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Author ID: shi.junping Recent zbMATH articles by "Shi, Junping"
Published as: Shi, Junping; Shi, Jun-ping; Shi, Jun Ping; Shi, JunPing
External Links: MGP
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Co-Authors

14 single-authored
18 Wang, Yuwen
16 Chen, Shanshan
16 Wei, Junjie
11 Liu, Ping
9 Li, Fuyi
8 Wang, Jinfeng
7 Shivaji, Ratnasingham
6 Li, Yuhua
6 Wang, Hao
6 Wang, Mingxin
5 Chang, Xiaoyuan
5 Cui, Renhao
5 Kim, Chan-Gyun
5 Peng, Rui
5 Shi, Qingyan
5 Wang, Chuncheng
5 Zhang, Guohong
5 Zhang, Jimin
5 Zhou, Jun
4 Shaw, Leah B.
4 Sun, Ji Tao
4 Wang, Xiaoli
4 Wang, Yan
4 Wu, Sainan
4 Wu, YiXiang
4 Yi, Fengqi
3 Chern, Jann-Long
3 Du, Yihong
3 Korman, Philip L.
3 Liang, Zhanping
3 Lipcius, Romuald N.
3 Ni, Wenjie
3 Ouyang, Tiancheng
3 Shuai, Zhisheng
3 Song, Yongli
3 Su, Ying
3 Toro, Eleuterio Francisco
3 Wu, Boying
3 Zou, Xingfu
2 An, Yulian
2 Bates, Peter W.
2 Boyle, James T.
2 Cao, Xiaoshan
2 Dancer, Edward Norman
2 Del Rio, Carlos Martinez
2 Hambric, Christopher Logan
2 Jiang, Fangfang
2 Jiang, Jifa
2 Jiang, Weihua
2 Jordan-Cooley, William C.
2 Li, Chi-Kwong
2 Li, Ning
2 Lim, Chjan C.
2 Liu, Rongsong
2 Ma, Wentao
2 Oruganti, Shobha
2 Pelejo, Diane Christine P.
2 Shen, Jian
2 Sun, Linan
2 Tang, Yong-Li
2 Wang, Feng-Bin
2 Wang, Jun
2 Wang, Xuefeng
2 Williams, John J. R.
2 Xie, Zhifu
2 Yan, Xiangping
2 Yao, Miaoxin
2 Zaytseva, Sofya
2 Zhao, Yuhua
2 Zuo, Wenjie
1 Akbarzadeh, A. Hamid
1 An, Qi
1 Bajcinca, Naim
1 Bass, Ludvik
1 Bodhale, Rohit
1 Cannon, M. Elizabeth
1 Chen, Mayee
1 Chen, Sitong
1 Chen, Zhiyou
1 Cui, Jingan
1 Cui, Xinping
1 Ding, Deqiong
1 Ding, Hui
1 Dismukes, John P.
1 Duo, Jia
1 Effros, Michelle
1 Essman, Michael
1 Fan, Zhengfu
1 Feng, Xiuhong
1 Gao, Chunjuan
1 Gourley, Stephen A.
1 Guo, Jingzhe
1 Hamilton, Robert
1 Hao, Xiaocui
1 Ho, Tracey
1 Hsu, Sze-Bin
1 Hsu, Szebi
1 Huang, Samuel H.
1 Huang, Yongyan
1 Jia, Jing
...and 53 more Co-Authors
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Serials

25 Journal of Differential Equations
10 Journal of Mathematical Biology
10 Discrete and Continuous Dynamical Systems. Series B
8 Journal of Mathematical Analysis and Applications
8 Discrete and Continuous Dynamical Systems
7 Electronic Journal of Differential Equations (EJDE)
7 Communications on Pure and Applied Analysis
6 SIAM Journal on Applied Mathematics
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Journal of Dynamics and Differential Equations
5 Calculus of Variations and Partial Differential Equations
4 Computers and Structures
4 Applied Mathematics and Computation
4 Journal of Functional Analysis
4 Transactions of the American Mathematical Society
4 Applied Mathematics Letters
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 International Journal of Numerical Methods for Heat & Fluid Flow
4 Nonlinear Analysis. Real World Applications
3 International Journal for Numerical Methods in Fluids
3 Nonlinearity
3 Journal of Nonlinear Science
3 Mathematical Biosciences and Engineering
3 Journal of Theoretical Biology
2 Acta Mechanica
2 Computers & Mathematics with Applications
2 IMA Journal of Applied Mathematics
2 Proceedings of the American Mathematical Society
2 Results in Mathematics
2 Topological Methods in Nonlinear Analysis
1 Applicable Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 IEEE Transactions on Information Theory
1 International Journal of Control
1 International Journal of Engineering Science
1 International Journal of Solids and Structures
1 Journal of Applied Mechanics
1 Journal of the Mechanics and Physics of Solids
1 Mathematical Biosciences
1 Rocky Mountain Journal of Mathematics
1 Bulletin of Mathematical Biology
1 Acta Mathematica Vietnamica
1 Applied Mathematics and Optimization
1 Automatica
1 Biometrics
1 Bulletin of the London Mathematical Society
1 International Journal for Numerical Methods in Engineering
1 Journal of Computational and Applied Mathematics
1 Meccanica
1 Mechanics Research Communications
1 Applied Mathematics and Mechanics. (English Edition)
1 Mathematics in Practice and Theory
1 International Journal of Production Research
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Mathematical and Computer Modelling
1 Science in China. Series A
1 Differential and Integral Equations
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Linear Algebra and its Applications
1 Communications in Numerical Methods in Engineering
1 Statistical Papers
1 Advances in Differential Equations
1 Pure and Applied Mathematics
1 Journal of Geodesy
1 Journal of Mathematical Chemistry
1 Abstract and Applied Analysis
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Chinese Journal of Computational Mechanics
