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Yan-Hsiou Cheng

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Basic Information

  • Name：Yan-Hsiou Cheng

  • Position：Professor and Chair

  • Research Fields：Direct and inverse problems on Schrodinger equations and p-Laplacian equations; Bifurcation diagram of positive solutions

  • Courses：Calculus, Linear algebra, Advanced calculus, Differential equations, Vector analysis

  • Tel：27321104#55821

  • mail：yhcheng@tea.ntue.edu.tw

  • Office hour：

 

Self Introduction

Education

PhD, Department of Applied Mathematics, National Sun Yat-sen University

Publications

Bibliography

  • Inverse Problems for Various Sturm-Liouville Operators, Department of Applied Mathematics, National Sun Yat-sen University, 2004.

Journal  Papers 

  1. Y.H. Cheng, C.K. Law* and J. Tsay, 2000, Remarks on a new inverse nodal problem, Journal of Mathematical Analysis and Applications 248, 145-155. (SCI, 2000 Impact Factor:0.431)
  2. Y.T. Chen, Y.H. Cheng, C.K. Law* and J. Tsay, 2002, L1 convergence of the reconstruction formula for the potential function, Proceedings of the American Mathematical Society 130, 2319-2324. (SCI, 2002 Impact Factor:0.334, Ranking:116/170=68.2%, Subject Category: Mathematics)
  3. Y.H. Cheng, C.T. Shieh* and C.K. Law, 2005, A vectorial inverse nodal problem, Proceedings of the American Mathematical Society 133, 1475-1484. (SCI, 2005 Impact Factor:0.429, Ranking:101/181=55.8%, Subject Category: Mathematics)
  4. Y.H. Cheng and C.K. Law*, 2006, On the quasinodal map for the Sturm-Liouville problem, Proceedings of the Royal Society of Edinburgh: Section A 136, 71-86. (SCI, 2006 Impact Factor:0.684, Ranking:55/187=29.4%, Subject Category: Mathematics)
  5. Y.H. Cheng and C.K. Law*, 2006, The inverse nodal problem for Hill's equation, Inverse Problems 22, 892-901. (SCI, 2006 Impact Factor:1.319, Ranking:18/150=12%, Subject Category: Mathematics, Applied) (NSYSU) 23
  6. Y.H. Cheng*, T.E. Wang and C.J. Wu, 2010/07, A note on eigenvalue asymptotics for Hill’s equation, Applied Mathematics Letters 23, 1013-1015. (SCI, 2010 Impact Factor:1.155, Ranking:63/236=26.7%, Subject Category: Mathematics, Applied)
  7. Y.H. Cheng*, S.Y. Kung, C.K. Law and W.C. Lian, 2010/11, The dual eigenvalue problems for the Sturm-Liouville system, Computers & Mathematics with Applications 60, 2556-2563. (SCI, 2010 Impact Factor:1.472, Ranking:33/236=14.0%, Subject Category: Mathematics, Applied)
  8. X. Chen, Y.H. Cheng and C.K. Law*, 2011/09, Reconstructing potentials from zeros of one eigenfunction, Transactions of the American Mathematical Society 363, 4831-4851. (SCI, 2011 Impact Factor:1.093, Ranking:33/289=11.4%, Subject Category: Mathematics)
  9. W.C. Wang*, Y.H. Cheng and W.C. Lian, 2011/12, Inverse nodal problems for the p-Laplacian with eigenparameter dependent boundary conditions, Mathematical and Computer Modelling 54, 2718-2724. (SCI, 2011 Impact Factor:1.346, Ranking:40/245=16.3%, Subject Category: Mathematics, Applied)
  10. Y.H. Cheng*, 2012/09, Reconstruction of the Sturm-Liouville operator on a p-star graph with nodal data, Rocky Mountain Journal of Mathematics 42, no. 5, 1431-1446. (SCIE, 2012 Impact Factor : 0.389, Ranking : 232/295 = 78.6%, Subject Category : Mathematics)
  11. X. Chen, Y.H. Cheng and C.K. Law*, 2012/11, A Tikhonov Regularization for the Inverse Nodal Problem for p-Laplacian, Journal of Mathematical Analysis and Applications 395, 230-240. (SCI, 2012 Impact Factor : 1.050, Ranking : 34/295 = 11.5%, Subject Category : Mathematics)
  12. Y.H. Cheng*, 2012/12, An eigenvalue problem for vibrating strings with concave densities, Applied Mathematics Letters 25, 2077-2080. (SCI, 2012 Impact Factor : 1.501, Ranking : 33/247 = 13.4%, Subject Category : Mathematics, Applied)
