【基本情況】
曠菊紅，博士，教授，碩士生導(dǎo)師。主要從事臨界點(diǎn)理論應(yīng)用方面的研究，在國(guó)內(nèi)外重要期刊上發(fā)表科研論文20余篇，三大檢索收錄10余篇；主持國(guó)家自然科學(xué)基金青年項(xiàng)目1項(xiàng)、廣東省自然科學(xué)基金項(xiàng)目2項(xiàng)、廣東省教育廳育苗工程項(xiàng)目1項(xiàng)，五邑大學(xué)校級(jí)青年基金項(xiàng)目1項(xiàng)。
【聯(lián)系方式】
地址：廣東省江門(mén)市蓬江區(qū)東成村22號(hào) 五邑大學(xué) 數(shù)學(xué)與計(jì)算科學(xué)學(xué)院
郵編：529020
郵箱：[email protected]
【主講課程】
主講《常微分方程》、《數(shù)學(xué)分析》、《高等數(shù)學(xué)》、《概率論與數(shù)理統(tǒng)計(jì)》等課程。
【科研項(xiàng)目】
1.國(guó)家自然科學(xué)基金青年基金項(xiàng)目《p-Laplacian微分和差分方程的同宿解及其定性分析》，時(shí)間：2020.1.1—2022.12.31，經(jīng)費(fèi)：20萬(wàn)，主持；
2．廣東省自然科學(xué)基金面上項(xiàng)目《Hamilton系統(tǒng)的最小周期解以及相關(guān)問(wèn)題研究》，時(shí)間：2025.1.1—2027.12.31，經(jīng)費(fèi)：10萬(wàn)，主持；
3.廣東省自然科學(xué)基金博士啟動(dòng)項(xiàng)目《臨界點(diǎn)理論在p-Laplace微分差分方程中的應(yīng)用》，時(shí)間：2015.1.1—2017.12.31，經(jīng)費(fèi)：10萬(wàn)，主持。
【發(fā)表學(xué)術(shù)論文】
[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.
