CHENG-HSIUNG HSU / ³\¥¿¶¯

Personal Information

 

    Birth:

August, 1967 at Taipei, Taiwan

  Address:

Department of Mathematics, National Central University Jungli 32001, Taiwan

Office:

Room 309, Hong-Jing Building

Phone:

886-3-4227151 ext. 65123

FAX:

Email:

Homepage:

886-3-4257379

chhsu@math.ncu.edu.tw

http://www.math.ncu.edu.tw/~chhsu/

        

 Education

 Occupation

 Research Interest

Professor Cheng-Hsiung Hsu studies ordinary differential equations, partial differential equations and functional differential

equations, specifically the lattice dynamical systems, conservation laws, reaction-diffusion equations, mathematical biology

as well as the singular perturbation theory. Major research achievements, see chhsu_mra.pdf.

 International Visiting and Visitors

 Research Honors

 Academic Services

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 Invited Talks

 Publications

  1. Shi-Liang Wu and Cheng-Hsiung Hsu
    Periodic Traveling Fronts for Partially Degenerate Reaction-Diffusion Systems with Bistable and Time-Periodic Nonlinearity 
    Advances in Nonlinear  Analysis, 9 (2020), 923-957.

  2. Yu Yang, Lan Zou, Jinling Zhou and Cheng-Hsiung Hsu
    Dynamics of A Waterborne Pathogen Model with Spatial Heterogeneity and General Incidence Rate
    Nonlinear Analysis-Real World Applications, 53 (2020), 103065.

  3. Cheng-Hsiung Hsu and Jian-Jhong Lin
    Stability Analysis of Traveling Wave Solutions for Lattice Reaction-Diffusion Equations
    Discrete and Continuous Dynamical Systems-B (2019), accepted.

  4. Jinling Zhou, Yu Yang  and Cheng-Hsiung Hsu
    Traveling Waves for A Nonlocal Dispersal Vaccination Model with General Incidence
    Discrete and Continuous Dynamical Systems-B (2019), accepted.

  5. Jianhe Shen, Cheng-Hsiung Hsu and Ting-Hui Yang
    Fast-Slow Dynamics for Intraguild Predation Models with Evolutionary Effects
    Journal of Dynamics and Differential Eqautions, (2019). https://doi.org/10.1007/s10884-019-09744-3

  6. Yu Yang, Jinling Zhou and Cheng-Hsiung Hsu
    Threshold Dynamics of A Diffusive SIRI Model with Nonlinear Incidence Rate
    Journal of Mathematical Analysis and Applications, 478 (2019), 874-896.

  7. Cheng-Hsiung Hsu, Jian-Jhong Lin and Shi-Liang Wu
    Existence and Stability of Traveling Wavefronts for Discrete Three Species Competitive-Cooperative Systems
    Mathematical Bioscience and Engineering
    , 16(5) (2019), 4151-4181.

  8. Cheng-Hsiung Hsu and Jian-Jhong Lin
    Stability of Traveling Wave Solutions for A Spatially Discrete SIS  Epidemic Model 
    Zeitschrift fur angewandte Mathematik und Physik, 70:62 (2019), 19 pages.

  9. Guang-Sheng Chen, Shi-Liang Wu and Cheng-Hsiung Hsu
    Stability of Traveling Wavefronts for A Discrete Diffusive Competition System with Three Species 
    Journal of Mathematical Analysis and Applications, 474 (2019), 909-230.

  10. Yanling Meng, Zhixian Yu and Cheng-Hsiung Hsu
    Entire Solutions for A Delayed Nonlocal Dispersal System with Monostable Nonlinearities  
    Nonlinearity
    , 32 (2019), 1206-1236.

  11. Cheng-Hsiung Hsu and Jian-Jhong Lin
    Stability of Traveling Wave Solutions for Nonlinear Cellular Neural Networks with Distributed Delays  
    Journal of Mathematical Analysis and Applications, 470 (2019), 388-400.

  12. Cheng-Hsiung Hsu and Jian-Jhong Lin
    Existence and Non-Monotonicity of Traveling Wave Solutions for General Diffusive Predator-Prey Models
    Communications on Pure and Applied Analysis, 18 (2019), 1483-1508.