1 Frontiers of Mathematics in China
1 Communications in Computational Physics
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Applied Analysis and Computation
1 Electronic Research Archive

Publications by Year

Citations contained in zbMATH Open

188 Publications have been cited 4,341 times in 2,402 Documents Cited by Year
Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system. Zbl 1203.35030
Yi, Fengqi; Wei, Junjie; Shi, Junping
289
2009
Existence of a positive solution to Kirchhoff-type problems without compactness conditions. Zbl 1259.35078
Li, Yuhua; Li, Fuyi; Shi, Junping
218
2012
On global bifurcation for quasilinear elliptic systems on bounded domains. Zbl 1165.35358
Shi, Junping; Wang, Xuefeng
162
2009
Predator-prey system with strong Allee effect in prey. Zbl 1232.92076
Wang, Jinfeng; Shi, Junping; Wei, Junjie
136
2011
Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey. Zbl 1228.35037
Wang, Jinfeng; Shi, Junping; Wei, Junjie
126
2011
On a singular nonlinear semilinear elliptic problem. Zbl 0919.35044
Shi, Junping; Yao, Miaoxin
102
1998
Exact multiplicity of positive solutions for a class of semilinear problem. II. Zbl 0947.35067
Ouyang, Tiancheng; Shi, Junping
101
1999
Diffusion-driven instability and bifurcation in the Lengyel-Epstein system. Zbl 1146.35384
Yi, Fengqi; Wei, Junjie; Shi, Junping
99
2008
Hopf bifurcations in a reaction-diffusion population model with delay effect. Zbl 1203.35029
Su, Ying; Wei, Junjie; Shi, Junping
97
2009
Persistence and bifurcation of degenerate solutions. Zbl 0949.47050
Shi, Junping
93
1999
Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect. Zbl 1256.35177
Chen, Shanshan; Shi, Junping
91
2012
Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis. Zbl 1335.35131
Wu, Sainan; Shi, Junping; Wu, Boying
86
2016
A diffusive predator-prey model with a protection zone. Zbl 1142.35022
Du, Yihong; Shi, Junping
85
2006
Persistence in reaction diffusion models with weak Allee effect. Zbl 1110.92055
Shi, Junping; Shivaji, Ratnasingham
81
2006
On stationary patterns of a reaction-diffusion model with autocatalysis and saturation law. Zbl 1148.35094
Peng, Rui; Shi, Junping; Wang, Mingxin
77
2008
Allee effect and bistability in a spatially heterogeneous predator-prey model. Zbl 1189.35337
Du, Yihong; Shi, Junping
75
2007
Diffusive logistic equation with constant yield harvesting. I: Steady states. Zbl 1109.35049
Oruganti, Shobha; Shi, Junping; Shivaji, Ratnasingham
73
2002
Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior. Zbl 1288.35456
Liang, Zhanping; Li, Fuyi; Shi, Junping
72
2014
Exact multiplicity of positive solutions for a class of semilinear problems. Zbl 0918.35049
Ouyang, Tiancheng; Shi, Junping
67
1998
Hopf bifurcation and Turing instability in the reaction-diffusion Holling-Tanner predator-prey model. Zbl 1267.35236
Li, Xin; Jiang, Weihua; Shi, Junping
62
2013
Stationary pattern of a ratio-dependent food chain model with diffusion. Zbl 1210.35268
Peng, Rui; Shi, Junping; Wang, Mingxin
57
2007
Pattern formation of the attraction-repulsion Keller-Segel system. Zbl 1277.35048
Liu, Ping; Shi, Junping; Wang, Zhi-An
57
2013
Global bifurcation analysis and pattern formation in homogeneous diffusive predator-prey systems. Zbl 1332.35176
Wang, Jinfeng; Wei, Junjie; Shi, Junping
55
2016
Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case. Zbl 1169.35328
Peng, Rui; Shi, Junping
55
2009
Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates. Zbl 1223.92057
Sun, Ruoyan; Shi, Junping
51
2011
Some recent results on diffusive predator-prey models in spatially heterogeneous environment. Zbl 1100.35041
Du, Yihong; Shi, Junping
49
2006
Strong Allee effect in a diffusive predator-prey system with a protection zone. Zbl 1359.35096
Cui, Renhao; Shi, Junping; Wu, Boying
46
2014
Bifurcations of patterned solutions in the diffusive Lengyel-Epstein system of CIMA chemical reactions. Zbl 1288.35051
Jin, Jiayin; Shi, Junping; Wei, Junjie; Yi, Fengqi
46
2013
Dynamics and pattern formation of a diffusive predator-prey model with predator-taxis. Zbl 1411.35171
Wu, Sainan; Wang, Jinfeng; Shi, Junping
45
2018
Global stability in a diffusive Holling-Tanner predator-prey model. Zbl 1387.35334
Chen, Shanshan; Shi, Junping
43
2012
Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability. Zbl 1157.35407
Bates, Peter W.; Dancer, E. Norman; Shi, Junping
42
1999
Global stability and Hopf bifurcation in a delayed diffusive Leslie-Gower predator-prey system. Zbl 1270.35376
Chen, Shanshan; Shi, Junping; Wei, Junjie
41
2012
A random linear network coding approach to multicast. Zbl 1323.94010
Ho, Tracey; Médard, Muriel; Koetter, Ralf; Karger, David R.; Effros, Michelle; Shi, J.; Leong, B.
