonian systems with a small forcing term. Zbl 1180.39024
Yu, Jian-She; Zheng, Bo
2008
Monotonicity properties for ground states of the scalar field equation. Zbl 1136.35032
Felmer, Patricio L.; Quaas, Alexander; Tang, Moxun; Yu, Jianshe
2008
Positive solutions for multiparameter semipositone discrete boundary value problems via variational method. Zbl 1160.39312
Yu, Jianshe; Zhu, Benshi; Guo, Zhiming
2008
A general autoregressive model with Markov switching: estimation and consistency. Zbl 1231.62165
Xie, Y.; Yu, J.; Ranneby, B.
2008
Existence of periodic solutions for a $$2n$$th-order nonlinear difference equation. Zbl 1153.39302
Cai, Xiaochun; Yu, Jianshe
2007
Multiple periodic solutions for discrete Hamiltonian systems. Zbl 1115.39017
Yu, Jianshe; Bin, Honghua; Guo, Zhiming
2007
On boundary value problems for a discrete generalized Emden–Fowler equation. Zbl 1112.39011
Yu, Jianshe; Guo, Zhiming
2006
Existence theorems for second-order discrete boundary value problems. Zbl 1113.39019
Cai, Xiaochun; Yu, Jianshe
2006
Periodic solutions of a discrete Hamiltonian system with a change of sign in the potential. Zbl 1106.39022
Yu, Jianshe; Deng, Xiaoqing; Guo, Zhiming
2006
Nontrivial periodic solutions for asymptotically linear resonant difference problem. Zbl 1103.39005
Bin, Hong-Hua; Yu, Jian-She; Guo, Zhi-Ming
2006
Boundary value problems of discrete generalized Emden-Fowler equation. Zbl 1117.39014
Yu, Jianshe; Guo, Zhiming
2006
Multiplicity results for periodic solutions to second-order difference equations. Zbl 1109.39007
Guo, Zhiming; Yu, Jianshe
2006
Periodic solutions for discrete convex Hamiltonian systems via Clarke duality. Zbl 1121.39012
Yu, Jianshe; Bin, Honghua; Guo, Zhiming
2006
Periodic solutions of a class of nonlinear difference equations via critical point method. Zbl 1134.39003
Cai, Xiaochun; Yu, Jianshe; Guo, Zhiming
2006
Periodic solutions of second order self-adjoint difference equations. Zbl 1073.39009
Yu, Jianshe; Guo, Zhiming; Zou, Xingfu
2005
Multiplicity results for periodic solutions to delay differential equations via critical point theory. Zbl 1095.34043
Guo, Zhiming; Yu, Jianshe
2005
On the existence of positive solutions of fourth-order difference equations. Zbl 1068.39008
He, Zhimin; Yu, Jianshe
2005
Existence of periodic solutions for fourth-order difference equations. Zbl 1086.39002
Cai, Xiaochun; Yu, Jianshe; Guo, Zhiming
2005
The existence of periodic and subharmonic solutions to subquadratic discrete Hamiltonian systems. Zbl 1081.39019
Zhou, Zhan; Yu, Jianshe; Guo, Zhiming
2005
Existence of multiple positive periodic solutions for nonlinear functional difference equations. Zbl 1070.39019
Ma, Manjun; Yu, Jianshe
2005
Global attractivity of $$x_{n+1} = (1-\alpha) x_{n}+\beta e^{-\gamma} x_{n-k}$$. Zbl 1068.92026
Ma, Manjun; Yu, Jianshe
2005
Periodic solutions of higher-dimensional discrete systems. Zbl 1073.39010
Zhou, Zhan; Yu, Jianshe; Guo, Zhiming
2004
Subharmonic solutions with prescribed minimal period of a discrete forced pendulum equation. Zbl 1067.39022
Yu, Jianshe; Long, Yuhua; Guo, Zhiming
2004
Applications of critical point theory to difference equations. Zbl 1067.39007
Guo, Zhiming; Yu, Jianshe
2004
Necessary and sufficient conditions for the existence of positive solutions of nonlinear difference equations. Zbl 1067.39027
Zhang, R. Y.; Wang, Z. C.; Yu, J. S.
