# zbMATH — the first resource for mathematics

## Discrete Dynamics in Nature and Society

### An International Multidisciplinary Research and Review Journal

 Short Title: Discrete Dyn. Nat. Soc. Publisher: Hindawi, New York, NY ISSN: 1026-0226; 1607-887X/e Online: http://www.hindawi.com/journals/ddns/contents/http://www.emis.de/journals/HOA/DDNS/ Comments: The coverage of this journal is based on the electronic edition, bibliographic data of the print version may differ. This journal is available open access.
 Documents Indexed: 2,642 Publications (since 1997) References Indexed: 2,429 Publications with 63,097 References.
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#### Authors

 30 de la Sen, Manuel 27 Cao, Jinde 20 Stević, Stevo 16 Ma, Junhai 15 Chen, Fengde 15 Jin, Zhen 15 Yang, Xiaofan 13 Kim, Taekyun 12 Elaiw, Ahmed M. 12 Zhao, Min 11 Liu, Wanping 11 Xu, Rui 10 Li, Wan-Tong 10 Rachik, Mostafa 9 Ashyralyev, Allaberen 9 Cheng, Sui Sun 9 Huang, Weihong 9 Ibeas, Asier 9 Kulenović, Mustafa R. S. 9 Ma, Ruyun 9 Wang, Linlin 9 Xie, Xiangdong 9 Zhang, Fengqin 9 Zhou, Ping 8 Alonso Quesada, Santiago 8 Chen, Hanning 8 Eshaghi Gordji, Madjid 8 Huo, Hai-Feng 8 Liu, Zhijun 8 Michetti, Elisabetta 8 Teng, Zhi-dong 8 Vázquez-Leal, Héctor 8 Yang, Xiaosong 8 Yu, Hengguo 8 Zhang, Chunming 8 Zhang, Guang 7 Asada, Toichiro 7 Chen, Lansun 7 Dai, Chuanjun 7 Fan, Yonghong 7 Iričanin, Bratislav D. 7 Kang, Shugui 7 Khan, Abdul Qadeer 7 Liu, Jia-bao 7 Liu, Xiaohui 7 Mammana, Cristiana 7 Matsumoto, Akio 7 Sun, Yuangong 7 Yan, Jurang 6 Abdeljawad, Thabet 6 Antoniou, Ioannis E. 6 Chen, Huiqin 6 El-Dessoky, Mohamed M. 6 Elsayed, Elsayed Mohammed 6 Jiang, Haijun 6 Jun, Young Bae 6 Kim, Dae San 6 Li, Xuezhi 6 Li, Yongkun 6 Liu, Xia 6 Meng, Zhiqing 6 Noorani, Mohd Salmi Mohd 6 Ryoo, Cheon Seoung 6 Shao, Yuanfu 6 Wang, Shu 6 Wu, Qunying 6 Xue, Yakui 6 Yalcinkaya, Ibrahim 6 Yang, Chunde 6 Zhang, Weibin 6 Zhang, Zizhen 5 Alshehri, Noura Omair 5 Anishchenko, Vadim Semenovich 5 Balatif, Omar 5 Chen, Lijuan 5 Chen, Tingqiang 5 Chen, Yanguang 5 Çinar, Cengiz 5 Filobello-Nino, Uriel A. 5 Gao, Chenghua 5 Gardini, Laura 5 He, Jianmin 5 Hou, Chengmin 5 Hu, Shuhe 5 Kim, Junseok 5 Lee, Sang Hun 5 Liu, Youjun 5 Meng, Fanwei 5 Mukuddem-Petersen, Janine 5 Nistal, Raul 5 Petersen, Mark Adam 5 Qu, Shaojian 5 Rosser, John Barkley jun. 5 Shen, Rui 5 Shen, Wenguo 5 Sun, Taixiang 5 Vecchio, Antonia 5 Wang, Zhen 5 Wu, Yonghong 5 Xin, Baogui ...and 4,606 more Authors
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#### Fields

 538 Biology and other natural sciences (92-XX) 523 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 518 Ordinary differential equations (34-XX) 406 Operations research, mathematical programming (90-XX) 337 Dynamical systems and ergodic theory (37-XX) 332 Difference and functional equations (39-XX) 313 Systems theory; control (93-XX) 153 Partial differential equations (35-XX) 152 Numerical analysis (65-XX) 144 Probability theory and stochastic processes (60-XX) 138 Computer science (68-XX) 79 Statistics (62-XX) 73 Combinatorics (05-XX) 68 Information and communication theory, circuits (94-XX) 53 Operator theory (47-XX) 40 Number theory (11-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 34 Real functions (26-XX) 27 Mechanics of particles and systems (70-XX) 27 Fluid mechanics (76-XX) 23 General topology (54-XX) 23 Statistical mechanics, structure of matter (82-XX) 22 Integral equations (45-XX) 21 Mechanics of deformable solids (74-XX) 16 Functions of a complex variable (30-XX) 15 Quantum theory (81-XX) 14 Functional analysis (46-XX) 13 Special functions (33-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 General and overarching topics; collections (00-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 11 Geophysics (86-XX) 10 Measure and integration (28-XX) 9 Mathematical logic and foundations (03-XX) 9 Group theory and generalizations (20-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Approximations and expansions (41-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Relativity and gravitational theory (83-XX) 5 Optics, electromagnetic theory (78-XX) 4 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX)

#### Citations contained in zbMATH Open

1,105 Publications have been cited 4,207 times in 3,140 Documents Cited by Year
A short proof of the Cushing-Henson conjecture. Zbl 1149.39300
Stević, Stevo
2006
Permanence and periodic solution of predator-prey system with holling type functional response and impulses. Zbl 1146.37370
Wang, Weibing; Shen, Jianhua; Nieto, Juan J.
2007
Asymptotics of some classes of higher-order difference equations. Zbl 1180.39009
Stević, Stevo
2007
On well-posedness of the nonlocal boundary value problem for parabolic difference equations. Zbl 1077.39015
Ashyralyev, A.; Karatay, I.; Sobolevskii, P. E.