41
2006
Imperfect transcritical and pitchfork bifurcations. Zbl 1139.47042
Liu, Ping; Shi, Junping; Wang, Yuwen
39
2007
Global asymptotical behavior of the Lengyel-Epstein reaction-diffusion system. Zbl 1163.35422
Yi, Fengqi; Wei, Junjie; Shi, Junping
38
2009
Existence of positive solutions to Schrödinger-Poisson type systems with critical exponent. Zbl 1309.35025
Li, Fuyi; Li, Yuhua; Shi, Junping
37
2014
Hopf bifurcation in a diffusive logistic equation with mixed delayed and instantaneous density dependence. Zbl 1263.35028
Su, Ying; Wei, Junjie; Shi, Junping
37
2012
Stability of impulsive stochastic differential delay systems and its application to impulsive stochastic neural networks. Zbl 1218.34097
Li, Chunxiang; Shi, Junping; Sun, Jitao
36
2011
Time delay-induced instabilities and Hopf bifurcations in general reaction-diffusion systems. Zbl 1271.34071
Chen, Shanshan; Shi, Junping; Wei, Junjie
36
2013
Existence and instability of spike layer solutions to singular perturbation problems. Zbl 1010.47036
Bates, Peter W.; Shi, Junping
34
2002
Bifurcation analysis in a delayed diffusive Nicholson’s blowflies equation. Zbl 1191.35046
Su, Ying; Wei, Junjie; Shi, Junping
34
2010
Cross-diffusion induced instability and stability in reaction-diffusion systems. Zbl 1304.35329
Shi, Junping; Xie, Zhifu; Little, Kristina
33
2011
Semilinear Neumann boundary value problems on a rectangle. Zbl 0992.35031
Shi, Junping
31
2002
Bifurcation analysis of reaction-diffusion Schnakenberg model. Zbl 1320.92088
Liu, Ping; Shi, Junping; Wang, Yuwen; Feng, Xiuhong
30
2013
A co-rotational element/time-integration strategy for non-linear dynamics. Zbl 0804.70002
Crisfield, M. A.; Shi, J.
30
1994
Relaxation oscillation profile of limit cycle in predator-prey system. Zbl 1176.34049
Hsu, Sze-Bi; Shi, Junping
28
2009
Complete controllability of impulsive stochastic integro-differential systems. Zbl 1192.93021
Shen, Lijuan; Shi, Junping; Sun, Jitao
28
2010
The existence, bifurcation and stability of positive stationary solutions of a diffusive Leslie-Gower predator-prey model with Holling-type II functional responses. Zbl 1306.92054
Zhou, Jun; Shi, Junping
24
2013
Existence of positive solutions to Kirchhoff type problems with zero mass. Zbl 1311.35083
Li, Yuhua; Li, Fuyi; Shi, Junping
24
2014
Bifurcation analysis of the Gierer-Meinhardt system with a saturation in the activator production. Zbl 1317.35120
Chen, Shanshan; Shi, Junping; Wei, Junjie
24
2014
Logistic equation with the \(p\)-Laplacian and constant yield harvesting. Zbl 1133.35370
Oruganti, Shobha; Shi, Junping; Shivaji, Ratnasingham
23
2004
Dynamics of a host-pathogen system on a bounded spatial domain. Zbl 1328.35104
Wang, Feng-Bin; Shi, Junping; Zou, Xingfu
23
2015
The effect of delay on a diffusive predator-prey system with Holling type-II predator functional response. Zbl 1264.35120
Chen, Shanshan; Shi, Junping; Wei, Junjie
23
2013
Higher dimensional solitary waves generated by second-harmonic generation in quadratic media. Zbl 1332.35345
Zhao, Leiga; Zhao, Fukun; Shi, Junping
22
2015
Global stability and pattern formation in a nonlocal diffusive Lotka-Volterra competition model. Zbl 1397.35124
Ni, Wenjie; Shi, Junping; Wang, Mingxin
21
2018
Standing waves for a coupled nonlinear Hartree equations with nonlocal interaction. Zbl 1397.35106
Wang, Jun; Shi, Junping
20
2017
Ground state solutions of Nehari-Pohozaev type for the planar Schrödinger-Poisson system with general nonlinearity. Zbl 1425.35014
Chen, Sitong; Shi, Junping; Tang, Xianhua
20
2019
Uniqueness and nonexistence of positive solutions to semipositone problems. Zbl 1194.35164
Dancer, E. Norman; Shi, Junping
20
2006
Existence and uniqueness of steady state solutions of a nonlocal diffusive logistic equation. Zbl 1272.35121
Sun, Linan; Shi, Junping; Wang, Yuwen
20
2013
Persistence and extinction of population in reaction-diffusion-advection model with strong Allee effect growth. Zbl 1415.92162
Wang, Yan; Shi, Junping; Wang, Jinfeng
19
2019
Global attractivity of equilibrium in Gierer-Meinhardt system with activator production saturation and gene expression time delays. Zbl 1274.92020
Chen, Shanshan; Shi, Junping
19
2013
A note on Hopf bifurcations in a delayed diffusive Lotka-Volterra predator-prey system. Zbl 1231.35096
Chen, Shanshan; Shi, Junping; Wei, Junjie
18
2011
Hopf bifurcation in a reaction-diffusion equation with distributed delay and Dirichlet boundary condition. Zbl 1386.35421
Shi, Qingyan; Shi, Junping; Song, Yongli
17
2017
Positive solutions of Kirchhoff-type non-local elliptic equation: a bifurcation approach. Zbl 1375.35186
Liang, Zhanping; Li, Fuyi; Shi, Junping
16
2017
Diffusive spatial movement with memory and maturation delays. Zbl 1419.35114
Shi, Junping; Wang, Chuncheng; Wang, Hao
15
2019