  13. Shi-Liang Wu, Guang-Sheng Chen and Cheng-Hsiung Hsu
    Entire Solutions Originating From Multiple Fronts of An Epidemic Model with Nonlocal Dispersal and Bistable Nonlinearity
    Journal of Differential Equations, 265 (2018), 5520-5574.

  14. Shi-Liang Wu and Cheng-Hsiung Hsu
    Propagation of Monostable Traveling Fronts in Discrete Periodic Media with Delay
    Discrete and Continuous Dynamical Systems-A 38, (2018), 2987-3022.

  15. Cheng-Hsiung Hsu, Tzi-Sheng Yang and Zhixian Yu
    Existence and Exponential Stability of Traveling Waves for Delayed Reaction-Diffusion Systems
    Nonlinearity 31, (2018), 838-863.

  16. Shi-Liang Wu and Cheng-Hsiung Hsu
    Spatial Dynamics of Multilayer Cellular Neural Networks
    Journal of Nonlinear Science 28, (2018), 3-41.

  17. Cai-Di Zhao, Ling Yang, Guo-Wei Liu and and Cheng-Hsiung Hsu
    Global Well-Posedness and Pullback Attractor of A Delayed Non-Newtonian Fluid on Two-Dimensional Unbouned Domains
     Acta Mathematicae Applicaetae Sinica 40, (2017), 287-311.

  18. Shi-Liang Wu and Cheng-Hsiung Hsu
    Entire Solutions with Annihilating Fronts to A Nonlocal Dispersal Equation with Bistable Nonlinearity and Spatio-Temporal Delay
    Journal of Dynamics and Differential Equations 29, (2017), 409-430.

  19. Shi-Liang Wu, Tong-Chang Niu and Cheng-Hsiung Hsu
    Global Asymptotic Stability of Pushed Traveling Fronts for Monostable Delayed Reaction-Diffusion Equation
    Discrete and Continuous Dynamical Systems-A 37, (2017), 3467-3486.

  20. Cheng-Hsiung Hsu, Jian-Jhong Lin and Tzi-Sheng Yang
    Stability for Monostable Wave Fronts of Delayed Lattice Differential Equations
    Journal of Dynamics and Differential Equations 29, (2017), 323-342.

  21. Cheng-Hsiung Hsu and Tetu Makino
    Monotone-Short Solutions of the
    Tolman-Oppenheimer-Volkoff-de Sitter Equation
    Journal of Mathematical Physics 57, (2016), 092502.

  22. Cheng-Hsiung Hsu and Chi-Ru Yang
    Zeros' Distribution
    of the First Kind of Bessel Functions
    Differential Equations and Applications 8, (2016), 377-384.

  23. Cheng-Hsiung Hsu, Song-Sun Lin and Chi-Ru Yang
    Smooth Solutions of the One-Dimensional Compressible Euler Equation with Gravity
    Journal of Differential Equations 260, (2016), 708-732.

  24. Shi-Liang Wu and Cheng-Hsiung Hsu
    Entire Solutions with Merge Fronts to A Bistable Periodic Lattice Dynamical System
    Discrete and Continuous Dynamical Systems-A 36, (2016), 2329-2346.

  25. Shi-Liang Wu and Cheng-Hsiung Hsu
    Existence of Entire Solutions for Delayed Monostable Epidemic Models
    Transactions of the American Mathematical Society 368, (2016), 6033-6062.

  26. Caidi Zhao, Wenlong Sun and Cheng-Hsiung Hsu
    Pullback Dynamical Behaviors of the Non-Automous Micropolar Fluid Flows

    Dynamics of Partial Differential Equations 12, (2015), 265-288.

  27. Cheng-Hsiung Hsu, Jian-Jhong Lin and Tzi-Sheng Yang
    Existence and Stability of Traveling Wave Solutions for Multilayer Cellular Neural Networks
    Zeitschrift fur angewandte Mathematik und Physik 66, (2015), 1355-1373.

  28. Shi-Liang Wu, Cheng-Hsiung Hsu and Yanyu Xiao
    Global Attractivity, Spreading Speeds and Traveling Waves of Delayed Nonlocal Reaction-Diffusion Systems
    Journal of Differential Equations 258, (2015), 1058-1105.