2004
On a new integral-type operator from the weighted Bergman space to the Bloch-type space on the unit ball. Zbl 1155.32002
Stević, Stevo
2008
Solution and attractivity for a rational recursive sequence. Zbl 1252.39008
Elsayed, E. M.
2011
On Riemann-Liouville and Caputo derivatives. Zbl 1213.26008
Li, Changpin; Qian, Deliang; Chen, Yangquan
2011
The fixed point method for fuzzy approximation of a functional equation associated with inner product spaces. Zbl 1221.39036
Eshaghi Gordji, M.; Khodaei, H.
2010
On the global asymptotic stability of a second-order system of difference equations. Zbl 1161.39013
Yalcinkaya, Ibrahim
2008
Propagation of computer virus under human intervention: a dynamical model. Zbl 1248.68074
Gan, Chenquan; Yang, Xiaofan; Liu, Wanping; Zhu, Qingyi; Zhang, Xulong
2012
On the behaviour of the solutions of a second-order difference equation. Zbl 1180.39002
Gutnik, Leonid; Stević, Stevo
2007
Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations. Zbl 1094.65077
Ashyralyev, Allaberen; Sobolevskii, Pavel E.
2005
On monotone solutions of some classes of difference equations. Zbl 1109.39013
Stević, Stevo
2006
On the global asymptotic stability of switched linear time-varying systems with constant point delays. Zbl 1166.34040
De La Sen, M.; Ibeas, A.
2008
Almost periodic functions on time scales and applications. Zbl 1232.26055
Li, Yongkun; Wang, Chao
2011
A delayed epidemic model with pulse vaccination. Zbl 1149.92329
Wei, Chunjin; Chen, Lansun
2008
On a max-type difference equation. Zbl 1152.39016
Yalçinkaya, I.; Iričanin, B. D.; Çinar, C.
2007
Propagation behavior of virus codes in the situation that infected computers are connected to the Internet with positive probability. Zbl 1248.68077
Yang, Lu-Xing; Yang, Xiaofan
2012
Global stability for a binge drinking model with two stages. Zbl 1253.91157
Huo, Hai-Feng; Song, Na-Na
2012
Fractional sums and differences with binomial coefficients. Zbl 1264.26006
2013
Algebro-geometric solutions for a discrete integrable equation. Zbl 1397.37080
Tao, Mengshuang; Dong, Huanhe
2017
On the recursive sequence $$x_{n+1}=A+x_{n}^{p}/x_{n-1}^{p}$$. Zbl 1180.39007
Stević, Stevo
2007
Stochastic stability of neural networks with both Markovian jump parameters and continuously distributed delays. Zbl 1185.93147
Zhu, Quanxin; Cao, Jinde
2009
Robustly stable multiestimation scheme for adaptive control and identification with model reduction issues. Zbl 1102.93027
Bilbao-Guillerna, A.; De La Sen, M.; Ibeas, A.; Alonso-Quesada, S.
2005
Permanence for a discrete model with feedback control and delay. Zbl 1149.39003
Fan, Yong-Hong; Wang, Lin-Lin
2008
Permanence and global stability of positive solutions of a nonautonomous discrete ratio-dependent predator-prey model. Zbl 1111.39007
Huo, Hai-Feng; Li, Wan-Tong
2005
Coupled fixed point theorems under weak contractions. Zbl 1250.54046
2012
Feedback control variables have no influence on the permanence of a discrete $$N$$-species cooperation system. Zbl 1185.93072
Chen, Liujuan; Xie, Xiangdong; Chen, Lijuan
2009
On delta and nabla Caputo fractional differences and dual identities. Zbl 1417.26002
2013
Analysis of a delayed SIR model with nonlinear incidence rate. Zbl 1159.92037
Zhang, Jin-Zhu; Jin, Zhen; Liu, Quan-Xing; Zhang, Zhi-Yu
2008
A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems. Zbl 1194.90104
Cholamjiak, Watcharaporn; Suantai, Suthep
2010
A general discrete time model of population dynamics in the presence of an infection. Zbl 1177.39014
Izzo, Giuseppe; Muroya, Yoshiaki; Vecchio, Antonia
2009
The emergence of bull and bear dynamics in a nonlinear model of interacting markets. Zbl 1176.91082
Tramontana, Fabio; Gardini, Laura; Dieci, Roberto; Westerhoff, Frank
2009
Dynamic behaviors of a harvesting Leslie-Gower predator-prey model. Zbl 1213.37129
Zhang, Na; Chen, Fengde; Su, Qianqian; Wu, Ting
2011
Global asymptotic stability of a predator-prey model with modified Leslie-Gower and Holling-type II schemes. Zbl 1248.34050
Yu, Shengbin
2012
Asymptotic behavior of a class of nonlinear difference equations. Zbl 1121.39006
Stević, Stevo
2006
Using chaos synchronization to estimate the largest Lyapunov exponent of nonsmooth systems. Zbl 0984.37031
Stefanski, Andrzej; Kapitaniak, Tomasz
2000
Complexity analysis of a Cournot-Bertrand duopoly game model with limited information. Zbl 1264.91066
Wang, Hongwu; Ma, Junhai
2013
On the asymptotic behavior of a difference equation with maximum. Zbl 1155.39008
Sun, Fangkuan
2008
On the recursive sequence $$x_{n+1}=A+x_{n}^{p}/x_{n-1}^{r}$$. Zbl 1151.39011
Stević, Stevo
2007
Global dynamics of an HIV infection model with two classes of target cells and distributed delays. Zbl 1253.37082
Elaiw, A. M.
2012
Arbitrary order fractional difference operators with discrete exponential kernels and applications. Zbl 1373.39015
Abdeljawad, Thabet; Al-Mdallal, Qasem M.; Hajji, Mohamed A.
2017
Well-posedness of difference elliptic equation. Zbl 0928.39002
Sobolevskii, Pavel E.