Positive solutions for elliptic equations with singular nonlinearity. Zbl 1129.35344
Shi, Junping; Yao, Miaoxin
15
2005
Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations. Zbl 1435.35043
Jiang, Weihua; An, Qi; Shi, Junping
15
2020
Hair-triggered instability of radial steady states, spread and extinction in semilinear heat equations. Zbl 1387.35333
Shi, Junping; Wang, Xuefeng
15
2006
Population dynamics in river networks. Zbl 1427.35122
Jin, Yu; Peng, Rui; Shi, Junping
14
2019
Classification of four-body central configurations with three equal masses. Zbl 1301.70008
Shi, Junping; Xie, Zhifu
14
2010
Instability and exact multiplicity of solutions of semilinear equations. Zbl 0970.34015
Korman, Philip; Shi, Junping
14
2000
Bistability dynamics in structured ecological models. Zbl 1180.92088
Jiang, Jifa; Shi, Junping
13
2010
Existence and multiplicity of positive solutions to Schrödinger-Poisson type systems with critical nonlocal term. Zbl 1454.35116
Li, Yuhua; Li, Fuyi; Shi, Junping
13
2017
Positive steady state solutions of a diffusive Leslie-Gower predator-prey model with Holling type II functional response and cross-diffusion. Zbl 1304.35275
Zhou, Jun; Kim, Chan-Gyun; Shi, Junping
13
2014
Hopf bifurcation and pattern formation in a delayed diffusive logistic model with spatial heterogeneity. Zbl 1404.35262
Shi, Qingyan; Shi, Junping; Song, Yongli
13
2019
Persistence and extinction of population in reaction-diffusion-advection model with weak Allee effect growth. Zbl 1421.92028
Wang, Yan; Shi, Junping
12
2019
Diffusive spatial movement with memory. Zbl 1439.92215
Shi, Junping; Wang, Chuncheng; Wang, Hao; Yan, Xiangping
12
2020
Further studies of a reaction-diffusion system for an unstirred chemostat with internal storage. Zbl 1304.35333
Hsu, Sze-Bin; Shi, Junping; Wang, Feng-Bin
12
2014
Standing waves of a weakly coupled Schrödinger system with distinct potential functions. Zbl 1331.35328
Wang, Jun; Shi, Junping
12
2016
Steady states and dynamics of an autocatalytic chemical reaction model with decay. Zbl 1258.35115
Zhao, Yuhua; Wang, Yuwen; Shi, Junping
12
2012
Ground states of nonlinear Schrödinger equation on star metric graphs. Zbl 1382.35270
Li, Yuhua; Li, Fuyi; Shi, Junping
11
2018
Morse indices and exact multiplicity of solutions to semilinear elliptic problems. Zbl 0934.35037
Shi, Junping; Wang, Junping
10
1999
Exact multiplicity of solutions to superlinear and sublinear problems. Zbl 1004.35043
Shi, Junping
10
2002
Exact multiplicity of solutions for classes of semipositone problems with concave-convex nonlinearity. Zbl 0993.34015
Shi, Junping; Shivaji, Ratnasingham
10
2001
Pattern formation in diffusive predator-prey systems with predator-taxis and prey-taxis. Zbl 1465.35052
Wang, Jinfeng; Wu, Sainan; Shi, Junping
10
2021
Stability switches in a logistic population model with mixed instantaneous and delayed density dependence. Zbl 1369.34095
Yan, Xiangping; Shi, Junping
10
2017
Optimal spatial harvesting strategy and symmetry-breaking. Zbl 1178.35383
Kurata, Kazuhiro; Shi, Junping
10
2008
Global bifurcations of concave semipositone problems. Zbl 1290.35108
Shi, Junping; Shivaji, Ratnasingham
9
2003
New exact multiplicity results with an application to a population model. Zbl 1200.35148
Korman, Philip; Shi, Junping
9
2001
Asymptotic profiles of basic reproduction number for epidemic spreading in heterogeneous environment. Zbl 1442.35467
Chen, Shanshan; Shi, Junping
9
2020
Bifurcation in infinite dimensional spaces and applications in spatiotemporal biological and chemical models. Zbl 1176.35021
Shi, Junping
9
2009
Spatiotemporal mutualistic model of mistletoes and birds. Zbl 1284.92118
Wang, Chuncheng; Liu, Rongsong; Shi, Junping; del Rio, Carlos Martinez
9
2014
Lamb wave propagation in the functionally graded piezoelectric-piezomagnetic material plate. Zbl 1401.74148
Cao, Xiaoshan; Shi, Junping; Jin, Feng
9
2012
Dynamics of a reaction-diffusion system of autocatalytic chemical reaction. Zbl 1145.37343
Jiang, Jifa; Shi, Junping
9
2008
Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix. Zbl 1437.92114
Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang
9
2020
On Lane-Emden type systems. Zbl 1147.35311
Korman, Philip; Shi, Junping
8
2005
On the uniqueness and structure of solutions to a coupled elliptic system. Zbl 1205.35077
Chen, Zhi-You; Chern, Jann-Long; Shi, Junping; Tang, Yong-Li
8
2010
Bifurcation diagrams of population models with nonlinear diffusion. Zbl 1122.35309
Lee, Young He; Sherbakov, Lena; Taber, Jackie; Shi, Junping
8
2006
A mathematical model of algae growth in a pelagic-benthic coupled shallow aquatic ecosystem. Zbl 1388.35034
Zhang, Jimin; Shi, Junping; Chang, Xiaoyuan
7
2018
Global existence of solutions to an attraction-repulsion chemotaxis model with growth. Zbl 1359.35098
Wu, Sainan; Shi, Junping; Wu, Boying
7
2017
