Edit Profile (opens in new tab) Sun, Taixiang Co-Author Distance Author ID: sun.taixiang Published as: Sun, Taixiang; Sun, Tai Xiang; Sun, TaiXiang more...less Documents Indexed: 137 Publications since 1996 Co-Authors: 40 Co-Authors with 121 Joint Publications 759 Co-Co-Authors all top 5 Co-Authors 14 single-authored 73 Xi, Hongjian 25 Su, Guangwang 22 Qin, Bin 19 He, Qiuli 16 Han, Caihong 8 Li, Lue 6 Liu, Xinhe 6 Wu, Xin 6 Yu, Weiyong 5 Mai, Jiehua 5 Peng, Xiaofeng 5 Tao, Chunyan 4 Gu, Rongbao 4 Liang, Hailan 4 Liu, Jing 4 Wu, Hui 4 Zhang, Yongping 3 Chen, Changhong 3 Chen, Zhanhe 3 Chen, Zhanhuo 3 Quan, Weizhen 3 Su, Dongwei 3 Xia, Guoen 3 Xu, Shengrong 3 Zeng, Fanping 2 Hong, Liang 2 Kong, Xin 2 Tang, Yalin 2 Xie, Mingde 2 Zhao, Jinfeng 2 Zheng, Tingting 1 An, Xia 1 Fan, Xiyu 1 Liu, Cuijun 1 Liu, Jianping 1 Wang, Jiaying 1 Zhang, Gengrong 1 Zhao, Bin 1 Zhou, Lei 1 Zhou, Yaru all top 5 Serials 14 Advances in Difference Equations 9 Abstract and Applied Analysis 7 Journal of Mathematical Analysis and Applications 7 Acta Mathematica Sinica. English Series 6 Journal of Computational Analysis and Applications 5 Chaos, Solitons and Fractals 5 Discrete Dynamics in Nature and Society 5 Qualitative Theory of Dynamical Systems 5 Journal of Applied Mathematics and Computing 4 Acta Mathematica Sinica 4 Applied Mathematics and Computation 4 Topology and its Applications 4 Journal of Difference Equations and Applications 4 Journal of Mathematical Study 3 Chinese Annals of Mathematics. Series A 3 Journal of Systems Science and Mathematical Sciences 3 Applied Mathematics. Series A (Chinese Edition) 3 Journal of Dynamical Systems and Geometric Theories 2 Bulletin of the Australian Mathematical Society 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Mathematics. Wuhan University 2 Journal of Mathematical Research & Exposition 2 Advances in Mathematics (Beijing) 2 Applied Mathematics. Series B (English Edition) 2 Pure and Applied Mathematics 2 Journal of Guangxi University. Natural Science Edition 2 Journal of Nonlinear Science and Applications 2 Applied General Topology 2 Scientia Sinica. Mathematica 1 Computers & Mathematics with Applications 1 Mathematical Methods in the Applied Sciences 1 Fasciculi Mathematici 1 Fuzzy Sets and Systems 1 Mathematica Slovaca 1 Annals of Differential Equations 1 Applied Mathematics Letters 1 Science in China. Series A 1 Advances in Engineering Software 1 Topological Methods in Nonlinear Analysis 1 Journal of Inequalities and Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Miskolc Mathematical Notes 1 International Journal of Numerical Analysis and Modeling 1 Journal of Concrete and Applicable Mathematics 1 International Journal of Mathematical Analysis (Ruse) 1 Science China. Mathematics 1 Journal of Applied Mathematics & Informatics 1 Analysis and Mathematical Physics 1 Open Mathematics all top 5 Fields 65 Dynamical systems and ergodic theory (37-XX) 55 Difference and functional equations (39-XX) 50 General topology (54-XX) 17 Ordinary differential equations (34-XX) 6 Real functions (26-XX) 2 Numerical analysis (65-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 420 times in 211 Documents Cited by ▼ Year ▼ Global behavior of the max-type difference equation \(x_{n+1}=\max\{1/x_{n},A_{n}/x_{n - 1}\}\). Zbl 1167.39303 Sun, Taixiang; Qin, Bin; Xi, Hongjian; Han, Caihong 20 2009 The \(\omega\)-limit set of a graph map. Zbl 1115.37044 Mai, Jiehua; Sun, Taixiang 14 2007 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 13 2006 Global behavior of a higher-order rational difference equation. Zbl 1140.39312 Xi, Hongjian; Sun, Taixiang 12 2006 Kamenev-type oscillation criteria for higher-order nonlinear dynamic equations on time scales. Zbl 1375.34129 Wu, Xin; Sun, Taixiang; Xi, Hongjian; Chen, Changhong 12 2013 Global asymptotic stability of a higher order rational difference equation. Zbl 1121.39008 Sun, Taixiang; Xi, Hongjian 11 2007 Dynamics of the max-type difference equation \(x_{n+1} =\max\left\{\frac{A}{x_n},x_{n-k}\right\}\). Zbl 1261.39015 Qin, Bin; Sun, Taixiang; Xi, Hongjian 11 2012 Oscillatory behavior and comparison for higher order nonlinear dynamic equations on