  13. W.C. Lian*, W.C. Wang and Y.H. Cheng, 2013/03, Existence of sign-changing solutions for the nonlinear p-Laplacian boundary value problem, Analysis and Applications 11(2), 1350004, 15pp. (SCIE, 2013 Impact Factor : 1.500, Ranking : 14/299 = 4.7%, Subject Category : Mathematics)  
  14. Y.H. Cheng*, K.C. Hung and S.H. Wang, 2013/09, Global bifurcation diagrams and exact multiplicity of positive solutions for a one-dimensional prescribed mean curvature problem arising in MEMS, Nonlinear Analysis: Theory, Methods and Applications 89, 284-298. (SCI, 2013 Impact Factor : 1.612, Ranking : 12/302 = 4.0%, Subject Category : Mathematics)
  15. Y.H. Cheng*, W.C. Lian and W.C. Wang, 2014/02, The dual eigenvalue problems for p-Laplacian, Acta Mathematica Hungarica 142(1), 132-151. (SCIE, 2014 Impact Factor : 0.429, Ranking : 233/310 = 75.2 %, Subject Category: Mathematics)
  16. W.C. Wang* and Y.H. Cheng, 2014/3, An inverse problem related to a half-linear eigenvalue problem, Boundary Value Problems, 2014:65. (SCIE, 2014 Impact Factor : 1.014, Ranking : 48/310 = 15.5%, Subject Category : Mathematics)
  17. W.C. Wang* and Y.H. Cheng, 2014/6, On the existence of sign-changing radial solutions to nonlinear p-Laplacian equations in Rn, Nonlinear Analysis: Theory, Methods and Applications 102, 14–22. (SCI, 2014 Impact Factor : 1.327, Ranking : 26/310 = 8.4%, Subject Category : Mathematics)
  18. Y.H. Cheng*, 2014/6, Eigenvalue problems with p-Laplacian operators, Electronic Journal of Differential Equations, Vol. 2014 (2014), No. 139, pp. 1-11. (SCIE, 2014 Impact Factor : 0.524, Ranking : 185/310 = 59.68%, Subject Category : Mathematics)
  19. K.C. Hung*, Y.H. Cheng, S.H. Wang, and C.H. Chuang, 2014/11, Exact multiplicity and bifurcation diagrams of positive solutions of a one-dimensional multiparameter prescribed mean curvature problem, Journal of Differential Equations, Vol. 257 (2014), Issue 9, 3272–3299. (SCI, 2014 Impact Factor : 1.680, Ranking : 16/310 = 5.2%, Subject Category : Mathematics)
  20. Y.H. Cheng, C.K. Law* and Y.C. Luo, 2014/12, Distribution of the Prufer angle in p-Laplacian eigenvalue problems, Electronic Journal of Differential Equations, Vol. 2014 (2014), No. 255, pp. 1-8. (SCIE, 2014 Impact Factor : 0.524, Ranking : 185/310 = 59.68%, Subject Category : Mathematics)
  21. Y.H. Cheng, C.K. Law*, W.C. Lian and W.C. Wang, 2015/8, An inverse nodal problem and Ambarzumyan problem for the periodic p-Laplacian operator with integrable potentials, Taiwanese Journal of Mathematics, Vol. 19, No. 4, 1305-1316. (SCI, 2015 Impact Factor : 0.617, Ranking : 154/312 = 49.4%, Subject Category : Mathematics)
  22. Y.H. Cheng and W.C. Wang*, 2016/5, Inverse nodal problems for the p-Laplacian with eigenparameter dependent energy functions, Boundary Value Problems, 2016(1), 1-15. (SCIE, 2016 Impact Factor : 0.819, Ranking : 98/310 = 31.6%, Subject Category : Mathematics) (2016 SJR : 0.570, Ranking : 46/100 = 46.00%, Subject Category : Algebra and Number Theory, Q3)
  23. Y.H. Cheng, K.C. Hung, and S.H. Wang*, 2016/7, Classification and evolution of bifurcation curves for a one-dimensional prescribed mean curvature problem, Differential and Integral Equations, Vol. 29, No. 7-8, 631-664. (SCIE, 2016 Impact Factor : 0.565, Ranking : 183/310=59.0%, Subject Category : Mathematics, Q3) (2016 SJR : 1.045, Ranking : 123/586 = 20.99%, Subject Category : Applied Mathematics, Q2)
