论文目录：

Zhang, Dongfeng; Xu, Junxiang; Xu, Xindong Reducibility of three dimensional skew symmetric system with Liouvillean basic frequencies. Discrete Contin. Dyn. Syst. 38 (2018), no. 6, 2851-2877.

Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai A new KAM iteration with nearly infinitely small steps in reversible systems of polynomial character. Qual. Theory Dyn. Syst. 17 (2018), no. 1, 271–289.

Zhang, Dongfeng; Xu, Junxiang Gevrey smoothness of families of invariant curves for analytic area preserving mappings. Acta Appl. Math. 154 (2018), 31–42.


Hong, Weiwei; Zhang, Dongfeng Persistence of lower dimensional invariant tori in a class of reversible systems. Dyn. Syst. 33 (2018), no. 1, 72–92.

Zhang, Dongfeng; Liang, Jianli On high dimensional Schrödinger equation with quasi-periodic potentials. J. Dyn. Control Syst. 23 (2017), no. 3, 655–666.

Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems. Discrete Contin. Dyn. Syst. 37 (2017), no. 4, 2141–2160.

Xu, Xindong; Zhang, Dongfeng Full dimension tori of Schrödinger equation. J. Math. Phys. 57 (2016), no. 11, 112702, 17 pp.

Zhang, Dongfeng; Xu, Junxiang; Wu, Hao， On Invariant Tori with Prescribed Frequency in Hamiltonian Systems，Advanced Nonlinear Studies, Volume 16, Issue 4 (2016), 719-737.

Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng A new KAM theorem for the hyperbolic lower dimensional tori in reversible systems.Acta Appl. Math. 143 (2016), 45–61.
Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems. Discrete Contin. Dyn. Syst. 36 (2016), no. 3, 1677–1692.
Zhang, Dongfeng; Xu, Junxiang On invariant tori of vector field under weaker non-degeneracy condition. NoDEA Nonlinear Differential Equations Appl. 22 (2015), no. 5, 1381–1394.
Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng On the persistence of degenerate lower-dimensional tori in reversible systems. Ergodic Theory Dynam. Systems 35 (2015), no. 7, 2311–2333.
Zhang, Dongfeng; Xu, Junxiang Invariant curves of analytic reversible mappings under Brjuno-Rüssmann's non-resonant condition. J. Dynam. Differential Equations 26 (2014), no. 4, 989–1005.

Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng Degenerate lower dimensional tori in reversible systems. J. Math. Anal. Appl. 387 (2012), no. 2, 776–790.
Cheng, Rong; Zhang, Dongfeng Nontrivial periodic solutions for strong resonance Hamiltonian systems via a local linking theorem. Nonlinear Anal. 74 (2011), no. 16, 5467–5474.
Wang, Xiaocai; Zhang, Dongfeng; Xu, Junxiang Persistence of lower dimensional tori for a class of nearly integrable reversible systems. Acta Appl. Math. 115 (2011), no. 2, 193–207.

Zhang, Dongfeng; Cheng, Rong Gevrey regularity of invariant curves of analytic reversible mappings. Adv. Difference Equ. 2010, Art. ID 324378, 18 pp.
Zhang, Dongfeng; Cheng, Rong On invariant tori of nearly integrable Hamiltonian systems with quasiperiodic perturbation. Fixed Point Theory Appl. 2010, Art. ID 697343, 17 pp.

Cheng, Rong; Zhang, Dongfeng Existence results of periodic solutions for non-autonomous differential delay equations with asymptotically linear properties. Nonlinear Anal. Real World Appl. 11 (2010), no. 5, 3406–3412.
Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng Persistence of lower dimensional elliptic invariant tori for a class of nearly integrable reversible systems. Discrete Contin. Dyn. Syst. Ser. B 14 (2010), no. 3, 1237–1249.

Cheng, Rong; Xu, Junxiang; Zhang, Dongfeng On the existence of periodic solutions for a class of non-autonomous differential delay equations. Topol. Methods Nonlinear Anal. 35 (2010), no. 1, 139–154.

Cheng, Rong; Zhang, Dongfeng A generalized Wirtinger's inequality with applications to a class of ordinary differential equations. J. Inequal. Appl. 2009, Art. ID 710475, 7 pp.

Zhang, Dong Feng; Xu, Jun Xiang Invariant hyperbolic tori for Gevrey-smooth Hamiltonian systems under Rüssmann's non-degeneracy condition. Acta Math. Sin. (Engl. Ser.) 24 (2008), no. 10, 1625–1636.

Zhang, Dong Feng; Xu, Jun Xiang Invariant curves of smooth quasiperiodic reversible mappings. (Chinese) Acta Math. Sinica (Chin. Ser.) 50 (2007), no. 6, 1371–1380.

Zhang, Dongfeng; Xu, Junxiang Invariant tori for Gevrey-smooth Hamiltonian systems under Rüssmann's non-degeneracy condition. Nonlinear Anal. 67 (2007), no. 7, 2240–2257.

Wang, Shaoping; Zhang, Dongfeng; Xu, Junxiang On the persistence of elliptic lower-dimensional tori in Hamiltonian systems under the first Melnikov condition and Rüssmann's non-degeneracy condition. Nonlinear Anal. 66 (2007), no. 8, 1675–1685.
Zhang, Dongfeng; Xu, Junxiang On elliptic lower dimensional tori for Gevrey-smooth Hamiltonian systems under Rüssmann's non-degeneracy condition. Discrete Contin. Dyn. Syst. 16 (2006), no. 3, 635–655.

Zhang, Dongfeng; Xu, Junxiang Gevrey-smoothness of elliptic lower-dimensional invariant tori in Hamiltonian systems under Rüssmann's non-degeneracy condition. J. Math. Anal. Appl. 323 (2006), no. 1, 293–312.