time scales. Zbl 1241.34100 Sun, Taixiang; Yu, Weiyong; Xi, Hongjian 11 2012 On convergence of the solutions of the difference equation \(x_{n+1}= 1+ \frac {X_{n-1}}{x_n}\). Zbl 1108.39013 Sun, Taixiang; Xi, Hongjian 11 2007 Dynamics of the max-type difference equation \({x_n=\max\{\frac{1}{x_{n-m}},\frac{A_n}{x_{n-r}}\}}\). Zbl 1295.39008 Sun, Taixiang; Xi, Hongjian; Han, Caihong; Qin, Bin 11 2012 On boundedness of the difference equation \(x_{n+1}=p_n+\frac{x_{n-3s+1}}{x_{n-s+1}}\) with period-\(k\) coefficients. Zbl 1221.39014 Sun, Taixiang; Xi, Hongjian; He, Qiuli 10 2011 Intra-orbit separation of dense orbits of dendrite maps. Zbl 1355.37033 Sun, Taixiang; He, Qiuli; Xi, Hongjian 10 2013 Asymptotic behaviors of higher order nonlinear dynamic equations on time scales. Zbl 1368.34100 Sun, Taixiang; Xi, Hongjian; Yu, Weiyong 9 2011 Equicontinuity of maps on a dendrite with finite branch points. Zbl 1373.37029 Sun, Tai Xiang; Su, Guang Wang; Xi, Hong Jian; Kong, Xin 9 2017 Global behavior of the max-type difference equation \(x_n = \max \{\frac{1}{x_{n - m}}, \frac{A_n}{x_{n - r}}\}\). Zbl 1338.39027 Sun, Taixiang; He, Qiuli; Wu, Xin; Xi, Hongjian 9 2014 Global attractivity for a family of nonlinear difference equations. Zbl 1140.39005 Sun, Taixiang; Xi, Hongjian 8 2007 Special \(\alpha \)-limit points and unilateral \(\gamma \)-limit points for graph maps. Zbl 1234.37035 Sun, TaiXiang; Xi, HongJian; Liang, HaiLan 8 2011 Iterative roots of anti-\(N\)-type functions on the interval. Zbl 0986.39012 Sun, Taixiang 8 2000 Iterative solutions of N-type of functions on the interval. Zbl 0917.65109 Sun, Taixiang; Xi, Hongjian 8 1996 On non-oscillatory solutions of the recursive sequence \(x_{n+1}=p+\frac{x_{n-k}}{x_n}\). Zbl 1082.39009 Sun, Taixiang 8 2005 Equicontinuity of dendrite maps. Zbl 1351.37069 Sun, Taixiang; Chen, Zhanhe; Liu, Xinhe; Xi, Hongjian 8 2014 The centre and the depth of the centre for continuous maps on dendrites with finite branch points. Zbl 1390.37022 Sun, Taixiang; Xi, Hongjian 8 2017 Global asymptotic stability of a family of difference equations. Zbl 1080.39019 Sun, Taixiang; Xi, Hongjian 7 2005 Non-wandering points and the depth for graph maps. Zbl 1136.37007 Mai, Jiehua; Sun, Taixiang 6 2007 Recurrent points and non-wandering points of graph maps. Zbl 1226.37024 Mai, Jiehua; Zhang, Gengrong; Sun, Taixiang 6 2011 On the dynamics of the difference equation \(x_{n+1} = \frac{1}{B_nx_n+x_{n+1}}\). Zbl 1188.39017 Hong, Liang; Sun, Taixiang; Xi, Hongjian 6 2010 Global behavior of the nonlinear difference equation \(x_{n+1}=f(x_{n - s},x_{n - t})\). Zbl 1121.39007 Sun, Taixiang; Xi, Hongjian 6 2005 Existence of monotone solutions of a difference equation. Zbl 1160.39309 Sun, Taixiang; Xi, Hongjian; Quan, Weizhen 6 2008 Equicontinuity of a graph map. Zbl 1071.37029 Sun, Taixiang; Zhang, Yongping; Zhang, Xiaoyan 6 2005 Global asymptotic stability of a family of nonlinear recursive sequences. Zbl 1086.39013 Sun, Taixiang; Xi, Hongjian; Chen, Zhanhuo 6 2005 On the solutions of a system of difference equations with maximum. Zbl 1410.39007 Sun, Taixiang; Xi, Hongjian 6 2016 Stochastic Galerkin method for constrained optimal control problem governed by an elliptic integro-differential PDE with random coefficients. Zbl 1499.65256 Shen, W.; Sun, T.; Gong, B.; Liu, Wenbin 6 2015 On the solutions of a class of difference equations. Zbl 1081.39006 Sun, Taixiang; Xi, Hongjian 5 2005 Oscillation for higher order dynamic equations on time scales. Zbl 1298.34177 Sun, Taixiang; He, Qiuli; Xi, Hongjian; Yu, Weiyong 5 2013 Periodicity of the positive solutions of a fuzzy max-difference equation. Zbl 1474.39029 He, Qiuli; Tao, Chunyan; Sun, Taixiang; Liu, Xinhe; Su, Dongwei 5 2014 Dynamics of a family of nonlinear delay difference equations. Zbl 1272.39008 He, Qiuli; Sun, Taixiang; Xi, Hongjian 5 2013 The attracting centre and the topological entropy of a graph map. Zbl 1481.37018 Sun, Tai Xiang; Xi, Hong Jian; Chen, Zhan Huo; Zhang, Yong Ping 5 2004 On the system of rational difference equations \(x_{n+1}=f(y_{n - q},x_{n - s})\), \(y_{n+1}=g(x_{n - t},y_{n - p})\). Zbl 1139.39307 Sun, Taixiang; Xi, Hongjian 4 