应用数学 

 泛函微分方程理论及应用；差分方程理论及应用；Hamilton系统

· 脉冲时滞微分方程周期解、同宿轨及其相关问题研究，主持，国家自然科学基金，项目批准号：11301108，研究期限：2014.01——2016.12.

· 加权Sobolev空间中p-Laplace系统同宿轨的存在性研究，主持，广西自然科学基金，项目批准号：2016GXNSFAA380082，研究期限：2016.09——2019.08

· 哈密尔顿系统周期解、同宿轨与数值模拟等问题，主持，广西自然科学基金，项目批准号：2013GXNSFBA019004，研究期限：2013.04——2016.03.

· Hamilton系统周期解与同宿轨问题，主持，广西教育厅项目，项目批准号：201203YB093，研究期限：2012.05-2015.05.

[1]  Qiongfen Zhang*, Yuan Li. Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Nonlinear Second-Order Nonautonomous Systems in a Weighted Sobolev Space. Journal of Function Spaces, 2015, 2015:1-11.

[2]  Qiongfen Zhang*. Existence of homoclinic solutions for a class of difference systems involving p-Laplacian. Advances in Difference Equations 2014, 2014(291): 1-17.

[3]  Qiongfen Zhang*, Qi-Ming Zhang and Xianhua Tang. Existence of fast homoclinic orbits for a class of second-order non-autonomous problems. Boundary Value Problems 2014, 2014:89.

[4]  Qiongfen Zhang*. Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Damped Vibration Problems with Impulsive Effects. Abstract and Applied Analysis. 2014, 2014:1-12.

[5]  Xiubo Shi, Qiongfen Zhang* and Qi-Ming Zhang. Existence of homoclinic orbits for a class of

p-Laplacian systems in a weighted Sobolev space, Boundary Value Problems, 2013,2013(137):1-18.

[6]  Kai Chen, Qiongfen Zhang*. Existence of Periodic Solutions for a Class of Difference Systems with p-Laplacian. Abstract and Applied Analysis, 2012, 2012: 1-18.

[7]  Qiongfen Zhang*, Kai Chen. Existence of infinitely many homoclinic orbits for a class of aperiodic systems via variational methods. J Appl Math Comput , 2012, 39: 303-317.

[8]  Qiongfen Zhang, X. H. Tang*. Periodic solutions for second order hamiltonian systems. Applications of Mathematics, 2012, 57(4): 407-425.

[9]  Kai Chen, Qiongfen Zhang*. Existence of Periodic Solutions for a Class of Asymptotically p-Linear Discrete Systems Involving p-Laplacian, JOURNAL OF APPLIED MATHEMATICS , 2012, 2012: 1-10.

[10]  Qiongfen Zhang, X. H. Tang*. Existence of homoclinic orbits for a class of asymptotically p-linear aperiodic p-Laplacian systems, Applied Mathematics and Computation, 2012, 218: 7164–7173.

[11]  Qiongfen Zhang, X. H. Tang*. Existence of homoclinic solutions for a class of asymptotically quadratic non-autonomous Hamiltonian systems, Math. Nachr., 2012, 285(5–6): 778-789.

[12 ]  Qiongfen Zhang*, X. H. Tang. Existence of homoclinic solutions for a class of second-order non-autonomous hamiltonian systems, Math. Slovaca, 2012,62(5): 1-12.

[13]  Qiongfen Zhang, X. H. Tang*. On the existence of infinitely many periodic solutions for second-order ordinary p-Laplacian system. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2012,19 :121–136.

[14]  Wen-zhen Gong , Qiongfen Zhang*, X. H. Tang. Existence of subharmonic solutions for a class of second-order p-Laplacian systems with impulsive effects. Journal of Applied Mathematics, 2011,2011, 1-18. (SCI).

[15]  Qiongfen Zhang, X. H. Tang*. Existence of homoclinic orbits for a class of asymptotically p-linear difference systems. with p-Laplacian. Abstract and Applied Analysis, 2011, 2011: 1-17. (SCI).

[16]  Qiongfen Zhang, X. H. Tang*, Qi-Ming Zhang. Existence of periodic solutions for a class of discrete Hamiltonian systems. Discrete Dynamics in Nature and Society, 2011, 2011: 1-14. (SCI).

[17]   Qiongfen Zhang, X. H. Tang. New existence of periodic solutions for second order non-autonomous Hamiltonian systems. Journal of Mathematical Analysis and Applications, 2010, 369(1): 357-367. (SCI).

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