Two novel proofs of spectral monotonicity of perturbed essentially nonnegative matrices with applications in population dynamics. Zbl 07517180
Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang
1
2022
Effect of spatial average on the spatiotemporal pattern formation of reaction-diffusion systems. Zbl 07587116
Shi, Qingyan; Shi, Junping; Song, Yongli
1
2022
Pattern formation in diffusive predator-prey systems with predator-taxis and prey-taxis. Zbl 1465.35052
Wang, Jinfeng; Wu, Sainan; Shi, Junping
10
2021
Spatial movement with distributed memory. Zbl 1461.35034
Shi, Qingyan; Shi, Junping; Wang, Hao
6
2021
Bifurcation and pattern formation in diffusive Klausmeier-Gray-Scott model of water-plant interaction. Zbl 1472.35035
Wang, Xiaoli; Shi, Junping; Zhang, Guohong
4
2021
Phytoplankton competition for nutrients and light in a stratified lake: a mathematical model connecting epilimnion and hypolimnion. Zbl 1470.92268
Zhang, Jimin; Kong, Jude D.; Shi, Junping; Wang, Hao
4
2021
Existence and stability of steady-state solutions of reaction-diffusion equations with nonlocal delay effect. Zbl 1462.35173
Zuo, Wenjie; Shi, Junping
3
2021
A model of algal growth depending on nutrients and inorganic carbon in a poorly mixed water column. Zbl 1473.35175
Zhang, Jimin; Shi, Junping; Chang, Xiaoyuan
3
2021
Spatial modeling and dynamics of organic matter biodegradation in the absence or presence of bacterivorous grazing. Zbl 1460.92231
Chang, Xiaoyuan; Shi, Junping; Wang, Hao
2
2021
Spatial pattern formation in activator-inhibitor models with nonlocal dispersal. Zbl 1466.35024
Chen, Shanshan; Shi, Junping; Zhang, Guohong
2
2021
Spatial movement with diffusion and memory-based self-diffusion and cross-diffusion. Zbl 1477.35094
Shi, Junping; Wang, Chuncheng; Wang, Hao
2
2021
Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model. Zbl 1469.35039
Ni, Wenjie; Shi, Junping; Wang, Mingxin
1
2021
Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations. Zbl 1435.35043
Jiang, Weihua; An, Qi; Shi, Junping
15
2020
Diffusive spatial movement with memory. Zbl 1439.92215
Shi, Junping; Wang, Chuncheng; Wang, Hao; Yan, Xiangping
12
2020
Asymptotic profiles of basic reproduction number for epidemic spreading in heterogeneous environment. Zbl 1442.35467
Chen, Shanshan; Shi, Junping
9
2020
Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix. Zbl 1437.92114
Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang
9
2020
Global stability of nonhomogeneous equilibrium solution for the diffusive Lotka-Volterra competition model. Zbl 1445.35046
Ni, Wenjie; Shi, Junping; Wang, Mingxin
7
2020
Analysis of a reaction-diffusion benthic-drift model with strong Allee effect growth. Zbl 1444.92101
Wang, Yan; Shi, Junping
5
2020
Global dynamics of the diffusive Lotka-Volterra competition model with stage structure. Zbl 1429.35125
Chen, Shanshan; Shi, Junping
5
2020
Model of pattern formation in marsh ecosystems with nonlocal interactions. Zbl 1435.92095
Zaytseva, Sofya; Shi, Junping; Shaw, Leah B.
3
2020
3D hierarchical lattice ferroelectric metamaterials. Zbl 1476.74038
Shi, J.; Akbarzadeh, A. Hamid
3
2020
Coexistence of competing species for intermediate dispersal rates in a reaction-diffusion chemostat model. Zbl 1446.35055
Shi, Junping; Wu, Yixiang; Zou, Xingfu
1
2020
Ground state solutions of Nehari-Pohozaev type for the planar Schrödinger-Poisson system with general nonlinearity. Zbl 1425.35014
Chen, Sitong; Shi, Junping; Tang, Xianhua
20
2019
Persistence and extinction of population in reaction-diffusion-advection model with strong Allee effect growth. Zbl 1415.92162
Wang, Yan; Shi, Junping; Wang, Jinfeng
19
2019
Diffusive spatial movement with memory and maturation delays. Zbl 1419.35114
Shi, Junping; Wang, Chuncheng; Wang, Hao
15
2019
Population dynamics in river networks. Zbl 1427.35122
Jin, Yu; Peng, Rui; Shi, Junping
14
2019
Hopf bifurcation and pattern formation in a delayed diffusive logistic model with spatial heterogeneity. Zbl 1404.35262
Shi, Qingyan; Shi, Junping; Song, Yongli
13
2019
Persistence and extinction of population in reaction-diffusion-advection model with weak Allee effect growth. Zbl 1421.92028
Wang, Yan; Shi, Junping
12
2019
Spatiotemporal dynamics of a reaction-diffusion model of pollen tube tip growth. Zbl 1425.92028
Tian, Chenwei; Shi, Qingyan; Cui, Xinping; Guo, Jingzhe; Yang, Zhenbiao; Shi, Junping
5
2019
The existence of constrained minimizers for a class of nonlinear Kirchhoff-Schrödinger equations with doubly critical exponents in dimension four. Zbl 1419.49006
Li, Yuhua; Hao, Xiaocui; Shi, Junping
3
2019
Threshold dynamics of a diffusive nonlocal phytoplankton model with age structure. Zbl 1429.35124
Chen, Shanshan; Shi, Junping
3
2019
Minimum number of non-zero-entries in a \(7 \times 7\) stable matrix. Zbl 1434.15018