2006 Equivalent conditions of a tree map with zero topological entropy. Zbl 1095.37012 Sun, Taixiang; Xie, Mingde; Zhao, Jinfeng 4 2006 Eventually periodic solutions of a max-type system of difference equations of higher order. Zbl 1417.39046 Su, Guangwang; Sun, Taixiang; Qin, Bin 4 2018 Nonoscillatory solutions for higher-order neutral dynamic equations on time scales. Zbl 1205.34136 Sun, Taixiang; Xi, Hongjian; Peng, Xiaofeng; Yu, Weiyong 4 2010 The set of unilateral \( \gamma \)-limit points and the topological entropy of a tree map. Zbl 1481.37043 Sun, Tai Xiang 4 2004 Special \(\alpha \)-limit points and \(\gamma \)-limit points of a dendrite map. Zbl 1392.37013 Sun, Taixiang; Tang, Yalin; Su, Guangwang; Xi, Hongjian; Qin, Bin 4 2018 On the global behavior of the nonlinear difference equation \(x_{n+1}=f(p_{n},x_{n - m},x_{n - t(k+1)+1})\). Zbl 1118.39004 Sun, Taixiang; Xi, Hongjian 3 2006 Equicontinuity of tree maps. Zbl 1160.37360 Sun, Taixiang 3 2001 On the system of rational difference equations \(x_{n+1}=f(x_n,y_{n-k})\), \(y_{n+1}=f(y_n,x_{n-k})\). Zbl 1135.39007 Sun, Taixiang; Xi, Hongjian; Hong, Liang 3 2006 Dendrite maps whose every periodic point is a fixed point. Zbl 1348.37073 Sun, Taixiang; He, Qiuli; Su, Dongwei; Xi, Hongjian 3 2014 Non-wandering sets of the powers of dendrite maps. Zbl 1364.37022 Sun, Tai Xiang; Xi, Hong Jian; He, Qiu Li 3 2017 The periodic character of the difference equation \(x_{n+1}=f(x_{n - l+1},x_{n - 2k+1})\). Zbl 1146.39019 Sun, Taixiang; Xi, Hongjian 3 2008 Stability of solutions for a family of nonlinear difference equations. Zbl 1146.39020 Sun, Taixiang; Xi, Hongjian; Han, Caihong 3 2008 On the solutions of a max-type system of difference equations of higher order. Zbl 1482.39003 Su, Guangwang; Han, Caihong; Sun, Taixiang; Li, Lue 3 2020 The depths and the attracting centres for continuous maps on local dendrites with the number of branch points being finite. Zbl 1431.37009 Su, Guangwang; Sun, Taixiang; Zeng, Fanping; Qin, Bin 3 2020 New oscillation criteria for higher order delay dynamic equations on time scales. Zbl 1417.34159 Sun, Taixiang; Yu, Weiyong; He, Qiuli 3 2014 Lyapunov inequality for dynamic equation with order \(n +1\) on time scales. Zbl 1499.34461 Sun, Taixiang; Liu, Jing 3 2015 On the basin of attraction of the two cycle of the difference equation \(x_{n+1}=\frac{x_{n-1}}{p+qx_n+x_{n-1}}\). Zbl 1127.39024 Sun, Taixiang; Xi, Hongjian 2 2007 Equicontinuity of \(\sigma\)-maps. Zbl 0983.54042 Sun, Taixiang 2 2000 Iterative solutions of expanding Markov surjective self-maps on interval. Zbl 1007.37021 Sun, Taixiang 2 2001 Global stability for a delay difference equation. Zbl 1181.39016 Sun, Taixiang; Xi, Hongjian; Xie, Mingde 2 2009 Existence of the nonoscillatory solutions of higher order neutral dynamic equations on time scales. Zbl 1351.34109 Tao, Chunyan; Sun, Taixiang; Xi, Hongjian 2 2015 Topological entropy and special \(\alpha\)-limit points of graph maps. Zbl 1295.37007 Sun, Taixiang; Su, Guangwang; Liang, Hailan; He, Qiuli 2 2011 Lyapunov inequalities of linear Hamiltonian systems on time scales. Zbl 1335.34145 Liu, Jing; Sun, Taixiang; Kong, Xin; He, Qiuli 2 2016 Lyapunov inequalities for a class of nonlinear dynamic systems on time scales. Zbl 1345.34149 Sun, Taixiang; Xi, Hongjian; Liu, Jing; He, Qiuli 2 2016 The centre and the depth of the centre for continuous maps on dendrites with unique branch point. Zbl 1460.37008 Su, Guangwang; Sun, Taixiang; Li, Lue; Han, Caihong; Xia, Guoen 2 2020 On the fuzzy difference equation \(x_n = F(x_{n-1},x_{n-k})\). Zbl 1452.39005 Sun, Taixiang; Su, Guangwang; Qin, Bin 2 2020 Oscillation criteria for higher order nonlinear delay dynamic equations on time scales. Zbl 1389.34208 Wu, Xin; Sun, Taixiang 2 2016 The attracting centre and space of \(\omega\)-limit sets of a general tree map. Zbl 1499.37076 Sun, Taixiang; Zeng, Fanping; Qin, Bin; Su, Guangwang 2 2018 On the solutions of a max-type system of difference equations with period-two parameters. Zbl 1448.39009 Su, Guangwang; Sun, Taixiang; Qin, Bin 2 2018 Nonoscillation for higher-order nonlinear delay dynamic equations on time scales. Zbl 1419.34178 