一、基本信息
姓 名：龙玉华
职 称：副教授
研究领域：微分方程、差分方程定性理论以及其在生物数学中的应用研究
电子邮箱：sxlongyuhua@gzhu.edu.cn
二、个人简介
龙玉华，博士，广州大学数学与信息科学学院副教授，硕士生导师。2007年至今，主讲过数学与信息科学学院本科生的专业课“常微分方程”以及公共课“高等数学”、“线性代数”等，主讲过研究生的“泛函微分方程”课程。 Yuhua Long致力于微分方程、差分方程定理理论以及其在生物数学中的应用研究。近年来在《Commun. Nonlinear Sci. Numer. Simul.》、《Appl. Math. Lett.》、《J. Difference Equ. Appl.》等被SCI收录期刊发表论文多篇。主持国家自然科学基金青年项目1项，参加多项国家自然科学基金项目。
三、教育背景
2001.9-2006.12湖南大学数学与计量经济学院 硕博直读
1994.9-1998.7吉首大学数学系 本科
四、职业经历
1.学术工作经历
2007.4-至今 广州大学数学与信息科学学院
2.海外工作经历
2017.12-2018.12加拿大新布伦瑞克大学访问学者
五、教授课程
高等数学、线性代数、常微分方程（本科）
泛函微分方程（研究生）
六、科研服务
近年主持的研究项目：
国家自然科学基金青年项目：离散Hamilton系统周期解的最小周期，编号：11101098，结题
七、研究成果
近期发表的期刊文章
[1]Yuhua Long*,Xiaoqing Deng.Existence and multiplicity solutions for discrete Kirchhoff type problems.Applied Mathematics Letters,126 (2022) 107817.
[2]Yuhua Long*,Huan Zhang. Three nontrivial solutions for second order partial difference equation via Morse theory. Journal of Function Spaces, (2022), https:// doi.org/ 10.1155/ 2022/1564961.
[3]Yuhua Long*.Multiple results on nontrivial solutions of discrete Kirchhoff type problems. Journal of Applied Mathematics and Computing, (2022), to appear.
[4]Yuhua Long*.Nontrivial solutions of discrete Kirchhoff type problems via Morse theory. Advances in Nonlinear Analysis, (2022), to appear.
[5] Yuhua Long, Lin Wang*, Jia Li. Uniform persistence and multistability in a two-predator-one-prey system with inter-specific and intra-specific competition. Journal of Applied Mathematics and Computing, (2021) https://doi.org/10.1007/s12190-021-01551-8.
[6]Yuhua Long*.Existence of two homoclinic solutions for a nonperiodic difference equation with a perturbation. AIMS Mathematics, 6(5) (2021): 4786–4802.
[7]Yuhua Long*,Yining Chen. Modeling porcine pseudorabies with age structure. Electronic Journal of Differential Equations, 2021(45) (2021): 1-16.
[8]Yuhua Long，Lin Wang*.Global dynamics of a delayed two-patch discrete SIR disease model. Communications on Nonlinear Science and Numerical Simulations, 83 (2020): 105117.
[9]Shaohong Wang,Yuhua Long*. Multiple solutions of fourth-order functional difference equation with periodic boundary conditions, Applied MathematicsLetters, (2020): 106292.
[10]Yuhua Long*.Existence of multiple and sign-changing solutions for a second-order nonlinear functional difference equation with periodic coefficients. Journal of Difference Equations and Applications, 26(7) (2020): 966-986.
[11]Yuhua Long*,Yining Chen.Global stability of a pseudorabies virus model with vertical transmission. Mathematical Bioscience and Engineering, 17(5) (2020): 5234–5249.
[12]Yuhua Long*, Shaohong Wang. Multiple solutions for nonlinear functional difference equations by the invariant sets of descending flow. Journal of Difference Equations and Applications,9(1) (2019): 271-294.
[13]Yuhua Long*,Shaohong Wang,Jiali Chen.Multiple solutions of fourth-order difference equations with different boundary conditions. Boundary Value Problems, 2019 (2019): 152.
[14] Yuhua Long*，Jiali Chen. Existence of multiple solutions to second-order discrete Neumann boundary value problems. Applied Mathematics Letters, 83 (2018): 7–14.
[15] Yuhua Long，Haiping Shi, Xiaoqing Deng*. Nontrivial periodic solutions to delay difference equations via Morse theory. Open Mathematics, 16 (2018): 885–896.
[16] Yuhua Long*，Baoling Zeng. Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence. Open Mathematics, 15 (2017): 1549–1557.
[17]龙玉华*，范瑶颖. 二阶非线性差分方程边值问题的多解性与变号解, 应用数学 31(3)（2018）: 522-532.