2004
Sharp conditions for the uniform stability of nonautonomous Hutchinsons’s equation. Zbl 1063.34069
Yu, Jianshe
2004
The existence of periodic and subharmonic solutions of subquadratic second order difference equations. Zbl 1046.39005
Guo, Zhiming; Yu, Jianshe
2003
Existence of periodic and subharmonic solutions for second-order superlinear difference equations. Zbl 1215.39001
Guo, Zhiming; Yu, Jianshe
2003
Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems. Zbl 1053.39011
Guo, Zhiming; Yu, Jianshe
2003
On the existence of solution for the periodic boundary value problems with p-Laplacian operator. Zbl 1050.34012
Liu, Bin; Yu, Jianshe
2003
Some problems on the global attractivity of linear nonautonomous difference equations. Zbl 1117.39318
Yu, Jianshe; Guo, Zhiming
2003
Oscillation of superlinear delay differential equations. Zbl 1040.34082
Tang, Xianhua; Yu, Jianshe
2003
Periodic boundary value problem for first-order impulsive functional differential equations. Zbl 1004.34052
He, Zhimin; Yu, Jianshe
2002
Essential components of the set of weakly Pareto-Nash equilibrium points. Zbl 1016.91008
Yang, H.; Yu, J.
2002
Solvability of multi-point boundary value problem at resonance. III. Zbl 1054.34033
Liu, Bing; Yu, Jianshe
2002
Existence of solution of $$m$$-point boundary value problems of second-order differential systems with impulses. Zbl 1032.34024
Liu, Bing; Yu, Jianshe
2002
Periodic boundary value problem for first-order impulsive ordinary differential equations. Zbl 1016.34023
He, Zhimin; Yu, Jianshe
2002
Solvability of multi-point boundary value problems at resonance. I. Zbl 1021.34013
Liu, Bing; Yu, Jianshe
2002
Stability theorem for delay differential equations with impulses. Zbl 1030.34070
Tang, X. H.; He, Zhimin; Yu, J. S.
2002
Global attractivity in a delay population model under impulsive perturbations. Zbl 1035.34094
Yu, J. S.; Tang, X. H.
2002
Global attractivity in a logistic difference model with a feedback control. Zbl 1043.93053
Liao, Liusheng; Yu, Jianshe; Wang, Lin
2002
...and 134 more Documents
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#### Cited by 1,307 Authors

 101 Yu, Jian-She 62 Tang, Xianhua 51 Ge, Weigao 49 Shi, Haiping 47 Zhou, Zhan 39 Shen, Jianhua 31 Liu, Xia 29 Braverman, Elena 29 Liu, Yuji 28 Yan, Jurang 28 Zhang, Binggen 28 Zhang, Yuanbiao 26 Guo, Zhiming 25 Berezansky, Leonid M. 23 Chatzarakis, George E. 23 Stavroulakis, Ioannis P. 21 Saker, Samir H. 19 Lu, Shiping 17 Luo, Zhiguo 17 Zheng, Bo 17 Zhou, Yong 16 Chen, Guanwei 16 Deng, Xiaoqing 16 Huang, Lihong 14 Karpuz, Başak 14 Wang, Zhi-Cheng 14 Yu, Jian 13 Ma, Shiwang 13 Tang, Moxun 13 Wang, Xiaoping 13 Wei, Junjie 12 Agarwal, Ravi P. 12 Feng, Meiqiang 12 Long, Yuhua 12 Muroya, Yoshiaki 11 Galewski, Marek 11 Ocalan, Ozkan 10 Chen, Peng 10 Du, Zengji 10 Lin, Genghong 10 Liu, Wenbin 10 Ma, Ruyun 10 Zhang, Guang 10 Zhang, Xiaosheng 10 Zhou, Tao 9 Cheng, Sui Sun 9 He, Tieshan 9 Kang, Shin Min 9 Lin, Xiaoyan 9 Xiao, Huafeng 9 Zhang, Qinqin 8 Chen, Shanshan 8 Hu, Linchao 8 Huang, Mugen 8 Jankowski, Tadeusz 8 Jiang, Daqing 8 Liu, Jinsheng 8 Liu, Zeqing 8 O’Regan, Donal 8 Zhang, Xuemei 8 Zheng, Bo 8 Zou, Xingfu 7 Chen, Sitong 7 Graef, John R. 7 Han, Maoan 7 Li, Yongkun 7 Liu, Shutang 7 Ma, Manjun 7 Meng, Qiong 7 Rath, Radhanath N. 7 Shi, Junping 7 Song, Yongli 7 Wang, Dabin 7 Wang, Qiru 7 Wang, Shuli 7 Wang, Weibing 7 Wang, Xiao 7 Xu, Yuantong 7 Yang, Hui 7 Yang, Zhe 7 Zhao, Aimin 6 Alzabut, Jehad O. 6 Bin, Honghua 6 Chen, Haibo 6 Chen, Taiyong 6 Chen, Yuming 6 Dai, Binxiang 6 Guo, Shangjiang 6 Gürcan, Fuat 6 He, Zhimin 6 Jiao, Feng 6 Li, Jingwen 6 Li, Zhixiang 6 Liao, Liusheng 6 Lin, Zhi 6 Ouaro, Stanislas 6 Peng, Mingshu 6 Shi, Bao 6 Sun, Qiwen 6 Tersian, Stepan Agop ...and 1,207 more Authors
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#### Cited in 164 Serials