Tao, Chunyan; Sun, Taixiang; He, Qiuli 2 2016 Dynamics of the fuzzy difference equation \(z_n =\max\{\frac{1}{ z_{n-m}}, \frac{\alpha_n}{z_{n-r}}\}\). Zbl 1438.39018 Sun, Taixiang; Xi, Hongjian; Su, Guangwang; Qin, Bin 2 2018 The depths of the centres and the attracting centres of a class of dendrite maps. Zbl 1435.37040 Sun, Taixiang; Su, Guangwang; Qin, Bin 2 2019 On \(\omega \)-limit sets of non-autonomous discrete systems on trees. Zbl 1141.37004 Sun, Taixiang 1 2008 The periodic character of positive solutions of the difference equation \(x _{n+1} = f(x _{n},x_{n - k})\). Zbl 1134.39007 Sun, Taixiang; Xi, Hongjian 1 2006 Stability of solutions for a family of nonlinear delay difference equations. Zbl 1146.39021 Sun, Taixiang; Xi, Hongjian; Wu, Hui; Han, Caihong 1 2008 Global behavior of the max-type difference equation \(x_{n+1} = \max\left\{\frac{A}{x_{n-m}},\frac{1}{x^\alpha_{n-k}}\right\}\). Zbl 1261.39016 Sun, Taixiang; Xi, Hongjian; Qin, Bin 1 2012 Asymptotic behavior of solutions of higher-order dynamic equations on time scales. Zbl 1219.34120 Sun, Taixiang; Xi, Hongjian; Peng, Xiaofeng 1 2011 Topological entropy of a graph map. Zbl 1382.37013 Sun, Tai Xiang 1 2018 Iterative solutions of flat-top bimodal continuous self-maps of the interval. Zbl 1078.37507 Sun, Taixiang; Xi, Hongjian 1 2001 On boundedness of solutions of the difference equation \(x_{n+1}=(px_n+qx_{n - 1})/(1+x_n)\) for \(q>1+p>1\). Zbl 1175.39007 Xi, Hongjian; Sun, Taixiang; Yu, Weiyong; Zhao, Jinfeng 1 2009 Non-wandering set of a continuous graph map. Zbl 1048.37042 Gu, Rongbao; Sun, Taixiang; Zheng, Tingting 1 2003 Several equivalent conditions of a tree map with positive topological entropy. Zbl 1040.37503 Sun, Taixiang; Liu, Xinhe 1 2003 Shape optimization with computational fluid dynamics. Zbl 1329.76106 El-Sayed, M.; Sun, T.; Berry, J. 1 2005 On solutions of the nonlinear difference equation \(x_{n+1}=f(p_n,x_{n-2s},x_{n-2t-1})\). Zbl 1092.39012 Sun, Taixiang; Xi, Hongjian 1 2005 Global behavior of the max-type difference equation \(x_{n}=\max \{\frac{A_1}{x^{\alpha_1}_{n-m\_1}}, \frac{a_2}{x^{\alpha_2}\_{n-m_2}},\dots,\frac{A_k}{x^{\alpha_k}\_{n-m_k}} \}\). Zbl 1250.39009 Qin, Bin; Sun, Taixiang; Xi, Hongjian 1 2011 On boundedness of solutions of the difference equation \(x_{n+1}=p+\frac{x_{n-1}}{x_{n}}\) for \(p<1\). Zbl 1347.39015 Sun, Taixiang; Wu, Xin; He, Qiuli; Xi, Hongjian 1 2014 Dynamics of a max-type system of difference equations. Zbl 1366.39006 Sun, Taixiang; Xi, Hongjian 1 2016 Non-wandering sets for dendrite maps. Zbl 1376.37087 Sun, Taixiang; He, Qiuli; Liu, Jing; Tao, Chunyan; Xi, Hongjian 1 2015 Periodic orbits for multivalued maps with continuous margins of intervals. Zbl 1373.54027 Mai, Jiehua; Sun, Taixiang 1 2016 Chain recurrent points and topological entropy of a tree map. Zbl 1015.37014 Sun, Taixiang 1 2002 Sharkovskii’s theorem of continuous multi-valued maps on the compact intervals. Zbl 1342.37043 Sun, Taixiang; Chen, Changhong; Xi, Hongjian; He, Qiuli 1 2014 Eventual periodicity of the fuzzy max-difference equation \(x_n = \max \{C, \frac{x_{n-m-k}}{x_{n-m}}\}\). Zbl 1487.39020 Han, Caihong; Su, Guangwang; Li, Lue; Xia, Guoen; Sun, Taixiang 1 2020 Characteristic of pointwise-recurrent maps on a dendrite. Zbl 1499.37027 Su, Guangwang; Sun, Taixiang; Han, Caihong; Qin, Bin 1 2020 Pointwise equicontinuity of Zadeh’s extension of an interval map. Zbl 1483.26025 Sun, Taixiang; Su, Guangwang; Qin, Bin 1 2019 Oscillation criteria for fourth-order nonlinear dynamic equations on time scales. Zbl 1470.34244 Wu, Xin; Sun, Taixiang; Xi, Hongjian; Chen, Changhong 1 2013 On the solutions of a max-type system of difference equations of higher order. Zbl 1482.39003 Su, Guangwang; Han, Caihong; Sun, Taixiang; Li, Lue 3 2020 The depths and the attracting centres for continuous maps on local dendrites with the number of branch points being finite. Zbl 1431.37009 Su, Guangwang; Sun, Taixiang; Zeng, Fanping; Qin, Bin 3 2020 The centre and the depth of the centre for continuous maps on dendrites with unique branch point. Zbl 1460.37008 Su, Guangwang; Sun, Taixiang; Li, Lue; Han, Caihong; Xia, Guoen 2 2020 On the