1997
On a discrete epidemic model. Zbl 1180.39004
Stević, Stevo
2007
Towards the epidemiological modeling of computer viruses. Zbl 1253.68036
Yang, Xiaofan; Yang, Lu-Xing
2012
Stability analysis and optimal control of a vector-borne disease with nonlinear incidence. Zbl 1253.93090
Ozair, Muhammad; Lashari, Abid Ali; Jung, Il Hyo; Okosun, Kazeem Oare
2012
Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks. Zbl 1135.39008
Xiang, Hong; Yan, Ke-Ming; Wang, Bai-Yan
2005
Global behavior of four competitive rational systems of difference equations in the plane. Zbl 1177.37046
Garić-Demirović, M.; Kulenović, M. R. S.; Nurkanović, M.
2009
Furstenberg families and sensitivity. Zbl 1187.37016
Wang, Huoyun; Xiong, Jincheng; Tan, Feng
2010
On boundedness of the solutions of the difference equation $$x_{n+1}=x_{n-1}/(p+x_{n})$$. Zbl 1149.39301
Sun, Taixiang; Xi, Hongjian; Wu, Hui
2006
On Chung-Teicher type strong law of large numbers for $$\rho ^{\ast }$$-mixing random variables. Zbl 1145.60308
Kuczmaszewska, Anna
2008
Stability of the positive point of equilibrium of Nicholson’s blowflies equation with stochastic perturbations: numerical analysis. Zbl 1179.60039
2007
Exploring the $$q$$-Riemann zeta function and $$q$$-Bernoulli polynomials. Zbl 1128.11009
Kim, T.; Ryoo, C. S.; Jang, L. C.; Rim, S. H.
2005
$$p$$-adic discrete dynamical systems and collective behaviour of information states in cognitive models. Zbl 1229.37128
Khrennikov, Andrei
2000
On the solutions of a general system of difference equations. Zbl 1244.39001
Elsayed, E. M.; El-Dessoky, M. M.; Alotaibi, Abdullah
2012
Permanence of a discrete periodic Volterra model with mutual interference. Zbl 1178.39004
Chen, Lijuan; Chen, Liujuan
2009
Impulsivity in binary choices and the emergence of periodicity. Zbl 1178.37129
Bischi, Gian Italo; Gardini, Laura; Merlone, Ugo
2009
Permanence of a discrete model of mutualism with infinite deviating arguments. Zbl 1188.39007
Li, Xuepeng; Yang, Wensheng
2010
On the numerical solution of fractional parabolic partial differential equations with the Dirichlet condition. Zbl 1248.65085
Ashyralyev, Allaberen; Cakir, Zafer
2012
Some formulae of products of the Apostol-Bernoulli and Apostol-Euler polynomials. Zbl 1263.11032
He, Yuan; Wang, Chunping
2012
Model-matching-based control of the Beverton-Holt equation in ecology. Zbl 1149.92029
De La Sen, M.; Alonso-Quesada, S.
2008
On global exponential stability of discrete-time Hopfield neural networks with variable delays. Zbl 1183.39013
Zhang, Qiang; Wei, Xiaopeng; Xu, Jin
2007
Stage-structured impulsive $$SI$$ model for pest management. Zbl 1146.37368
Shi, Ruiqing; Chen, Lansun
2007
On generalized Bell polynomials. Zbl 1272.11039
Corcino, Roberto B.; Corcino, Cristina B.
2011
Controlling Hopf bifurcations: discrete-time systems. Zbl 1229.93113
Chen, Guanrong; Fang, Jin-Quing; Hong, Yiguang; Qin, Huashu
2000
Complete convergence for arrays of rowwise asymptotically almost negatively associated random variables. Zbl 1235.60026
Wang, Xuejun; Hu, Shuhe; Yang, Wenzhi
2011
Multi-state dependent impulsive control for Holling I predator-prey model. Zbl 1250.34037
Cheng, Huidong; Wang, Fang; Zhang, Tongqian
2012
Analyzing the dynamics of a rumor transmission model with incubation. Zbl 1244.91079
Huo, Liang’an; Huang, Peiqing; Guo, Chun-xiang
2012
Boundedness and stability for discrete-time delayed neural network with complex-valued linear threshold neurons. Zbl 1200.39006
Duan, Chengjun; Song, Qiankun
2010
Neimark-Sacker bifurcation in a discrete-time financial system. Zbl 1195.91189
Xin, Baogui; Chen, Tong; Ma, Junhai
2010
A fixed point approach to the stability of a general mixed AQCQ-functional equation in non-Archimedean normed spaces. Zbl 1198.39041
Xu, Tian Zhou; Rassias, John Michael; Xu, Wan Xin
2010
Global dynamics of an epidemic model with a ratio-dependent nonlinear incidence rate. Zbl 1177.37089
Yuan, Sanling; Li, Bo
2009
Complete convergence for weighted sums of $$\rho \ast$$-mixing random variables. Zbl 1193.60045
Sung, Soo Hak
2010
Convergence properties for asymptotically almost negatively associated sequence. Zbl 1207.60025
Wang, Xuejun; Hu, Shuhe; Yang, Wenzhi
2010
Homotopy analysis method for second-order boundary value problems of integrodifferential equations. Zbl 1248.65084
El-Ajou, Ahmad; Arqub, Omar Abu; Momani, Shaher
2012
Permanence of a discrete predator-prey system with Beddington-DeAngelis functional response and feedback controls. Zbl 1147.39007
Li, Xuepeng; Yang, Wensheng
2008
Fixed points of generalized $$F$$-Suzuki type contraction in complete $$b$$-metric spaces. Zbl 1418.54022
Alsulami, Hamed Hamdan; Karapınar, Erdal; Piri, Hossein
2015
Extinction and permanence of a three-species Lotka-Volterra system with impulsive control strategies. Zbl 1167.34350
Baek, Hunki
2008
Nonlocal boundary value problems for elliptic-parabolic differential and difference equations. Zbl 1168.35397
Ashyralyev, Allaberen; Gercek, Okan
2008
Synchronization analysis of two coupled complex networks with time delays. Zbl 1259.34074
Sun, Weigang; Zhang, Jingyuan; Li, Changpin
2011
On complete convergence of moving average process for AANA sequence. Zbl 1247.60043
Yang, Wenzhi; Wang, Xuejun; Ling, Nengxiang; Hu, Shuhe
2012
Stability of nonlinear autonomous quadratic discrete systems in the critical case. Zbl 1200.39005
Diblík, Josef; Khusainov, Denys Ya.; Grytsay, Irina V.; Šmarda, Zdenĕk
2010
Composition operators from the weighted Bergman space to the $$n$$th weighted spaces on the unit disc. Zbl 1178.32003
Stević, Stevo
2009
Permanence and global stability of positive periodic solutions of a discrete competitive system. Zbl 1178.39027
Qin, Wenjie; Liu, Zhijun; Chen, Yiping
2009
Generalized Hyers-Ulam-Rassias theorem in Menger probabilistic normed spaces. Zbl 1189.39029
Eshaghi Gordji, M.; Ghaemi, M. B.; Majani, H.