  24. Y.H. Cheng*, K.C. Hung and S.H. Wang, 2016/11, On the classification and evolution of bifurcation curves for a one-dimensional prescribed curvature problem with nonlinearity , Nonlinear Analysis: Theory, Methods and Applications, Vol. 146, 161-184. (SCI, 2016 Impact Factor : 1.192, Ranking : 41/310 = 13.2%, Subject Category : Mathematics) (2016 SJR : 1.520, Ranking : 59/586 = 10.07%, Subject Category : Applied Mathematics, Q1)
  25. Y.H. Cheng and Wei-Chuan Wang*, 2017/3, Nodal properties for p-Laplacian systems, Electronic Journal of Differential Equations, Vol. 2017 (2017), No. 87, 1-8. (SCIE, 2017 Impact Factor : 0.944, Ranking : 83/310 = 26.77%, Subject Category : Mathematics, Q2) (2017 SJR : 0.538, Ranking : 72/151 = 47.68%, Subject Category : Analysis, Q3)
  26. W.C. Wang and Y.H. Cheng*, 2017/6, Sign-changing solutions to a class of nonlinear equations involving p-Laplacian, Rocky Mountain Journal of Mathematics, Vol. 47, No. 3, 971-996. (SCIE, 2017 Impact Factor : 0.330, Ranking : 289/310 = 93.22%, Subject Category : Mathematics, Q4)(2017 SJR : 0.398, Ranking : 206/445 = 46.29%, Subject Category : Mathematics (miscellaneous), Q3)
  27. Y.H. Cheng and W.C. Wang*, 2020/1, Some remarks on a nonhomogeneous eigenvalue problem related to generalized trigonometric functions, Nonlinear Analysis: Theory, Methods and Applications, Vol. 190, 111614. (SCIE, 2020 Impact Factor : 2.064, Ranking : 36/330 = 10.91%, Subject Category : Mathematics, Q1) (2020 SJR : 1.674, Ranking : 38/579 = 6.56%, Subject Category : Applied Mathematics, Q1)
  28. Wei-Chua Chen and Y.H. Cheng*, 2020/7, Remarks on the one-dimensional sloshing problem involving the p-Laplacian operator, Turkish Journal of Mathematics, Vol. 44, No. 4, 1376-1387. (SCIE, 2020 Impact Factor : 0.803, Ranking : 213/330 = 64.55%, Subject Category : Mathematics, Q3) (2020 SJR : 0.454, Ranking : 196/440 = 44.55%, Subject Category : Mathematics (miscellaneous), Q2)
  29. Y.H. Cheng*, 2020/10, On the Neumann eigenvalues for second-order Sturm-Liouville difference equations, Advances in Difference Equations 2020, 599(2020). (SCIE, 2020 Impact Factor : 2.803, Ranking : 13/330 = 3.94%, Subject Category : Mathematics, Q1) (2020 SJR : 0.670, Ranking : 189/616 = 30.68%, Subject Category : Applied Mathematics, Q2)  
  30. Y.H. Cheng*, 2020/11, Reconstruction and stability of inverse nodal problems for energy-dependent p-Laplacian equations, Journal of Mathematical Analysis and Applications 491(2), Article 124388. (SCIE, 2020 Impact Factor : 1.583, Ranking : 63/330 = 19.09%, Subject Category : Mathematics, Q1) (2020 SJR : 0.951, Ranking : 121/616 = 19.64%, Subject Category : Applied Mathematics, Q1)
  31. Y.H. Cheng*, 2021/9, The dual eigenvalue problems of the conformable fractional Sturm-Liouville problems, Boundary Value Problems 2021, Article number: 83 (2021). (SCIE, 2021 Impact Factor : 1.793, Ranking : 53/332 = 15.96%, Subject Category : Mathematics, Q1) (2021 SJR : 0.573, Ranking : 70/171 = 40.94%, Subject Category : Analysis, Q2)
  32. Y.H. Cheng, Kuo-Chih Hung*, Shin-Hwa Wang and Jhih-Jyun Zeng, 2022/05, Upper and lower bounds for the pull-in voltage and the pull-in distance for a generalized MEMS problem, Mathematical Biosciences and Engineering 19(7), 6814-6840. (SCIE, 2021 Impact Factor : 2.194, Ranking : 37/67 = 55.22%, Subject Category : Mathematical & Computational Biology, Q3) (2021 SJR : 0.509, Ranking : 269/565 = 47.61%, Subject Category : Applied Mathematics, Q2)
  33. W.C. Wang and Y.H. Cheng*, 2022/08 On nodal properties for some nonlinear conformable fractional differential equations, Taiwanese Journal of Mathematics 26(4), 847-865. (SCIE, 2021 Impact Factor : 0.870, Ranking : 191/332 = 57.53%, Subject Category : Mathematics, Q3) (2021 SJR : 0.423, Ranking : 205/444 = 46.17%, Subject Category : Mathematics (miscellaneous), Q2)

 

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