fuzzy difference equation \(x_n = F(x_{n-1},x_{n-k})\). Zbl 1452.39005 Sun, Taixiang; Su, Guangwang; Qin, Bin 2 2020 Eventual periodicity of the fuzzy max-difference equation \(x_n = \max \{C, \frac{x_{n-m-k}}{x_{n-m}}\}\). Zbl 1487.39020 Han, Caihong; Su, Guangwang; Li, Lue; Xia, Guoen; Sun, Taixiang 1 2020 Characteristic of pointwise-recurrent maps on a dendrite. Zbl 1499.37027 Su, Guangwang; Sun, Taixiang; Han, Caihong; Qin, Bin 1 2020 The depths of the centres and the attracting centres of a class of dendrite maps. Zbl 1435.37040 Sun, Taixiang; Su, Guangwang; Qin, Bin 2 2019 Pointwise equicontinuity of Zadeh’s extension of an interval map. Zbl 1483.26025 Sun, Taixiang; Su, Guangwang; Qin, Bin 1 2019 Eventually periodic solutions of a max-type system of difference equations of higher order. Zbl 1417.39046 Su, Guangwang; Sun, Taixiang; Qin, Bin 4 2018 Special \(\alpha \)-limit points and \(\gamma \)-limit points of a dendrite map. Zbl 1392.37013 Sun, Taixiang; Tang, Yalin; Su, Guangwang; Xi, Hongjian; Qin, Bin 4 2018 The attracting centre and space of \(\omega\)-limit sets of a general tree map. Zbl 1499.37076 Sun, Taixiang; Zeng, Fanping; Qin, Bin; Su, Guangwang 2 2018 On the solutions of a max-type system of difference equations with period-two parameters. Zbl 1448.39009 Su, Guangwang; Sun, Taixiang; Qin, Bin 2 2018 Dynamics of the fuzzy difference equation \(z_n =\max\{\frac{1}{ z_{n-m}}, \frac{\alpha_n}{z_{n-r}}\}\). Zbl 1438.39018 Sun, Taixiang; Xi, Hongjian; Su, Guangwang; Qin, Bin 2 2018 Topological entropy of a graph map. Zbl 1382.37013 Sun, Tai Xiang 1 2018 Equicontinuity of maps on a dendrite with finite branch points. Zbl 1373.37029 Sun, Tai Xiang; Su, Guang Wang; Xi, Hong Jian; Kong, Xin 9 2017 The centre and the depth of the centre for continuous maps on dendrites with finite branch points. Zbl 1390.37022 Sun, Taixiang; Xi, Hongjian 8 2017 Non-wandering sets of the powers of dendrite maps. Zbl 1364.37022 Sun, Tai Xiang; Xi, Hong Jian; He, Qiu Li 3 2017 On the solutions of a system of difference equations with maximum. Zbl 1410.39007 Sun, Taixiang; Xi, Hongjian 6 2016 Lyapunov inequalities of linear Hamiltonian systems on time scales. Zbl 1335.34145 Liu, Jing; Sun, Taixiang; Kong, Xin; He, Qiuli 2 2016 Lyapunov inequalities for a class of nonlinear dynamic systems on time scales. Zbl 1345.34149 Sun, Taixiang; Xi, Hongjian; Liu, Jing; He, Qiuli 2 2016 Oscillation criteria for higher order nonlinear delay dynamic equations on time scales. Zbl 1389.34208 Wu, Xin; Sun, Taixiang 2 2016 Nonoscillation for higher-order nonlinear delay dynamic equations on time scales. Zbl 1419.34178 Tao, Chunyan; Sun, Taixiang; He, Qiuli 2 2016 Dynamics of a max-type system of difference equations. Zbl 1366.39006 Sun, Taixiang; Xi, Hongjian 1 2016 Periodic orbits for multivalued maps with continuous margins of intervals. Zbl 1373.54027 Mai, Jiehua; Sun, Taixiang 1 2016 Stochastic Galerkin method for constrained optimal control problem governed by an elliptic integro-differential PDE with random coefficients. Zbl 1499.65256 Shen, W.; Sun, T.; Gong, B.; Liu, Wenbin 6 2015 Lyapunov inequality for dynamic equation with order \(n +1\) on time scales. Zbl 1499.34461 Sun, Taixiang; Liu, Jing 3 2015 Existence of the nonoscillatory solutions of higher order neutral dynamic equations on time scales. Zbl 1351.34109 Tao, Chunyan; Sun, Taixiang; Xi, Hongjian 2 2015 Non-wandering sets for dendrite maps. Zbl 1376.37087 Sun, Taixiang; He, Qiuli; Liu, Jing; Tao, Chunyan; Xi, Hongjian 1 2015 Global behavior of the max-type difference equation \(x_n = \max \{\frac{1}{x_{n - m}}, \frac{A_n}{x_{n - r}}\}\). Zbl 1338.39027 Sun, Taixiang; He, Qiuli; Wu, Xin; Xi, Hongjian 9 2014 Equicontinuity of dendrite maps. Zbl 1351.37069 Sun, Taixiang; Chen, Zhanhe; Liu, Xinhe; Xi, Hongjian 8 2014 Periodicity of the positive solutions of a fuzzy max-difference equation. Zbl 1474.39029 He, Qiuli; Tao, Chunyan; Sun, Taixiang; Liu, Xinhe; Su, Dongwei 5 2014 Dendrite maps whose every periodic point is a fixed point. Zbl 1348.37073 Sun, Taixiang; He, Qiuli; Su, Dongwei; Xi, Hongjian 3 2014 New oscillation criteria for higher order delay dynamic equations on