2010
An impulse model for computer viruses. Zbl 1248.68079
Zhang, Chunming; Zhao, Yun; Wu, Yingjiang
2012
A stochastic dynamic model of computer viruses. Zbl 1248.68080
Zhang, Chunming; Zhao, Yun; Wu, Yingjiang; Deng, Shuwen
2012
An SLBRS model with vertical transmission of computer virus over the Internet. Zbl 1248.68078
Yang, Maobin; Zhang, Zhufan; Li, Qiang; Zhang, Gang
2012
Strong and weak convergence for asymptotically almost negatively associated random variables. Zbl 1269.60036
Shen, Aiting; Wu, Ranchao
2013
On Ulam’s type stability of the linear equation and related issues. Zbl 1419.39053
Brzdęk, Janusz; Ciepliński, Krzysztof; Leśniak, Zbigniew
2014
Huang, Weihong
2001
A note on the global attractivity of a discrete model of Nicholson’s blowflies. Zbl 0962.39011
Zhang, B. G.; Xu, H. X.
1999
About the properties of a modified generalized Beverton-Holt equation in ecology models. Zbl 1148.92031
De La Sen, M.
2008
Strong laws of large numbers for arrays of rowwise $$\rho ^{\ast }$$-mixing random variables. Zbl 1181.60044
Zhu, Meng-Hu
2007
On the recursive sequence $$x_{n}=1+\sum _{i=1}^{k}\alpha_i x_{n - p_{i}}/\sum _{j=1}^{m} \beta _{j}x_{n - q_j}$$. Zbl 1180.39006
Stević, Stevo
2007
A global convergence result for a higher order difference equation. Zbl 1180.39003
Iričanin, Bratislav D.
2007
Complex behavior in a fish algae consumption model with impulsive control strategy. Zbl 1233.92080
Yang, Jin; Zhao, Min
2011
More on three-dimensional systems of rational difference equations. Zbl 1382.39013
Keying, Liu; Zhongjian, Zhao; Xiaorui, Li; Peng, Li
2011
Adaptive pinning synchronization of complex networks with stochastic perturbations. Zbl 1198.34090
Yang, Xinsong; Cao, Jinde
2010
Analysis of a simple vector-host epidemic model with direct transmission. Zbl 1190.92029
Cai, Liming; Li, Xuezhi
2010
Chaos on discrete neural network loops with self-feedback. Zbl 1459.37030
Chen, Yuanlong; Wu, Xiaoying
2020
A full stage data augmentation method in deep convolutional neural network for natural image classification. Zbl 07223634
Zheng, Qinghe; Yang, Mingqiang; Tian, Xinyu; Jiang, Nan; Wang, Deqiang
2020
Hopf bifurcation and Turing instability analysis for the Gierer-Meinhardt model of the depletion type. Zbl 1443.35011
Gu, Lianchao; Gong, Peiliang; Wang, Hongqing
2020
Flip and Neimark-Sacker bifurcations in a coupled logistic map system. Zbl 1459.37038
Mareno, A.; English, L. Q.
2020
Modeling a rumor propagation in online social network: an optimal control approach. Zbl 1459.91122
Ghazzali, Rachid; El Bhih, Amine; El Alami Laaroussi, Adil; Rachik, Mostafa
2020
Fractional hybrid differential equations and coupled fixed-point results for $$\alpha$$-admissible $$F\left( \psi_1, \psi_2\right)$$-contractions in $$M$$-metric spaces. Zbl 1459.54029
Karapinar, Erdal; Moustafa, Shimaa I.; Shehata, Ayman; Agarwal, Ravi P.
2020
Global stability and dynamic analysis for a type of macroeconomic systems. Zbl 1459.91099
Yang, Ya-Juan; Ma, Ru-Fei; Zhang, Jing
2020
Synchronizability of multilayer star and star-ring networks. Zbl 1459.34125
Deng, Yang; Jia, Zhen; Yang, Feimei
2020
Numerical solution of fractional-order HIV model using homotopy method. Zbl 1459.92111
Aljhani, Sami; Noorani, Mohd Salmi Md; Alomari, A. K.
2020
A discrete mathematical modeling and optimal control of the rumor propagation in online social network. Zbl 1459.91133
El Bhih, Amine; Ghazzali, Rachid; Ben Rhila, Soukaina; Rachik, Mostafa; El Alami Laaroussi, Adil
2020
Hyers-Ulam stability for quantum equations of Euler type. Zbl 1459.39051
Anderson, Douglas R.; Onitsuka, Masakazu
2020
Decisions on dual-channel supply chains under market fluctuations and dual-risk aversion. Zbl 1444.90016
Liu, Guangdong; Yang, Tianjian; Wei, Yao; Zhang, Xuemei
2020
Bifurcation analysis of a discrete-time two-species model. Zbl 1447.92346
Khan, A. Q.