  29. Cheng-Hsiung Hsu, Jian-Jhong Lin and Tzi-Sheng Yang
    Traveling Wave Solutions for Delayed Lattice Reaction-Diffusion Systems
    IMA Journal of Applied Mathematics 80, (2015), 302-323.

  30. Cheng-Hsiung Hsu, Jian-Jhong Lin and Ting-Hui Yang
    Traveling Wave Solutions for Kolmogorov-Type Delayed Lattice Reaction-Diffusion Systems
    IMA Journal of Applied Mathematics 80, (2015),1336-1367.

  31. Zhixian Yu, Rong Yuan, Cheng-Hsiung Hsu and Mingshu Peng
    Traveling Waves for Delayed Cellular Neural Networks wth Non-Monotonic Output Functions
    Abstract and Applied Analysis, (2014), Article ID 490161, 11 pages.

  32. Chunqiu Li, Cheng Hsiung Hsu, Jian Jhong Lin and Caidi Zhao
    Global Attractors for the Discrete Klein-Gordon-Schrödinger Type Equations
    Journal of Difference Equations and Applications 20, (2014), 1404-1426.

  33. Shi-Liang Wu and Cheng-Hsiung Hsu
    Entire Solutions of Non-Quasimonotone Delayed Reaction-Diffusion Equations with Applications
    Proceedings of the Royal Society of Edinburgh A-Mathematics 144, (2014), 1085-1112.

  34. John M. Hong, Cheng-Hsiung Hsu, Ying-Chieh Lin and Weishi Liu
    Linear Stability of the Sub-to-Super Inviscid Transonic Stationary Wave for Gas Flow in A Nozzle of Varying Area
    Journal of Differential Equations 254, (2013), 1957-1976.

  35. Cheng-Hsiung Hsu and Tzi-Sheng Yang
    Corrigendum: Existence, Uniqueness, Monotonicity and Asymptotic Behavior of Travelling Waves for Epidemic Models
    Nonlinearity 26, (2013), 2925-2928.

  36. Cheng-Hsiung Hsu and Jian-Jhong Lin
    Traveling Wave Solutions for Discrete-Time Model of Delayed Cellular Neural Networks
    International Journal of Bifurcation and Chaos 23, (2013), 1350107.

  37. Cheng-Hsiung Hsu and Tzi-Sheng Yang
    Existence, Uniqueness, Monotonicity and Asymptotic Behavior of Traveling Waves for Epidemic Models
    Nonlinearity 26, (2013), 121-139.

  38. John M. Hong, Cheng-Hsiung Hsu, Bo-Chih Huang and Tzi-Sheng Yang
    Geometric Singular Perturbation Approach to the Existence and Instability of Stationary Waves for Viscous Traffic Flow Models
    Communication on Pure and Applied Analysis 12 (2013), 1501-1526.

  39. Shi-Liang Wu and Cheng-Hsiung Hsu
    Entire Solutions of Nonlinear Cellular Neural Networks with Distributed Delays
    Nonlinearity 25, (2012), 2785-2801.

  40. John M. Hong, Cheng-Hsiung Hsu and Bo-Chih Huang
    Existence and Uniqueness of Generalized Stationary Waves for Viscous Gas Flow Through A Nozzle with Discontinuous Cross Section
    Journal of Differential Equations 253, (2012), 1088-1110.

  41. Cheng-Hsiung Hsu, Chi-Ru Yang, Ting-Hui, Yang and Tzi-Sheng Yang
    Existence of Traveling Wave Solutions for Diffusive Predator-Prayer Type Model
    Journal of Differential Equations 252, (2012), 3040-3075.

  42. Zhi-Xian Yu, Rong Yuan, Cheng-Hsiung Hsu and Qin Jiang
    Traveling Waves for Nonlinear Cellular Neural Networks with Distributed Time Delays
    Journal of Differential Equations 251, (2011), 630-650.

  43. John M. Hong, Cheng-Hsiung Hsu and Weishi Liu
    Viscous Standing Asymptotic States of Isentropic Compressible Flows Through A Nozzle
    Archive for Rational Mechanics and Analysis 196, (2010), 575-597.