time scales. Zbl 1417.34159 Sun, Taixiang; Yu, Weiyong; He, Qiuli 3 2014 On boundedness of solutions of the difference equation \(x_{n+1}=p+\frac{x_{n-1}}{x_{n}}\) for \(p<1\). Zbl 1347.39015 Sun, Taixiang; Wu, Xin; He, Qiuli; Xi, Hongjian 1 2014 Sharkovskii’s theorem of continuous multi-valued maps on the compact intervals. Zbl 1342.37043 Sun, Taixiang; Chen, Changhong; Xi, Hongjian; He, Qiuli 1 2014 Kamenev-type oscillation criteria for higher-order nonlinear dynamic equations on time scales. Zbl 1375.34129 Wu, Xin; Sun, Taixiang; Xi, Hongjian; Chen, Changhong 12 2013 Intra-orbit separation of dense orbits of dendrite maps. Zbl 1355.37033 Sun, Taixiang; He, Qiuli; Xi, Hongjian 10 2013 Oscillation for higher order dynamic equations on time scales. Zbl 1298.34177 Sun, Taixiang; He, Qiuli; Xi, Hongjian; Yu, Weiyong 5 2013 Dynamics of a family of nonlinear delay difference equations. Zbl 1272.39008 He, Qiuli; Sun, Taixiang; Xi, Hongjian 5 2013 Oscillation criteria for fourth-order nonlinear dynamic equations on time scales. Zbl 1470.34244 Wu, Xin; Sun, Taixiang; Xi, Hongjian; Chen, Changhong 1 2013 Dynamics of the max-type difference equation \(x_{n+1} =\max\left\{\frac{A}{x_n},x_{n-k}\right\}\). Zbl 1261.39015 Qin, Bin; Sun, Taixiang; Xi, Hongjian 11 2012 Oscillatory behavior and comparison for higher order nonlinear dynamic equations on time scales. Zbl 1241.34100 Sun, Taixiang; Yu, Weiyong; Xi, Hongjian 11 2012 Dynamics of the max-type difference equation \({x_n=\max\{\frac{1}{x_{n-m}},\frac{A_n}{x_{n-r}}\}}\). Zbl 1295.39008 Sun, Taixiang; Xi, Hongjian; Han, Caihong; Qin, Bin 11 2012 Global behavior of the max-type difference equation \(x_{n+1} = \max\left\{\frac{A}{x_{n-m}},\frac{1}{x^\alpha_{n-k}}\right\}\). Zbl 1261.39016 Sun, Taixiang; Xi, Hongjian; Qin, Bin 1 2012 On boundedness of the difference equation \(x_{n+1}=p_n+\frac{x_{n-3s+1}}{x_{n-s+1}}\) with period-\(k\) coefficients. Zbl 1221.39014 Sun, Taixiang; Xi, Hongjian; He, Qiuli 10 2011 Asymptotic behaviors of higher order nonlinear dynamic equations on time scales. Zbl 1368.34100 Sun, Taixiang; Xi, Hongjian; Yu, Weiyong 9 2011 Special \(\alpha \)-limit points and unilateral \(\gamma \)-limit points for graph maps. Zbl 1234.37035 Sun, TaiXiang; Xi, HongJian; Liang, HaiLan 8 2011 Recurrent points and non-wandering points of graph maps. Zbl 1226.37024 Mai, Jiehua; Zhang, Gengrong; Sun, Taixiang 6 2011 Topological entropy and special \(\alpha\)-limit points of graph maps. Zbl 1295.37007 Sun, Taixiang; Su, Guangwang; Liang, Hailan; He, Qiuli 2 2011 Asymptotic behavior of solutions of higher-order dynamic equations on time scales. Zbl 1219.34120 Sun, Taixiang; Xi, Hongjian; Peng, Xiaofeng 1 2011 Global behavior of the max-type difference equation \(x_{n}=\max \{\frac{A_1}{x^{\alpha_1}_{n-m\_1}}, \frac{a_2}{x^{\alpha_2}\_{n-m_2}},\dots,\frac{A_k}{x^{\alpha_k}\_{n-m_k}} \}\). Zbl 1250.39009 Qin, Bin; Sun, Taixiang; Xi, Hongjian 1 2011 On the dynamics of the difference equation \(x_{n+1} = \frac{1}{B_nx_n+x_{n+1}}\). Zbl 1188.39017 Hong, Liang; Sun, Taixiang; Xi, Hongjian 6 2010 Nonoscillatory solutions for higher-order neutral dynamic equations on time scales. Zbl 1205.34136 Sun, Taixiang; Xi, Hongjian; Peng, Xiaofeng; Yu, Weiyong 4 2010 Global behavior of the max-type difference equation \(x_{n+1}=\max\{1/x_{n},A_{n}/x_{n - 1}\}\). Zbl 1167.39303 Sun, Taixiang; Qin, Bin; Xi, Hongjian; Han, Caihong 20 2009 Global stability for a delay difference equation. Zbl 1181.39016 Sun, Taixiang; Xi, Hongjian; Xie, Mingde 2 2009 On boundedness of solutions of the difference equation \(x_{n+1}=(px_n+qx_{n - 1})/(1+x_n)\) for \(q>1+p>1\). Zbl 1175.39007 Xi, Hongjian; Sun, Taixiang; Yu, Weiyong; Zhao, Jinfeng 1 2009 Existence of monotone solutions of a difference equation. Zbl 1160.39309 Sun, Taixiang; Xi, Hongjian; Quan, Weizhen 6 2008 The periodic character of the difference equation \(x_{n+1}=f(x_{n - l+1},x_{n - 2k+1})\). Zbl 1146.39019 Sun, Taixiang; Xi, Hongjian 3 2008 Stability of solutions for a family of nonlinear difference equations. Zbl 1146.39020 Sun, Taixiang; Xi, Hongjian; Han, Caihong 3 2008 On \(\omega \)-limit sets of non-autonomous discrete systems