2020
Mathematical modeling, analysis, and optimal control of abstinence behavior of registration on the electoral lists. Zbl 1444.91183
Balatif, Omar; Khajji, Bouchaib; Rachik, Mostafa
2020
Applications of graph Kannan mappings to the damped spring-mass system and deformation of an elastic beam. Zbl 1453.05127
Younis, Mudasir; Singh, Deepak; Petruşel, Adrian
2019
On the stability and multistability in a duopoly game with R&D spillover and price competition. Zbl 1453.91068
Zhou, Wei; Wang, Xiao-Xue
2019
Dynamics of an impulsive stochastic nonautonomous chemostat model with two different growth rates in a polluted environment. Zbl 1453.92206
Li, Yajie; Meng, Xinzhu
2019
Double delayed feedback control of a nonlinear finance system. Zbl 1453.91112
Jiang, Zhichao; Guo, Yanfen; Zhang, Tongqian
2019
Rough hyperfilters in po-LA-semihypergroups. Zbl 1453.06017
Bouaziz, Ferdaous; Yaqoob, Naveed
2019
Projective synchronization of nonidentical fractional-order memristive neural networks. Zbl 1453.92012
Chen, Chong; Ding, Zhixia
2019
Bifurcation, chaos, and pattern formation for the discrete predator-prey reaction-diffusion model. Zbl 1453.92253
Meng, Lili; Han, Yutao; Lu, Zhiyi; Zhang, Guang
2019
Similarity measures between temporal complex intuitionistic fuzzy sets and application in pattern recognition and medical diagnosis. Zbl 1453.03059
Khalaf, Mohammed M.; Alharbi, Sayer Obaid; Chammam, Wathek
2019
New characterizations of weights in Hardy and Opial type inequalities via solvability of dynamic equations. Zbl 1453.26031
Saker, S. H.; Sayed, A. G.; Sikorska-Nowak, A.; Abohela, I.
2019
The stochastic stability of internal HIV models with Gaussian white noise and Gaussian colored noise. Zbl 1453.92326
Wang, Xiying; Li, Yuanxiao; Wang, Xiaomei
2019
Bifurcation of a fractional-order delayed malware propagation model in social networks. Zbl 1453.34094
Xu, Changjin; Liao, Maoxin; Li, Peiluan
2019
Distance-based congestion pricing with day-to-day dynamic traffic flow evolution process. Zbl 1453.90043
Cheng, Qixiu; Xing, Jiping; Yi, Wendy; Liu, Zhiyuan; Fu, Xiao
2019
On some conditions for strong law of large numbers for weighted sums of END random variables under sublinear expectations. Zbl 1453.60077
Ma, Xiaochen; Wu, Qunying
2019
PSEM approximations for both branches of Lambert $$W$$ function with applications. Zbl 1453.33017
Vazquez-Leal, H.; Sandoval-Hernandez, M. A.; Garcia-Gervacio, J. L.; Herrera-May, A. L.; Filobello-Nino, U. A.
2019
Pricing Chinese convertible bonds with default intensity by Monte Carlo method. Zbl 1453.91098
Luo, Xin; Zhang, Jinlin
2019
Some types of convergence for negatively dependent random variables under sublinear expectations. Zbl 1453.60073
Wang, Ruixue; Wu, Qunying
2019
Prey-predator interactions in two and three species population models. Zbl 1453.92272
Wikan, Arild; Kristensen, Ørjan
2019
Global properties of a general latent pathogen dynamics model with delayed pathogenic and cellular infections. Zbl 1453.92296
Elaiw, A. M.; Almatrafi, A. A.; Hobiny, A. D.; Hattaf, K.
2019
Stability analysis and control optimization of a prey-predator model with linear feedback control. Zbl 1417.92142
Li, Yaning; Li, Yan; Liu, Yu; Cheng, Huidong; Khan, Abdul Qadeer
2018
The asymptotic behavior of solutions for a class of nonlinear fractional difference equations with damping term. Zbl 1417.39036
Bai, Zhihong; Xu, Run
2018
Optimal control strategy for a discrete time smoking model with specific saturated incidence rate. Zbl 1417.92072
Labzai, Abderrahim; Balatif, Omar; Rachik, Mostafa
2018
Stability and threshold of a stochastic SIRS epidemic model with vertical transmission and transfer from infectious to susceptible individuals. Zbl 1417.92180
Kiouach, Driss; Sabbar, Yassine
2018
Generalized rough fuzzy ideals in quantales. Zbl 1417.06012
2018
On $$(\in, \in \vee q_k)$$-fuzzy hyperideals in ordered LA-semihypergroups. Zbl 1417.06015
2018
A discrete mathematical modeling and optimal control of the electoral behavior with regard to a political party. Zbl 1422.91634
Balatif, Omar; Labzai, Abderrahim; Rachik, Mostafa
2018
On the solutions of a system of third-order rational difference equations. Zbl 1417.39010
Alotaibi, A. M.; Noorani, M. S. M.; El-Moneam, M. A.
2018
Government reward-penalty mechanism in closed-loop supply chain based on dynamics game theory. Zbl 1422.91172
Zhang, Xiaoqing; Su, Yingsheng; Yuan, Xigang
2018
The metric dimension of some generalized Petersen graphs. Zbl 1417.05054
Shao, Zehui; Sheikholeslami, S. M.; Wu, Pu; Liu, Jia-Biao
2018
Nemytzki-Edelstein-Meir-Keeler type results in $$b$$-metric spaces. Zbl 1417.54022
2018
Boundedness and asymptotic stability for the solution of homogeneous Volterra discrete equations. Zbl 1417.39040
Messina, E.; Vecchio, A.