  44. John M. Hong, Cheng-Hsiung Hsu and Weishi Liu
    Inviscid and Viscous Sationary Waves of Gas Flow Through Contracting-Eexpanding Nozzles
    Journal of Differential Equations 248, (2010), 50-76.

  45. Cheng-Hsiung Hsu and Ting-Hui Yang
    Traveling Wave Solutions of Delayed Lattice Differential System in Competitive Lotka-Volterra Type
    Discrete and Continuous Dynamical Systems-B 14, (2010), 111-128.

  46. Cheng-Hsiung Hsu, Suh-Yuh Yang, Ting-Hui Yang and Tzi-Sheng Yang
    Stability and Bifurcation of A Two-Neuron  with Distributed Time Delays
    Nonlinear Analysis-Real World Applications 11, (2010), 1472-1490.

  47. Jung-Chao Ban, Cheng-Hsiung Hsu, Yin-Heng Lin and Tzi-Sheng Yang
    Pullback and Forward Attractors for Dissipative Lattice Dynamical System with Additive Noises
    Dynamical Systems-An International Journal 24, (2009), 139-155.

  48. Cheng-Hsiung Hsu, Suh-Yuh Yang, Ting-Hui Yang and Tzi-Sheng Yang
    Existence of Periodic Orbits for A System of Delay Differential Equations
    Nonlinear Analysis-Theory, Methods & Applications 71, (2009), 6222-6231.

  49. Cheng-Hsiung Hsu, Chi-Ru Yang and Ting-Hui Yang
    Diversity of Traveling Waves in FitzHugh-Nagumo Type Equations
    Journal of Differential Equations 247, (2009), 1185-1205.

  50. John M. Hong, Cheng-Hsiung Hsu and Ying-Chin Su
    Globally Solutions for Initial Boundary Value Problem of Quasilinear Wave Equations
    Journal of Differential Equations 245, (2008), 223-248.

  51. Cheng-Hsiung Hsu, Chun-Hsien Li and Suh-Yuh Yang
    Diversity of Traveling Wave Solutions in Delayed Cellular Neural Networks
    International Journal of Bifurcation and Chaos 18, (2008), 3515-3550.

  52. Yuan Chang, John M. Hong and Cheng-Hsiung Hsu
    Globally Lipschitz Continuous Solutions to A Class of Quasilinear Wave Equations
    Journal of Differential Equations 236, (2007),
    504-531.

  53. Cheng-Hsiung Hsu and Tzi-Sheng Yang
    Periodic Oscillations Arising and Death in A Delayed-Coupled Loops
    International Journal of Bifurcation and Chaos 17, (2007), 4015-4032.

  54. Cheng-Hsiung Hsu and Tzi-Sheng Yang
    Stability of Cellular Neural Networks with Distributive Time Delays and Noise Perturbation
    International Journal of Bifurcation and Chaos
    17, (2007), 535-544.

  55. Cheng-Hsiung Hsu, Song Sun Lin and Tetu Makino
    Smooth Solutions to A Class of Quasilinear Wave Equations
    Journal of Differential Equations 224, (2006), 229-257.

  56. Cheng-Hsiung Hsu, Suh-Yuh Yang, Ting-Hui Yang and Tzi-Sheng Yang
    On Periodic Orbits of A Two-Neuron Network System with Sigmoidal Activation Functions
    International Journal of Bifurcation and Chaos 5, (2006), 1405-1417.

  57. Cheng-Hsiung Hsu, Song Sun Lin and Tetu Makino
    Periodic Solutions to the 1-Dimensional Compressible Euler Equations
    Hyperbolic Problems: Theory, Numerics and Applications Osaka 2004 (2006).

  58. Cheng-Hsiung Hsu and Suh-Yuh Yang
    Structure of A Class of Traveling Waves in Delayed Cellular Neural Network
    Discrete and Continuous Dynamical System -A 13, (2005), 339-359.

  59. Cheng-Hsiung Hsu and Suh-Yuh Yang
    Existence of Monotonic Traveling Waves in Modified RTD-Based Cellular Neural Networks
    Discrete and Continuous Dynamical System Suppl., (2005), 930-939.