Hambric, Christopher Logan; Li, Chi-Kwong; Pelejo, Diane Christine; Shi, Junping
2
2019
Stability and asymptotic profile of steady state solutions to a reaction-diffusion pelagic-benthic algae growth model. Zbl 1481.35184
Shi, Junping; Zhang, Jimin; Zhang, Xiaoyan
1
2019
Dynamics and pattern formation of a diffusive predator-prey model with predator-taxis. Zbl 1411.35171
Wu, Sainan; Wang, Jinfeng; Shi, Junping
45
2018
Global stability and pattern formation in a nonlocal diffusive Lotka-Volterra competition model. Zbl 1397.35124
Ni, Wenjie; Shi, Junping; Wang, Mingxin
21
2018
Ground states of nonlinear Schrödinger equation on star metric graphs. Zbl 1382.35270
Li, Yuhua; Li, Fuyi; Shi, Junping
11
2018
A mathematical model of algae growth in a pelagic-benthic coupled shallow aquatic ecosystem. Zbl 1388.35034
Zhang, Jimin; Shi, Junping; Chang, Xiaoyuan
7
2018
Bifurcation of positive solutions to scalar reaction-diffusion equations with nonlinear boundary condition. Zbl 1375.35032
Liu, Ping; Shi, Junping
6
2018
Traveling wave solutions of a diffusive ratio-dependent Holling-Tanner system with distributed delay. Zbl 1394.35248
Zuo, Wenjie; Shi, Junping
3
2018
Dynamics of a scalar population model with delayed Allee effect. Zbl 1404.34090
Chang, Xiaoyuan; Shi, Junping; Zhang, Jimin
3
2018
Existence and concentration of nontrivial nonnegative ground state solutions to Kirchhoff-type system with Hartree-type nonlinearity. Zbl 1406.35123
Li, Fuyi; Gao, Chunjuan; Liang, Zhanping; Shi, Junping
3
2018
Uniqueness of positive solutions to some coupled cooperative variational elliptic systems. Zbl 1396.34012
An, Yulian; Chern, Jann-Long; Shi, Junping
1
2018
Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis: analysis of a spatially nonlocal model. Zbl 1406.92497
Gourley, Stephen A.; Lai, Xiulan; Shi, Junping; Wang, Wendi; Xiao, Yanyu; Zou, Xingfu
1
2018
Standing waves for a coupled nonlinear Hartree equations with nonlocal interaction. Zbl 1397.35106
Wang, Jun; Shi, Junping
20
2017
Hopf bifurcation in a reaction-diffusion equation with distributed delay and Dirichlet boundary condition. Zbl 1386.35421
Shi, Qingyan; Shi, Junping; Song, Yongli
17
2017
Positive solutions of Kirchhoff-type non-local elliptic equation: a bifurcation approach. Zbl 1375.35186
Liang, Zhanping; Li, Fuyi; Shi, Junping
16
2017
Existence and multiplicity of positive solutions to Schrödinger-Poisson type systems with critical nonlocal term. Zbl 1454.35116
Li, Yuhua; Li, Fuyi; Shi, Junping
13
2017
Stability switches in a logistic population model with mixed instantaneous and delayed density dependence. Zbl 1369.34095
Yan, Xiangping; Shi, Junping
10
2017
Global existence of solutions to an attraction-repulsion chemotaxis model with growth. Zbl 1359.35098
Wu, Sainan; Shi, Junping; Wu, Boying
7
2017
Interaction between water and plants: rich dynamics in a simple model. Zbl 1368.34065
Zhang, Guohong; Shi, Junping; Wang, Xiaoli
3
2017
Effect of harvesting quota and protection zone in a reaction-diffusion model arising from fishery management. Zbl 1368.35106
Cui, Renhao; Li, Haomiao; Mei, Linfeng; Shi, Junping
2
2017
Bistability in a model of grassland and forest transition. Zbl 1377.92106
Ding, Deqiong; Shi, Junping; Wang, Yan
1
2017
Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis. Zbl 1335.35131
Wu, Sainan; Shi, Junping; Wu, Boying
86
2016
Global bifurcation analysis and pattern formation in homogeneous diffusive predator-prey systems. Zbl 1332.35176
Wang, Jinfeng; Wei, Junjie; Shi, Junping
55
2016
Standing waves of a weakly coupled Schrödinger system with distinct potential functions. Zbl 1331.35328
Wang, Jun; Shi, Junping
12
2016
Exact multiplicity of positive solutions for a \(p\)-Laplacian equation with positive convex nonlinearity. Zbl 1329.35131
An, Yulian; Kim, Chan-Gyun; Shi, Junping
6
2016
On the existence and uniqueness of a limit cycle for a Liénard system with a discontinuity line. Zbl 1356.34024
Jiang, Fangfang; Shi, Junping; Wang, Qing-guo; Sun, Jitao
5
2016
Uniqueness of positive solutions for cooperative Hamiltonian elliptic systems. Zbl 1346.35059
Shi, Junping; Shivaji, Ratnasingham
1
2016
Dynamics of a host-pathogen system on a bounded spatial domain. Zbl 1328.35104
Wang, Feng-Bin; Shi, Junping; Zou, Xingfu
23
2015
Higher dimensional solitary waves generated by second-harmonic generation in quadratic media. Zbl 1332.35345
Zhao, Leiga; Zhao, Fukun; Shi, Junping
22
2015
Pattern formation in a general glycolysis reaction-diffusion system. Zbl 1338.35445
Zhou, Jun; Shi, Junping
7
2015
Traveling waves of a mutualistic model of mistletoes and birds. Zbl 1370.92153
Wang, Chuncheng; Liu, Rongsong; Shi, Junping; Martinez del Rio, Carlos
6
2015
Existence of positive solutions to a Laplace equation with nonlinear boundary condition. Zbl 1332.35121
Kim, C.-G.; Liang, Z.-P.; Shi, J.-P.