2018
Feedback control and parameter invasion for a discrete competitive Lotka-Volterra system. Zbl 1417.92163
Xu, Li; Lou, Shanshan; Xu, Panqi; Zhang, Guang
2018
Nash equilibrium strategy for a DC pension plan with state-dependent risk aversion: a multiperiod mean-variance framework. Zbl 1422.91670
Wang, Liyuan; Chen, Zhiping
2018
Dynamics and solutions of a fifth-order nonlinear difference equation. Zbl 1417.39004
El-Dessoky, M. M.; Elabbasy, E. M.; Asiri, Asim
2018
Global attractivity and extinction of a discrete competitive system with infinite delays and single feedback control. Zbl 1417.92162
Xue, Yalong; Xie, Xiangdong; Lin, Qifa; Chen, Fengde
2018
Numerical study of random periodic Lipschitz shadowing of stochastic differential equations. Zbl 1417.60054
Zhan, Qingyi; Xie, Xiangdong
2018
Existence results for fractional differential equations with multistrip Riemann-Stieltjes integral boundary conditions. Zbl 1417.34018
Lv, Tongling; Pang, Huihui; Cao, Limei
2018
Reconstruction of the time-dependent volatility function using the Black-Scholes model. Zbl 1422.91766
Jin, Yuzi; Wang, Jian; Kim, Sangkwon; Heo, Youngjin; Yoo, Changwoo; Kim, Youngrock; Kim, Junseok; Jeong, Darae
2018
A note on strategic stability of cooperative solutions for multistage games. Zbl 1422.91106
Wang, Lei; Liu, Cui; Xue, Juan; Gao, Hongwei
2018
Dynamical behaviors of a stochastic SIQR epidemic model with quarantine-adjusted incidence. Zbl 1417.92171
Cao, Zhongwei; Zhou, Shengjuan
2018
Image encryption technology based on fractional two-dimensional triangle function combination discrete chaotic map coupled with Menezes-Vanstone elliptic curve cryptosystem. Zbl 1417.94070
Liu, Zeyu; Xia, Tiecheng; Wang, Jinbo
2018
A stochastic SIR epidemic system with a nonlinear relapse. Zbl 1417.92173
2018
Some nonlinear delay Volterra-Fredholm type dynamic integral inequalities on time scales. Zbl 1417.26006
Tian, Yazhou; El-Deeb, A. A.; Meng, Fanwei
2018
Investigating a coupled hybrid system of nonlinear fractional differential equations. Zbl 1417.34014
2018
Global asymptotic stability and Naimark-Sacker bifurcation of certain mix monotone difference equation. Zbl 1417.39052
Kulenović, M. R. S.; Moranjkić, S.; Nurkanović, M.; Nurkanović, Z.; Khan, Abdul Qadeer
2018
Pricing option with stochastic interest rates and transaction costs in fractional Brownian markets. Zbl 1422.91722
Song, Lina; Li, Kele
2018
Global dynamics of some $$3 \times 6$$ systems of exponential difference equations. Zbl 1417.39039
Khan, A. Q.; Sharif, A.
2018
The entropy of weighted graphs with atomic bond connectivity edge weights. Zbl 1417.05091
Kwun, Young Chel; ur Rehman, Hafiz Mutee; Yousaf, Muhammad; Nazeer, Waqas; Kang, Shin Min
2018
Complex dynamics in an evolutionary general equilibrium model. Zbl 1422.91477
2018
Uniqueness and novel finite-time stability of solutions for a class of nonlinear fractional delay difference systems. Zbl 1417.39060
Luo, Danfeng; Luo, Zhiguo; Hendy, Ahmed S.
2018
The existence results of solutions for system of fractional differential equations with integral boundary conditions. Zbl 1417.34028
Zan, Dongxia; Xu, Run
2018
On dynamical behavior of discrete time fuzzy logistic equation. Zbl 1417.39063
Zhang, Qianhong; Lin, Fubiao
2018
Optimal control of rumor spreading model with consideration of psychological factors and time delay. Zbl 1422.91595
Huo, Liang&rsquo;an; Ma, Chenyang
2018
New family of iterative methods for solving nonlinear models. Zbl 1417.39071
2018
Existence and attractivity for fractional evolution equations. Zbl 1417.34032
Zhou, Yong; He, Jia Wei; Ahmad, Bashir; Alsaedi, Ahmed
2018
Dynamic vehicle routing problems with enhanced ant colony optimization. Zbl 1417.90035
Xu, Haitao; Pu, Pan; Duan, Feng
2018
The bifurcation of two invariant closed curves in a discrete model. Zbl 1417.39053
Zhang, Yingying; Zhou, Yicang
2018
Numerical contour integral methods for free-boundary partial differential equations arising in American volatility options pricing. Zbl 1417.91551
Chen, Yong; Ma, Jianjun
2018
Application and optimal control for an HBV model with vaccination and treatment. Zbl 1417.92099
Zhang, Jing; Zhang, Suxia
2018
Proactive hedging European call option pricing with linear position strategy. Zbl 1422.91712
Li, Meng; Wang, Xuefeng; Sun, Fangfang
2018
Asymptotic properties of solutions to second-order difference equations of Volterra type. Zbl 1417.39041
Migda, Janusz; Migda, Małgorzata; Nockowska-Rosiak, Magdalena
2018
On topological indices of fractal and Cayley tree type dendrimers. Zbl 1417.05231
Imran, Muhammad; Baig, Abdul Qudair; Khalid, Waqas
2018
Group decision-making approach without weighted aggregation operators. Zbl 1422.91220
Jiang, Min; Meng, Zhiqing; Shen, Rui
2018
On the $$Q$$-$$S$$ chaos synchronization of fractional-order discrete-time systems: general method and examples. Zbl 1435.39003
Ouannas, Adel; Khennaoui, Amina-Aicha; Grassi, Giuseppe; Bendoukha, Samir
2018
New qualitative results for solutions of functional differential equations of second order. Zbl 1417.34166
Tunç, Cemil; Erdur, Sultan; Khan, Abdul Qadeer
2018
A triangular personalized recommendation algorithm for improving diversity. Zbl 1422.91187
Cai, Biao; Yang, Xiaowang; Huang, Yusheng; Li, Hongjun; Sang, Qiang
2018
Pricing vulnerable European options under Lévy process with stochastic volatility. Zbl 1422.91714
Ma, Chaoqun; Yue, Shengjie; Ren, Yishuai
2018
