Shao-Yuan Huang

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Basic Information


  • Name :Shao-Yuan Huang

  • Position :Associate Professor

  • Research Fields Differential Equations, Difference Equations

  • Courses :Calculus, Advanced Calculus, Introduction to Mathematics, differential equations, Linear Algebra, Algegra

  • Tel :27321104#55051

  • mail :syhuang@mail.ntue.edu.tw

  • Office hourdownload

 

Self Introduction

Education :

Ph.D. Mathematics, National Tsing Hua University

Experience :

Associate Professor, National Taipei University of Education, 2023/08~

 

Assistant Professor, National Taipei University of Education, 2020/02~2023/07
  Editor in Applied Mathematics E-Notes 2020/01~

 

Assistant Professor, National Formosa University, 2017/02~2020/01

 

Postdoctoral Research Fellow, National Tsing Hua University, 2014/02~2017/01

 

Publications


Journal  Papers 

  • S.-Y. Huang and S.-H. Wang, Bifurcation curves for the one-dimensional perturbed Gelfand problem with the Minkowski-curvature operator, accepted and to appear in J. Differential Equations. (SCI)

  • S.-Y. Huang, Classification and evolution of bifurcation curves of semipositone problem with Minkowski-curvature operator and its applications, J. Differential Equations, 400 (2024), 278–311. (SCI)

  • S.-Y. Huang, W.-H. Lee and M.-H. Ho, The multiplicity of positive solutions for a certain logistic problem. Appl. Math. E-Notes 23 (2023), 572–576. 

  • S.-Y. Huang, Bifurcation curves in Minkowski-curvature problem with nonlinearity, Appl. Math. E-Notes, 23(2023), 544–559.

  • S.-Y. Huang and P.-H. Hsieh, Exact multiplicity and bifurcation curves of positive solutions of generalized logistic problems, Czech. Math. J, 73 (2023), 1081–1098. (SCI)

  • S.-Y. Huang and P.-H. Hsieh, Bifurcation diagrams for two-point boundary value problem with quadratic nonlinearity, Appl. Math. E-Notes, 22(2022), 252–264.

  • S.-Y. Huang and M.-S. Hwang, Bifurcation curves of positive solutions for the Minkowski-curvature problem with cubic nonlinearity, Electron. J. Qual. Theory Differ. Equ., 41(2021), 1–29. (SCI)

  • S.-Y. Huang, Global bifurcation diagrams for Liouville-Bratu-Gelfand problem with Minkowski-curvature operator, Journal of Dynamics and Differential Equations, (2021), 1–16. (SCI)

  • S.-Y. Huang, K.-C. Hung and S.-H. Wang, A global bifurcation theorem for a multiparameter positone problem and its application to the one-dimensional perturbed Gelfand problem, Electron. J. Qual. Theory Differ. Equ., 99(2019), 1–25. (SCI)

  • S.-Y. Huang, Bifurcation diagrams of positive solutions for one-dimensional Minkowski-curvature problem and its applications, Discrete Contin. Dyn. Syst. A., 39 (2019), 3443–3462. (SCI)

  • S.-Y. Huang, Global bifurcation and exact multiplicity of positive solutions for the one-dimensional Minkowski-curvature problem with sign-changing nonlinearity, Commun Pure Appl. Anal., 17(2019), 3267–3284. (SCI)

  • C.-C. Tsai, S.-H. Wang and S.-Y. Huang, Classification and evolution of bifurcation curves for a one-dimensional Neumann–Robin problem and its applications, Electron. J. Qual. Theory Differ. Equ., 85 (2018), 1–30. (SCI)

  • S.-Y. Huang, Classification and evolution of bifurcation curves for the one-dimensional Minkowski-curvature problem and its applications, J. Differential Equations, 264 (2018), 5977–6011. (SCI)

  • S.-Y. Huang, Exact multiplicity and bifurcation curves of positive solutions of a one-dimensional Minkowski-curvature problem and its application, Commun Pure Appl. Anal., 17 (2018), 1271–1294. (SCI)

  • K.-C. Hung, S.-Y. Huang and S.-H. Wang, A global bifurcation theorem for a positone multiparameter problem and its appllication, Discrete Contin. Dyn. Syst. A, 37 (2017), 5127–5149. (SCI)

  • S.-Y. Huang and S.-H. Wang, A variational property on the evolutionary bifurcation curves for the one-dimensional perturbed Gelfand problem from combustion theory, Electron. J. Qual. Theory Differ. Equ., 94 (2016), 1–12. (SCI)

  • S.-Y. Huang and S.-H. Wang, Proof of a Conjecture for the One-dimensional Perturbed Gelfand Problem from Combustion Theory, Arch Ration. Mech. Anal., 222 (2016), 769–825. (SCI)

  • S.-Y. Huang and S.-H. Wang, An evolutionary property of the bifurcation curves for a positone problem with cubic nonlinearity, Taiwanese J. Math., 20 (2016), 639–661. (SCI)

  • S.-Y. Huang and S.-H. Wang, On S-shaped bifurcation curves for a two-point boundary value problem arising in a theory of thermal explosion, Discrete Contin. Dyn. Syst. A, 35 (2015), 4839–4858. (SCI)

  • S. Y. Huang and S. S. Cheng, Existence of eventually positive solutions of higher order impulsive delay differential equations, Rocky Mountain J. Math., 45 (2015), 237–271. (SCI)

  • J. J. Lin, S. Y. Huang and S. S. Cheng, Explicit periodic travelling waves for a discrete lambda-omega reaction-diffusion system,  J. Difference Equ. Appl., 9 (2014), 1289–1306. (SCI)

  • S. Y. Huang and S. S. Cheng, Existence of periodic traveling wave solutions of non-autonomous reaction diffusion system with lambda omega type, J. Math. Anal. Appl., 409 (2014), 607–613. (SCI)

  • S. Y. Huang and S. S. Cheng, Necessary and sufficient conditions of nonoscillatory solutions of impulsive delay differential equations, Electron. J. Qual. Theory Differ. Equ., 38 (2013), 1–18. (SCI)

  • S. Y. Huang and S. S. Cheng, Comparison theorems and necessary/sufficient conditions for nonoscillatory solutions of forced impulsive delay differential equations, Ukrainian Math. J., 64 (2013), 1403–1420. (SCI)

  • S. Y. Huang and S. S. Cheng,  A theorem on characteristic equations and its application to oscillation of functional differential equations, Appl. Math. E-Notes, 13 (2013), 183–207.

  • G. Röst, S. Y. Huang, and L. Székely, On a SEIR epidemic model with delay, Dyn. Syst. Appl., 21 (2012), 33–48. (SCI)

  • S. Y. Huang and S. S. Cheng, Eventually positive solutions for nonlinear impulsive differential equations with delays, Ann. Polon. Math., 104 (2012), 43–70. (SCI)

  • S. Y. Huang and S. S. Cheng, Absence of positive roots of sextic polynomials, Taiwanese J. Math., 15 (2011), 2609–2646. (SCI)

  • S. Y. Huang and S. S. Cheng, Absence of real roots of characteristic functions of functional differential equations with nine real parameters, Taiwanese J. Math., 15 (2011), 395–432. (SCI)

  • S. Y. Huang and S. S. Cheng, Schur stability regions for complex quadratic polynomials, Internat. J. Math. Ed. Sci. Tech., 41 (2010), 950–964.

  • S. Y. Huang and S. S. Cheng, Alternate derivations of the stability region of a difference equation with two delays, Appl. Math. E-Notes, 9 (2009), 225–253.