on trees. Zbl 1141.37004 Sun, Taixiang 1 2008 Stability of solutions for a family of nonlinear delay difference equations. Zbl 1146.39021 Sun, Taixiang; Xi, Hongjian; Wu, Hui; Han, Caihong 1 2008 The \(\omega\)-limit set of a graph map. Zbl 1115.37044 Mai, Jiehua; Sun, Taixiang 14 2007 Global asymptotic stability of a higher order rational difference equation. Zbl 1121.39008 Sun, Taixiang; Xi, Hongjian 11 2007 On convergence of the solutions of the difference equation \(x_{n+1}= 1+ \frac {X_{n-1}}{x_n}\). Zbl 1108.39013 Sun, Taixiang; Xi, Hongjian 11 2007 Global attractivity for a family of nonlinear difference equations. Zbl 1140.39005 Sun, Taixiang; Xi, Hongjian 8 2007 Non-wandering points and the depth for graph maps. Zbl 1136.37007 Mai, Jiehua; Sun, Taixiang 6 2007 On the basin of attraction of the two cycle of the difference equation \(x_{n+1}=\frac{x_{n-1}}{p+qx_n+x_{n-1}}\). Zbl 1127.39024 Sun, Taixiang; Xi, Hongjian 2 2007 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 13 2006 Global behavior of a higher-order rational difference equation. Zbl 1140.39312 Xi, Hongjian; Sun, Taixiang 12 2006 On the system of rational difference equations \(x_{n+1}=f(y_{n - q},x_{n - s})\), \(y_{n+1}=g(x_{n - t},y_{n - p})\). Zbl 1139.39307 Sun, Taixiang; Xi, Hongjian 4 2006 Equivalent conditions of a tree map with zero topological entropy. Zbl 1095.37012 Sun, Taixiang; Xie, Mingde; Zhao, Jinfeng 4 2006 On the global behavior of the nonlinear difference equation \(x_{n+1}=f(p_{n},x_{n - m},x_{n - t(k+1)+1})\). Zbl 1118.39004 Sun, Taixiang; Xi, Hongjian 3 2006 On the system of rational difference equations \(x_{n+1}=f(x_n,y_{n-k})\), \(y_{n+1}=f(y_n,x_{n-k})\). Zbl 1135.39007 Sun, Taixiang; Xi, Hongjian; Hong, Liang 3 2006 The periodic character of positive solutions of the difference equation \(x _{n+1} = f(x _{n},x_{n - k})\). Zbl 1134.39007 Sun, Taixiang; Xi, Hongjian 1 2006 On non-oscillatory solutions of the recursive sequence \(x_{n+1}=p+\frac{x_{n-k}}{x_n}\). Zbl 1082.39009 Sun, Taixiang 8 2005 Global asymptotic stability of a family of difference equations. Zbl 1080.39019 Sun, Taixiang; Xi, Hongjian 7 2005 Global behavior of the nonlinear difference equation \(x_{n+1}=f(x_{n - s},x_{n - t})\). Zbl 1121.39007 Sun, Taixiang; Xi, Hongjian 6 2005 Equicontinuity of a graph map. Zbl 1071.37029 Sun, Taixiang; Zhang, Yongping; Zhang, Xiaoyan 6 2005 Global asymptotic stability of a family of nonlinear recursive sequences. Zbl 1086.39013 Sun, Taixiang; Xi, Hongjian; Chen, Zhanhuo 6 2005 On the solutions of a class of difference equations. Zbl 1081.39006 Sun, Taixiang; Xi, Hongjian 5 2005 Shape optimization with computational fluid dynamics. Zbl 1329.76106 El-Sayed, M.; Sun, T.; Berry, J. 1 2005 On solutions of the nonlinear difference equation \(x_{n+1}=f(p_n,x_{n-2s},x_{n-2t-1})\). Zbl 1092.39012 Sun, Taixiang; Xi, Hongjian 1 2005 The attracting centre and the topological entropy of a graph map. Zbl 1481.37018 Sun, Tai Xiang; Xi, Hong Jian; Chen, Zhan Huo; Zhang, Yong Ping 5 2004 The set of unilateral \( \gamma \)-limit points and the topological entropy of a tree map. Zbl 1481.37043 Sun, Tai Xiang 4 2004 Non-wandering set of a continuous graph map. Zbl 1048.37042 Gu, Rongbao; Sun, Taixiang; Zheng, Tingting 1 2003 Several equivalent conditions of a tree map with positive topological entropy. Zbl 1040.37503 Sun, Taixiang; Liu, Xinhe 1 2003 Chain recurrent points and topological entropy of a tree map. Zbl 1015.37014 Sun, Taixiang 1 2002 Equicontinuity of tree maps. Zbl 1160.37360 Sun, Taixiang 3 2001 Iterative solutions of expanding Markov surjective self-maps on interval. Zbl 1007.37021 Sun, Taixiang 2 2001 Iterative solutions of flat-top bimodal continuous self-maps of the interval. Zbl 1078.37507 Sun, Taixiang; Xi, Hongjian 1 2001 Iterative roots of anti-\(N\)-type functions on the interval. Zbl 0986.39012 Sun, Taixiang 8 2000 Equicontinuity of \(\sigma\)-maps. Zbl 0983.54042 Sun, Taixiang 2 2000 Iterative solutions of N-type of functions on the interval. Zbl 0917.65109 Sun, Taixiang; Xi, Hongjian 8 1996 all cited Publications top 5 cited Publications all top 5 Cited by 240 Authors 55 Sun, Taixiang 31 Xi, Hongjian 