 132 Journal of Mathematical Analysis and Applications 116 Computers & Mathematics with Applications 112 Applied Mathematics and Computation 91 Advances in Difference Equations 85 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 62 Applied Mathematics Letters 60 Journal of Difference Equations and Applications 57 Abstract and Applied Analysis 36 Journal of Applied Mathematics and Computing 30 Journal of Computational and Applied Mathematics 30 Discrete Dynamics in Nature and Society 29 Nonlinear Analysis. Real World Applications 29 Boundary Value Problems 26 Journal of Differential Equations 24 Applied Mathematics. Series B (English Edition) 23 Mathematical and Computer Modelling 13 Mathematical Methods in the Applied Sciences 12 Journal of Dynamics and Differential Equations 12 Journal of Applied Analysis and Computation 11 Mathematica Slovaca 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 Science China. Mathematics 10 Journal of Optimization Theory and Applications 9 Journal of Mathematical Biology 9 Rocky Mountain Journal of Mathematics 9 Journal of Biological Dynamics 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Czechoslovak Mathematical Journal 8 Acta Applicandae Mathematicae 8 Acta Mathematicae Applicatae Sinica. English Series 8 Acta Mathematica Sinica. English Series 8 Mediterranean Journal of Mathematics 7 Chaos, Solitons and Fractals 7 Applied Mathematics and Mechanics. (English Edition) 7 Journal of Global Optimization 7 Applied Mathematical Modelling 7 Discrete and Continuous Dynamical Systems 7 Differential Equations and Dynamical Systems 7 Journal of Inequalities and Applications 7 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Applied Mathematics 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Communications on Pure and Applied Analysis 7 Journal of Fixed Point Theory and Applications 7 International Journal of Biomathematics 7 Journal of Nonlinear Science and Applications 6 Mathematics and Computers in Simulation 6 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 6 Mathematical Problems in Engineering 6 Communications in Nonlinear Science and Numerical Simulation 6 Mathematical Biosciences and Engineering 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Journal of Theoretical Biology 6 Open Mathematics 5 Bulletin of Mathematical Biology 5 International Journal of Mathematics and Mathematical Sciences 5 Proceedings of the American Mathematical Society 5 Indagationes Mathematicae. New Series 5 Nonlinear Dynamics 4 Mathematical Biosciences 4 Results in Mathematics 4 Applications of Mathematics 4 SIAM Journal on Applied Mathematics 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Journal of Mathematical Sciences (New York) 4 The ANZIAM Journal 4 Advances in Nonlinear Analysis 3 Bulletin of the Australian Mathematical Society 3 Theoretical Population Biology 3 Tohoku Mathematical Journal. Second Series 3 Acta Mathematica Hungarica 3 Science in China. Series A 3 Russian Mathematics 3 Georgian Mathematical Journal 3 Opuscula Mathematica 3 Complexity 3 Mathematical Communications 3 Journal of Dynamical and Control Systems 3 Qualitative Theory of Dynamical Systems 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Central European Journal of Mathematics 3 Discrete and Continuous Dynamical Systems. Series S 3 Afrika Matematika 2 Israel Journal of Mathematics 2 Journal of the Franklin Institute 2 Demonstratio Mathematica 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Zeitschrift für Analysis und ihre Anwendungen 2 Communications in Partial Differential Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of Applied Analysis 2 Positivity 2 Differentsial’nye Uravneniya i Protsessy Upravleniya 2 Dynamical Systems 2 Portugaliae Mathematica. Nova Série 2 Fixed Point Theory and Applications 2 Cubo 2 Communications in Mathematical Analysis 2 Nonlinear Oscillations ...and 64 more Serials
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#### Cited in 35 Fields

 809 Ordinary differential equations (34-XX) 574 Difference and functional equations (39-XX) 233 Biology and other natural sciences (92-XX) 179 Partial differential equations (35-XX) 142 Operator theory (47-XX) 122 Dynamical systems and ergodic theory (37-XX) 76 Global analysis, analysis on manifolds (58-XX) 29 Systems theory; control (93-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 27 Operations research, mathematical programming (90-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Numerical analysis (65-XX) 23 Integral equations (45-XX) 18 Mechanics of particles and systems (70-XX) 15 Probability theory and stochastic processes (60-XX) 10 Functional analysis (46-XX) 7 Real functions (26-XX) 4 Mechanics of deformable solids (74-XX) 4 Quantum theory (81-XX) 3 General topology (54-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)