Holling-Tanner predator-prey model with state-dependent feedback control. Zbl 1417.92164
Yang, Jin; Tang, Guangyao; Tang, Sanyi
2018
Exponential stability and robust $$H_\infty$$ control for discrete-time time-delay infinite Markov jump systems. Zbl 1417.93328
Liu, Yueying; Hou, Ting; Khan, Abdul Qadeer
2018
The Harary index of all unicyclic graphs with given diameter. Zbl 1417.05055
Xing, Bao-Hua; Yu, Gui-Dong; Wang, Li-Xiang; Cao, Jinde
2018
The impact of media coverage and emergency strategies on the rumor spreading. Zbl 1422.91594
Huo, Liang&rsquo;an; Cheng, Yingying
2018
A family of integrable different-difference equations, its Hamiltonian structure, and Darboux-Bäcklund transformation. Zbl 1417.39062
Xu, Xi-Xiang; Xu, Meng
2018
Quality and pricing decisions in a two-echelon supply chain with Nash bargaining fairness concerns. Zbl 1422.90006
Li, Ji-cai; Lu, Ji-hong; Wang, Qi-liang; Li, Changwen
2018
Metaheuristics for order scheduling problem with unequal ready times. Zbl 1417.90079
Kung, Jan-Yee; Duan, Jiahui; Xu, Jianyou; Chung, I-Hong; Cheng, Shuenn-Ren; Wu, Chin-Chia; Lin, Win-Chin
2018
A solvable dynamic principal-agent model with linear marginal productivity. Zbl 1422.91435
Liu, Bing; Yin, Zheng; Lai, Chong
2018
Control of chaos in a single machine infinite bus power system using the discrete sliding mode control technique. Zbl 1417.93107
Zribi, Mohamed; Alrifai, Muthana T.; Smaoui, Nejib
2018
Global stability of malaria transmission dynamics model with logistic growth. Zbl 1417.92176
2018
Laplace transform method for pricing American CEV strangles option with two free boundaries. Zbl 1422.91735
Zhou, Zhiqiang; Wu, Hongying
2018
Dynamic behaviors of a nonautonomous impulsive competitive system with the effect of toxic substance. Zbl 1417.92127
Chen, Lijuan; Chen, Fengde; Chen, Liujuan
2018
Dynamics and stability analysis of a brucellosis model with two discrete delays. Zbl 1417.92188
2018
Dynamics and patterns of a diffusive prey-predator system with a group defense for prey. Zbl 1417.92167
Zhu, Honglan; Zhang, Xuebing
2018
Pricing decisions of a dual-channel supply chain considering supply disruption risk. Zbl 1417.90040
Zhou, Yancong; Feng, Jin; Wei, Jie; Sun, Xiaochen
2018
Stability and Hopf bifurcation analysis in a delayed Myc/E2F/miR-17-92 network involving interlinked positive and negative feedback loops. Zbl 1417.92066
Wang, Guiyuan; Yang, Zhuoqin
2018
The existence, uniqueness, and controllability of neutral stochastic delay partial differential equations driven by standard Brownian motion and fractional Brownian motion. Zbl 1417.60058
Ruan, Dehao; Luo, Jiaowan
2018
Analysis of adaptive synchronization for stochastic neutral-type memristive neural networks with mixed time-varying delays. Zbl 1417.93168
Hong, Desheng; Xiong, Zuoliang; Yang, Cuiping
2018
Minimizing the makespan for a two-stage three-machine assembly flow shop problem with the sum-of-processing-time based learning effect. Zbl 1417.90081
Lin, Win-Chin
2018
Explicit pricing formulas for European option with asset exposed to double defaults risk. Zbl 1422.91701
He, Taoshun
2018
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#### Cited by 4,609 Authors

 90 Stević, Stevo 69 de la Sen, Manuel 48 Ashyralyev, Allaberen 33 Agarwal, Ravi P. 29 Ibeas, Asier 28 Ma, Junhai 27 Elsayed, Elsayed Mohammed 25 Kim, Taekyun 24 Alonso Quesada, Santiago 24 Iričanin, Bratislav D. 24 Yang, Xiaofan 22 Chen, Fengde 21 Eshaghi Gordji, Madjid 21 Zhao, Min 20 Cao, Jinde 20 Xie, Xiangdong 19 Elaiw, Ahmed M. 19 Wang, Xuejun 18 Abdeljawad, Thabet 18 Hu, Shuhe 17 Chen, Lansun 17 Diblík, Josef 17 Din, Qamar 17 Huo, Hai-Feng 16 Kim, Dae San 14 Araci, Serkan 14 Cho, Yeol Je 14 Karapınar, Erdal 14 Li, Yongkun 14 Šmarda, Zdeněk 13 Gardini, Laura 13 Liu, Wanping 13 Papaschinopoulos, Garyfalos 13 Ryoo, Cheon Seoung 13 Xu, Changjin 12 Băleanu, Dumitru I. 12 Dai, Chuanjun 12 El-Dessoky, Mohamed M. 12 Teng, Zhi-dong 12 Zhang, Zizhen 12 Zhu, Quanxin 11 Liu, Zhijun 11 Michetti, Elisabetta 11 Naimzada, Ahmad K. 11 Sun, Taixiang 11 Wang, Jinrong 11 Yang, Hongwei 11 Yang, Luxing 10 Acikgoz, Mehmet 10 Gori, Luca 10 Schinas, Christos J 10 Shaikhet, Leonid Efimovich 10 Shen, Aiting 10 Yang, Wenzhi 10 Yu, Hengguo 9 Al-Smadi, Mohammed H. 9 Arqub, Omar Abu 9 Chen, Hanning 9 Cheng, Huidong 9 Elsadany, Abdelalim A. 9 Fan, Yonghong 9 Guerrini, Luca 9 Hattaf, Khalid 9 Kumam, Poom 9 Kumar Upadhyay, Ranjit 9 Nieto Roig, Juan Jose 9 Rachik, Mostafa 9 Sodini, Mauro 9 Xi, Hongjian 9 Xiang, Hong 9 You, Xiong 9 Zhong, Shou-Ming 8 Alghamdi, Mohammed Ali 8 Alotaibi, Abdullah M. 8 Alzabut, Jehad O. 8 Avrutin, Viktor 8 Azadi-Kenary, Hassan 8 Chen, Yanguang 8 Çinar, Cengiz 8 Gan, Chenquan 8 Ibrahim, Rabha Waell 8 Khodaei, Hamid 8 Kulenović, Mustafa R. S. 8 Mammana, Cristiana 8 Momani, Shaher M. 8 Nistal, Raul 8 Noorani, Mohd Salmi Mohd 8 Park, Choonkil 8 Pireddu, Marina 8 Rassias, John Michael 8 Vecchio, Antonia 8 Wu, Yonghong 8 Xin, Baogui 8 Yalcinkaya, Ibrahim 8 Zhang, Fuchen 8 Zhang, Tongqian 7 Bi, Dianjie 7 Dal Forno, Arianna 7 Dong, Huanhe 7 Jin, Zhen ...and 4,509 more Authors
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#### Cited in 388 Journals