5
2015
On the number of limit cycles for discontinuous generalized Liénard polynomial differential systems. Zbl 1326.34061
Jiang, Fangfang; Shi, Junping; Sun, Jitao
2
2015
Asymptotic analytical solution for horizontal shear waves in a piezoelectric elliptic cylinder shell. Zbl 1329.74134
Cao, Xiaoshan; Jia, Jing; Ru, Yan; Shi, Junping
1
2015
Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior. Zbl 1288.35456
Liang, Zhanping; Li, Fuyi; Shi, Junping
72
2014
Strong Allee effect in a diffusive predator-prey system with a protection zone. Zbl 1359.35096
Cui, Renhao; Shi, Junping; Wu, Boying
46
2014
Existence of positive solutions to Schrödinger-Poisson type systems with critical exponent. Zbl 1309.35025
Li, Fuyi; Li, Yuhua; Shi, Junping
37
2014
Existence of positive solutions to Kirchhoff type problems with zero mass. Zbl 1311.35083
Li, Yuhua; Li, Fuyi; Shi, Junping
24
2014
Bifurcation analysis of the Gierer-Meinhardt system with a saturation in the activator production. Zbl 1317.35120
Chen, Shanshan; Shi, Junping; Wei, Junjie
24
2014
Positive steady state solutions of a diffusive Leslie-Gower predator-prey model with Holling type II functional response and cross-diffusion. Zbl 1304.35275
Zhou, Jun; Kim, Chan-Gyun; Shi, Junping
13
2014
Further studies of a reaction-diffusion system for an unstirred chemostat with internal storage. Zbl 1304.35333
Hsu, Sze-Bin; Shi, Junping; Wang, Feng-Bin
12
2014
Spatiotemporal mutualistic model of mistletoes and birds. Zbl 1284.92118
Wang, Chuncheng; Liu, Rongsong; Shi, Junping; del Rio, Carlos Martinez
9
2014
Qualitative analysis of an autocatalytic chemical reaction model with decay. Zbl 1292.35150
Zhou, Jun; Shi, Junping
5
2014
Bifurcation analysis of a generic reaction-diffusion Turing model. Zbl 1296.35084
Liu, Ping; Shi, Junping; Wang, Rui; Wang, Yuwen
4
2014
Profile of the unique limit cycle in a class of general predator-prey systems. Zbl 1334.92373
Wang, Jinfeng; Zhang, Xin; Shi, Junping; Wang, Yuwen
2
2014
Hopf bifurcation and Turing instability in the reaction-diffusion Holling-Tanner predator-prey model. Zbl 1267.35236
Li, Xin; Jiang, Weihua; Shi, Junping
62
2013
Pattern formation of the attraction-repulsion Keller-Segel system. Zbl 1277.35048
Liu, Ping; Shi, Junping; Wang, Zhi-An
57
2013
Bifurcations of patterned solutions in the diffusive Lengyel-Epstein system of CIMA chemical reactions. Zbl 1288.35051
Jin, Jiayin; Shi, Junping; Wei, Junjie; Yi, Fengqi
46
2013
Time delay-induced instabilities and Hopf bifurcations in general reaction-diffusion systems. Zbl 1271.34071
Chen, Shanshan; Shi, Junping; Wei, Junjie
36
2013
Bifurcation analysis of reaction-diffusion Schnakenberg model. Zbl 1320.92088
Liu, Ping; Shi, Junping; Wang, Yuwen; Feng, Xiuhong
30
2013
The existence, bifurcation and stability of positive stationary solutions of a diffusive Leslie-Gower predator-prey model with Holling-type II functional responses. Zbl 1306.92054
Zhou, Jun; Shi, Junping
24
2013
The effect of delay on a diffusive predator-prey system with Holling type-II predator functional response. Zbl 1264.35120
Chen, Shanshan; Shi, Junping; Wei, Junjie
23
2013
Existence and uniqueness of steady state solutions of a nonlocal diffusive logistic equation. Zbl 1272.35121
Sun, Linan; Shi, Junping; Wang, Yuwen
20
2013
Global attractivity of equilibrium in Gierer-Meinhardt system with activator production saturation and gene expression time delays. Zbl 1274.92020
Chen, Shanshan; Shi, Junping
19
2013
Extended meshless method based on partition of unity for solving multiple crack problems. Zbl 1293.74427
Shi, Junping; Ma, Wentao; Li, Ning
6
2013
Bifurcation from a degenerate simple eigenvalue. Zbl 1282.35043
Liu, Ping; Shi, Junping; Wang, Yuwen
6
2013
A double saddle-node bifurcation theorem. Zbl 1294.47081
Liu, Ping; Shi, Junping; Wang, Yuwen
6
2013
Existence, uniqueness and stability of positive solutions for a class of semilinear elliptic systems. Zbl 1295.35218
Cui, Renhao; Li, Ping; Shi, Junping; Wang, Yunwen
4
2013
Existence and multiplicity of positive solutions to a quasilinear elliptic equation with strong Allee effect growth rate. Zbl 1277.35190
Kim, Chan-Gyun; Shi, Junping
4
2013
Multiple positive solutions for \(p\)-Laplacian equation with weak Allee effect growth rate. Zbl 1299.34160
Kim, Chan-Gyun; Shi, Junping
3
2013
Nonexistence of periodic orbits for predator-prey system with strong Allee effect in prey populations. Zbl 1417.34097
Wang, Jinfeng; Shi, Junping; Wei, Junjie
2
2013
Uniqueness of the positive solution for a non-cooperative model of nuclear reactors. Zbl 06421005
Zhou, Jun; Shi, Junping
1
2013
Existence of a positive solution to Kirchhoff-type problems without compactness conditions. Zbl 1259.35078
Li, Yuhua; Li, Fuyi; Shi, Junping
218
2012
Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect. Zbl 1256.35177
Chen, Shanshan; Shi, Junping
91
2012
Global stability in a diffusive Holling-Tanner predator-prey model. Zbl 1387.35334
Chen, Shanshan; Shi, Junping
43
2012
Global stability and Hopf bifurcation in a delayed diffusive Leslie-Gower predator-prey system. Zbl 1270.35376
Chen, Shanshan; Shi, Junping; Wei, Junjie
41
2012
Hopf bifurcation in a diffusive logistic equation with mixed delayed and instantaneous density dependence. Zbl 1263.35028
Su, Ying; Wei, Junjie; Shi, Junping
37
2012
Steady states and dynamics of an autocatalytic chemical reaction model with decay. Zbl 1258.35115
Zhao, Yuhua; Wang, Yuwen; Shi, Junping
12
2012
Lamb wave propagation in the functionally graded piezoelectric-piezomagnetic material plate. Zbl 1401.74148
Cao, Xiaoshan; Shi, Junping; Jin, Feng
9
2012
...and 88 more Documents
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Cited by 2,551 Authors