  60. Cheng-Hsiung Hsu and Suh-Yuh Yang
    Traveling Waves in Cellular Neural Networks with Multiple Time Delays
    Discrete and Continuous Dynamical System Suppl., (2005), 410-419.

  61. Cheng-Hsiung Hsu and Suh-Yuh Yang
    Existence of Monotonic Traveling Waves in Lattice Dynamical System
    International Journal of Bifurcation and Chaos 15, (2005), 1-20.

  62. Cheng-Hsiung Hsu and Suh-Yuh Yang
    On Camel-Like Traveling Waves of Cellular Neural Network
    Journal of Differential Equations 196, (2004), 481-514.

  63. Cheng-Hsiung Hsu, Song Sun Lin and Tetu Makino
    On Spherically Symmetric Solutions of the Relativistic Euler Equation
    Journal of Differential Equations  201, (2004), 1-24.

  64. Cheng-Hsiung Hsu and Suh-Yuh Yang
    Wave Propagation in RTD-Based Cellular Neural Network
    Journal of Differential Equations  204, (2004), 339-379.

  65. Jung Chao Ban, Cheng-Hsiung Hsu and Song Sun Lin
    Devil's Staircase of Gap Maps
    International Journal of Bifurcation and Chaos 13, (2003), 115-122.

  66. Cheng-Hsiung Hsu and T. Makino
    Spherically Symmetric Solutions to the Compressible Euler Equation with Asymptotic £^-Law
    Japan Journal of Industrial and Applied Mathematics 20, (2003), 11-15.

  67. Cheng-Hsiung Hsu and Yi-Wen Shih
    Solutions of Semilinear Elliptic Equations with Asymptotic Linear Nonlinearity
    Nonlinear Analysis-Theory, Methods & Applications 50, (2002), 275-283.

  68. Cheng-Hsiung Hsu and Ting-Hui Yang
    Abundance of Mosaic Patterns for CNN with Spatial Variant Templates
    International Journal of Bifurcation and Chaos 12, (2002), 1321-1332.

  69. Jung Chao Ban, Kai Ping  Chien, Cheng-Hsiung Hsu and Song Sun Lin
    Spatial Disorder of Cellular Neural Networks- with Asymmetric Output Function
    International Journal of Bifurcation and Chaos 11, (2001), 2085-2095.

  70. Cheng-Hsiung Hsu and Song Sun Lin
    Spatial Disorder of Cellular Neural Networks
    Japan Journal of Industrial and Applied Mathematics 19, (2001), 143-161.

  71. Jung Chao Ban, Cheng-Hsiung Hsu and Song Sun Lin
    Spatial Disorder of Cellular Neural Networks - with Biased Term
    International Journal of Bifurcation and Chaos 12, (2001),  525-534.

  72. Cheng-Hsiung Hsu, Song Sun Lin and Tetu Makino
    On the Relativistic Euler Equation
    Methods and Applications of Analysis 8, (2001), 159-207.

  73. Cheng-Hsiung Hsu, Song Sun Lin and Tetu Makino
    A Study on the Relativistic Euler Equation
    Surikaisekikenkyusho Kokyuroku 1225, (2001), 46-98.

  74. Cheng-Hsiung Hsu
    Smale Horseshoe of Cellular Neural Networks
    International Journal of Bifurcation and Chaos 10, (2000), 2119-2127.

  75. Cheng-Hsiung Hsu and Song Sun Lin
    Existence and Multiplicity of Traveling Waves in Lattice Dynamical System
    Journal of Differential Equations 164, (2000), 431-450.

  76. Cheng-Hsiung Hsu, Jonq Juang, Song Sun Lin and Wen Wei Lin
    Cellular Neural Networks: Local Patterns for General Templates
    International Journal of Bifurcation and Chaos 10, (2000), 1645-1659.

  77. Cheng-Hsiung Hsu, Song Sun Lin and Wexian Shen
    Traveling Waves in Cellular Neural Networks
    International Journal of Bifurcation and Chaos 9, (1999), 1307-1319.

  78. Cheng-Hsiung Hsu and Song Sun Lin
    Some Qualitative Properties of the Riemann Problem in Gas Dynamical Combustion
    Journal of Differential Equations 140, (1997), 10-43.

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