【基本情况】

旷菊红，博士，教授，硕士生导师。主要从事临界点理论应用方面的研究，在国内外重要期刊上发表科研论文20余篇，三大检索收录10余篇；主持国家自然科学基金青年项目1项、广东省自然科学基金项目2项、广东省教育厅育苗工程项目1项，五邑大学校级青年基金项目1项。

【联系方式】

地址：广东省江门市蓬江区东成村22号 五邑大学 数学与计算科学学院

邮编：529020

邮箱：juhongkuang@163.com

【主讲课程】

主讲《常微分方程》、《数学分析》、《高等数学》、《概率论与数理统计》等课程。

【科研项目】

1.国家自然科学基金青年基金项目《p-Laplacian微分和差分方程的同宿解及其定性分析》，时间：2020.1.1—2022.12.31，经费：20万，主持；

2．广东省自然科学基金面上项目《Hamilton系统的最小周期解以及相关问题研究》，时间：2025.1.1—2027.12.31，经费：10万，主持；

3.广东省自然科学基金博士启动项目《临界点理论在p-Laplace微分差分方程中的应用》，时间：2015.1.1—2017.12.31，经费：10万，主持。

【发表学术论文】

[1] Juhong Kuang and Zhiming Guo. Periodic solutions with prescribed minimal period for second-order Hamiltonian systems with non-symmetric potentials. Applied Mathematics Letters, 155 (2024) 109123.

[2] Juhong Kuang and Jiayi Liao. Existence of positive solutions for second-order differential equations with two-point boundary value problems involving p-Laplacian. Journal of Applied Mathematics and Computing, 70 (2024) 1523-1542.

[3] Juhong Kuang and Weiyi Chen. Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities. Open Mathematics, 20 (2022) 974-985.

[4] Juhong Kuang, Weiyi Chen and Zhiming Guo. Periodic solutions with prescribed minimal period for second order even Hamiltonian systems. Communications on Pure and Applied Analysis, 21 (2022) 47-59.

[5] Juhong Kuang and Zhiming Guo. Heteroclinic solutions for a class of p-Laplacian difference equations with a parameter. Applied Mathematics Letters, 100 (2020) 106034.

[6] Juhong Kuang and Lingju Kong. Positive solutions for a class of singular discrete Dirichlet problems with a parameter. Applied Mathematics Letters, 109 (2020) 106548.

[7] Juhong Kuang and Youyuan Yang. Variational approach to anti-periodic boundary value problems involving the discrete p-Laplacian. Boundary Value Problems, 2018 (2018) 1-11.

[8] Juhong Kuang. Existence of homoclinic solutions of higher-order periodic difference equations with p-Laplacian. Journal of Mathematical Analysis and Applications, 417 (2014) 904-917.

[9] Juhong Kuang and Zhiming Guo. Homoclinic solutions of periodic difference equations with asymptotically linear nonlinearities. Nonlinear Analysis, 89 (2013) 208-218.

[10] Juhong Kuang, Moxun Tang and Jianshe Yu. The mean and noise of protein numbers in stochastic gene expression. Journal of Mathematical Biology, 67 (2013) 261-291.