107 Shi, Junping
57 Wei, Junjie
39 Guo, Shangjiang
36 Wu, Jianhua
31 Song, Yongli
26 Shivaji, Ratnasingham
26 Wei, Juncheng
24 Li, Shanbing
23 Chen, Shanshan
23 Sun, Ji Tao
22 Jiang, Weihua
22 Tang, Xianhua
22 Wang, Jinfeng
22 Yang, Ruizhi
21 Cai, Yongli
21 Korman, Philip L.
21 Nie, Hua
20 Wang, Yuwen
19 Wang, Weiming
19 Wu, Tsungfang
17 Dong, Yaying
17 Wang, Jinliang
17 Wang, Jun
17 Wang, Qi
16 Wang, Mingxin
16 Zhou, Jun
15 Chen, Sitong
15 Tang, Chun-Lei
14 Banerjee, Malay
14 Dai, Binxiang
14 Dai, Guowei
14 Sun, Guiquan
13 Jia, Yunfeng
13 Mu, Chunlai
13 Yan, Xiangping
12 Afrouzi, Ghasem Alizadeh
12 Fu, Shengmao
12 Kang, Yun
12 Li, Fuyi
12 Liao, Jiafeng
12 Liu, Ping
12 Lou, Yuan
12 Ma, Zhanping
12 Rădulescu, Vicenţiu D.
12 Wang, Hao
12 Wang, Shin-Hwa
12 Zhang, Guohong
12 Zhang, Tonghua
12 Zhao, Hongyong
11 Chen, Caisheng
11 Cui, Renhao
11 Figueiredo, Giovany Malcher
11 Hung, Kuo-Chih
11 Li, Yi
11 Peng, Rui
11 Wang, Chuncheng
11 Wang, Xiaoli
11 Wang, Yuxia
11 Wu, Ranchao
11 Zou, Xingfu
10 Ghergu, Marius
10 Jin, Haiyang
10 Jin, Zhen
10 Kuto, Kousuke
10 Lei, Chunyu
10 Liang, Zhanping
10 Liu, Zhisu
10 Qi, Yuanwei
10 Wang, Zhian
10 Winkler, Michael
10 Zhang, Fubao
10 Zhang, Xuebing
10 Zhang, Zhijun
9 Ahn, Inkyung
9 Lee, Eunkyoung
9 Li, Wan-Tong
9 Li, Yan
9 Luo, Demou
9 da Silva Montenegro, Marcelo
9 Niu, Ben
9 Ruan, Shigui
9 Tao, Youshan
9 Wang, Feng-Bin
9 Wu, YiXiang
9 Xia, Yonghui
9 Yeh, Tzung-Shin
9 Yi, Fengqi
9 Zhang, Chunrui
9 Zhang, Cunhua
9 Zuo, Wenjie
8 Balachandran, Krishnan
8 Guo, Gaihui
8 Jiang, Fangfang
8 Li, You
8 Shi, Qingyan
8 Tehrani, Hossein Torabi
8 Wang, Ke
8 Xie, Zhifu
8 Yan, Baoqiang
8 Yang, Wenbin
...and 2,451 more Authors
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Cited in 248 Serials

171 Journal of Mathematical Analysis and Applications
166 Journal of Differential Equations
124 Nonlinear Analysis. Real World Applications
92 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
90 Discrete and Continuous Dynamical Systems. Series B
81 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
73 Applied Mathematics and Computation
62 Computers & Mathematics with Applications
53 ZAMP. Zeitschrift für angewandte Mathematik und Physik
53 Applied Mathematics Letters
51 Boundary Value Problems
47 Discrete and Continuous Dynamical Systems
47 Communications on Pure and Applied Analysis
44 Advances in Difference Equations
41 Nonlinear Dynamics
34 Abstract and Applied Analysis
33 Mathematical Methods in the Applied Sciences
33 Discrete Dynamics in Nature and Society
32 Journal of Mathematical Biology
32 Chaos, Solitons and Fractals
32 Mathematical Biosciences and Engineering
30 Calculus of Variations and Partial Differential Equations
29 Applicable Analysis
27 Communications in Nonlinear Science and Numerical Simulation
24 Journal of Dynamics and Differential Equations
23 International Journal of Biomathematics
20 Applied Mathematical Modelling
18 Qualitative Theory of Dynamical Systems
18 Discrete and Continuous Dynamical Systems. Series S
17 Journal of Mathematical Physics
17 Bulletin of Mathematical Biology
17 Mathematics and Computers in Simulation
16 Acta Applicandae Mathematicae
16 SIAM Journal on Applied Mathematics
15 Physica A
15 Journal of Functional Analysis
15 Communications in Contemporary Mathematics
15 Mediterranean Journal of Mathematics
15 AIMS Mathematics
13 Nonlinearity
13 Transactions of the American Mathematical Society
13 Topological Methods in Nonlinear Analysis
13 Nonlinear Analysis. Modelling and Control
13 Advanced Nonlinear Studies
13 Complex Variables and Elliptic Equations
12 Journal of Nonlinear Science
12 Electronic Journal of Differential Equations (EJDE)
12 Journal of Applied Analysis and Computation
11 Mathematical Biosciences
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11 Proceedings of the American Mathematical Society
11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 SIAM Journal on Mathematical Analysis
10 Journal of Applied Mathematics and Computing
10 Advances in Nonlinear Analysis
10 Journal of Function Spaces
9 Results in Mathematics
9 NoDEA. Nonlinear Differential Equations and Applications
9 Journal of Mathematical Chemistry
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 Mathematical Problems in Engineering
8 Journal of Biological Dynamics
8 Journal of Theoretical Biology
7 Computational and Applied Mathematics
7 Filomat
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7 Acta Mathematica Scientia. Series B. (English Edition)
7 SIAM Journal on Applied Dynamical Systems
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Mathematische Nachrichten
6 Acta Mathematicae Applicatae Sinica. English Series
6 Journal of Biological Systems
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Science China. Mathematics
6 Electronic Research Archive
6 SN Partial Differential Equations and Applications
5 Acta Mechanica
5 Journal of the Franklin Institute
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Communications in Partial Differential Equations
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Complexity
5 Differential Equations and Dynamical Systems
5 Journal of Inequalities and Applications
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Applied Nonlinear Dynamics
4 Stochastic Analysis and Applications
4 The Journal of Geometric Analysis
4 Celestial Mechanics and Dynamical Astronomy
4 Advances in Differential Equations
4 Chaos
4 Acta Mathematica Sinica. English Series
4 Annales Henri Poincaré
4 Acta Mathematica Scientia. Series A. (Chinese Edition)
3 Archive for Rational Mechanics and Analysis
3 Rocky Mountain Journal of Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Applied Mathematics and Optimization
3 Automatica
3 Mathematische Zeitschrift
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56 Global analysis, analysis on manifolds (58-XX)
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