30 Stević, Stevo 19 Su, Guangwang 14 Qin, Bin 13 He, Qiuli 10 Han, Caihong 10 Yang, Xiaofan 7 Mai, Jiehua 6 Li, Lue 6 Wu, Xin 5 Grace, Said Rezk 5 Liu, Wanping 5 Tao, Chunyan 5 Zhang, Weinian 4 Abdelli, Hafedh 4 Alotaibi, Abdullah M. 4 Elsayed, Elsayed Mohammed 4 Hassan, Taher S. 4 Li, Lin 4 Liao, Maoxin 4 Liu, Liu 4 Moaaz, Osama 3 Alghamdi, Mohammed Ali 3 Camouzis, Elias 3 Cao, Jianqiu 3 Iričanin, Bratislav D. 3 Khaliq, Abdul Q. M. 3 Ladas, Gerasimos E. 3 Lin, Fubiao 3 Liu, Xinhe 3 Marzougui, Habib 3 Quan, Weizhen 3 Shahzad, Naseer 3 Tang, Xianhua 3 Tang, Yuanyan 3 Wang, Changyou 3 Wang, Wusheng 3 Xu, Changjin 3 Yu, Weiyong 3 Zhang, Qianhong 2 Amleh, A. M. 2 Askri, Ghassen 2 Berenhaut, Kenneth S. 2 Camargo, Javier 2 Chen, Changhong 2 Chen, Zhanhe 2 Chhatria, Gokula Nanda 2 El-Dessoky, Mohamed M. 2 Elabbasy, Elmetwally M. 2 Hassan, Sk. Sarif 2 Jarczyk, Witold 2 Kirane, Mokhtar 2 Li, Xianyi 2 Liang, Hailan 2 Liu, Jing 2 Mahjoub, Hamida 2 Mitchell, Joel 2 Oprocha, Piotr 2 Shi, YongGuo 2 Su, Dongwei 2 Sun, Fangkuan 2 Torebek, Berikbol Tillabayuly 2 Wu, Hui 2 Wu, Shanhe 2 Xia, Guoen 2 Yalcinkaya, Ibrahim 2 Zeng, Fanping 2 Zhang, Gengrong 1 Abbas, Syed 1 Abdelrahman, Mahmoud Abdelaziz Elbiomy 1 Abodayeh, Kamaleldin 1 Abouda, Haithem 1 Abu-Saris, Raghib M. 1 Acosta, Gerardo G. 1 Agarwal, Ravi P. 1 Akrour, Youssouf 1 Almaslokh, Abdulaziz 1 Alzabut, Jehad O. 1 Atawna, S. 1 Awrejcewicz, Jan 1 Berg, Lothar 1 Cabada, Alberto 1 Cancino, Johan 1 Cánovas, Jose S. 1 Chatzarakis, George E. 1 Chen, Li 1 Chen, Yongzhuo 1 Chen, Zhanhuo 1 Cheung, Wingsum 1 Chidouh, Amar 1 Çinar, Cengiz 1 Cranston, Daniel W. 1 Cui, Limin 1 Daghar, Aymen 1 de la Sen, Manuel 1 Diblík, Josef 1 Dongsheng, Li 1 El-Morshedy, Hassan A. 1 Fernández Bretón, David José ...and 140 more Authors all top 5 Cited in 59 Serials 25 Discrete Dynamics in Nature and Society 23 Applied Mathematics and Computation 23 Advances in Difference Equations 16 Journal of Difference Equations and Applications 13 Abstract and Applied Analysis 10 Journal of Mathematical Analysis and Applications 9 Topology and its Applications 6 Chaos, Solitons and Fractals 6 Qualitative Theory of Dynamical Systems 6 Journal of Applied Mathematics and Computing 5 Acta Mathematica Sinica. English Series 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Computers & Mathematics with Applications 3 Journal of Inequalities and Applications 3 Journal of Nonlinear Science and Applications 2 Mathematical Methods in the Applied Sciences 2 Rocky Mountain Journal of Mathematics 2 Fuzzy Sets and Systems 2 Transactions of the American Mathematical Society 2 Applied Mathematics Letters 2 Discrete and Continuous Dynamical Systems 2 Journal of Dynamical Systems and Geometric Theories 2 Applied General Topology 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Mathematics 2 Advanced Studies: Euro-Tbilisi Mathematical Journal 1 Lithuanian Mathematical Journal 1 Nonlinearity 1 Annales Polonici Mathematici 1 Fundamenta Mathematicae 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Science in China. Series A 1 Aequationes Mathematicae 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Tatra Mountains Mathematical Publications 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 Opuscula Mathematica 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 Lobachevskii Journal of Mathematics 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Complex Variables and Elliptic Equations 1 Journal of Mathematical Inequalities 1 Applicable Analysis and Discrete Mathematics 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Journal of Applied Nonlinear Dynamics 1 Journal of Function Spaces 1 Open Mathematics 1 AIMS Mathematics all top 5 Cited in 16 Fields 131 Difference and functional equations (39-XX) 60 Dynamical systems and ergodic theory (37-XX) 34 Ordinary differential equations (34-XX) 33 General topology (54-XX) 15 Real functions (26-XX) 5 Operator theory (47-XX) 4 Biology and other natural sciences (92-XX) 3 Numerical analysis (65-XX) 2 Number theory (11-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Partial differential equations (35-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year