 545 Discrete Dynamics in Nature and Society 226 Abstract and Applied Analysis 211 Advances in Difference Equations 172 Applied Mathematics and Computation 104 Mathematical Problems in Engineering 75 Chaos, Solitons and Fractals 57 Journal of Applied Mathematics 52 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 51 Complexity 48 Nonlinear Dynamics 37 Nonlinear Analysis. Real World Applications 36 Journal of the Franklin Institute 35 Computers & Mathematics with Applications 35 Mathematical Methods in the Applied Sciences 35 Communications in Nonlinear Science and Numerical Simulation 32 Journal of Difference Equations and Applications 30 Mathematical Biosciences and Engineering 29 Journal of Function Spaces 26 Journal of Mathematical Analysis and Applications 26 Journal of Inequalities and Applications 26 International Journal of Biomathematics 25 Mathematics and Computers in Simulation 25 Chaos 24 Journal of Mathematics 23 Journal of Computational and Applied Mathematics 22 Journal of Applied Mathematics and Computing 22 Journal of Applied Analysis and Computation 21 Boundary Value Problems 21 Journal of Nonlinear Science and Applications 20 Applied Mathematical Modelling 19 Computational and Applied Mathematics 18 International Journal of Mathematics and Mathematical Sciences 18 Applied Mathematics Letters 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Fixed Point Theory and Applications 16 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 15 Journal of Biological Dynamics 13 Journal of Economic Dynamics & Control 13 Journal of Mathematical Chemistry 13 Nonlinear Analysis. Modelling and Control 13 Mathematics 12 Mathematical and Computer Modelling 12 Mediterranean Journal of Mathematics 11 Discrete Applied Mathematics 11 Physica A 11 Physica D 11 Differential Equations and Dynamical Systems 10 Discrete and Continuous Dynamical Systems. Series B 10 Journal of Theoretical Biology 9 Numerical Functional Analysis and Optimization 9 Journal of the Egyptian Mathematical Society 9 Fractional Calculus & Applied Analysis 9 Computational & Mathematical Methods in Medicine 9 International Journal of Differential Equations 9 Open Mathematics 8 Ricerche di Matematica 8 Neural Networks 8 International Journal of Computer Mathematics 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Mathematical Modelling of Natural Phenomena 8 Symmetry 8 Afrika Matematika 8 Mathematical Sciences 8 International Journal of Applied and Computational Mathematics 7 Journal of Mathematical Biology 7 Journal of Mathematical Physics 7 Rocky Mountain Journal of Mathematics 7 Turkish Journal of Mathematics 7 Journal of Biological Systems 7 Journal of Function Spaces and Applications 7 Journal of Industrial and Management Optimization 7 Advances in Mathematical Physics 6 Automatica 6 Acta Applicandae Mathematicae 6 Journal of Mathematical Sciences (New York) 6 Boletín de la Sociedad Matemática Mexicana. Third Series 6 Qualitative Theory of Dynamical Systems 6 Decisions in Economics and Finance 6 Journal of Control Science and Engineering 5 Mathematical Biosciences 5 Bulletin of Mathematical Biology 5 Demonstratio Mathematica 5 Quaestiones Mathematicae 5 Topology and its Applications 5 Circuits, Systems, and Signal Processing 5 Acta Mathematica Sinica. English Series 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Entropy 5 Journal of Fixed Point Theory and Applications 4 Lithuanian Mathematical Journal 4 Kybernetika 4 Stochastic Analysis and Applications 4 Applied Numerical Mathematics 4 Acta Mathematicae Applicatae Sinica. English Series 4 Computers & Operations Research 4 Annals of Operations Research 4 International Journal of Numerical Methods for Heat & Fluid Flow 4 Fractals 4 Soft Computing 4 The ANZIAM Journal ...and 288 more Journals
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#### Cited in 57 Fields

 888 Ordinary differential equations (34-XX) 828 Biology and other natural sciences (92-XX) 565 Difference and functional equations (39-XX) 467 Dynamical systems and ergodic theory (37-XX) 383 Systems theory; control (93-XX) 373 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 277 Partial differential equations (35-XX) 272 Numerical analysis (65-XX) 201 Operator theory (47-XX) 181 Probability theory and stochastic processes (60-XX) 172 Operations research, mathematical programming (90-XX) 147 Real functions (26-XX) 113 Computer science (68-XX) 111 Number theory (11-XX) 81 Combinatorics (05-XX) 74 General topology (54-XX) 57 Functional analysis (46-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 51 Integral equations (45-XX) 46 Statistics (62-XX) 42 Special functions (33-XX) 34 Functions of a complex variable (30-XX) 31 Information and communication theory, circuits (94-XX) 30 Mechanics of particles and systems (70-XX) 27 Fluid mechanics (76-XX) 18 Mathematical logic and foundations (03-XX) 18 Quantum theory (81-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 17 Several complex variables and analytic spaces (32-XX) 16 Measure and integration (28-XX) 13 Mechanics of deformable solids (74-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Group theory and generalizations (20-XX) 10 Approximations and expansions (41-XX) 9 Sequences, series, summability (40-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Abstract harmonic analysis (43-XX) 6 Integral transforms, operational calculus (44-XX) 6 Geophysics (86-XX) 5 Nonassociative rings and algebras (17-XX) 4 Algebraic geometry (14-XX) 4 Associative rings and algebras (16-XX) 4 Differential geometry (53-XX) 4 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 Convex and discrete geometry (52-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)