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| 1 | Weak type heterodimensional cycle bifurcation with orbit-flip显示文摘In this paper, we study the weak type heterodimensional cycle with orbit-flip in its non-transversal orbit by using the local moving frame approach. For the first two subcases, we present the sufficient conditions for the existence, uniqueness and non-coexistence of the homoclinic orbit, heteroclinic orbit and periodic orbit. Based on the bifurcation analysis, the bifurcation surfaces and the existence regions are located. And for the third subcase, we theoretically established both the coexistence condition for the homoclinic loop and the periodic orbit and the coexistence condition for the persistent heterodimensional cycle and multiple periodic orbits due to the weak type of the transversal heteroclinic orbit. Moreover, an analytical example is presented for this subcase. | LU QiuYing ZHU DeMing GENG FengJie | 2011 | Science China Mathematics2011，54，6： | 3 |
| 2 | Bifurcations of heterodimensional cycles with two saddle points 显示文摘 | Geng Fengjie Zhu Deming Xu Yancong | 2009 | Chaos Solitons Fractals2009，39，： | 1 |
| 3 | Degenerate bifurcations of nontwisted heterodimensional cycles with codimension 3 显示文摘 | Liu Dan Geng Fengjie Zhu Deming | 2008 | Nonl Anal2008，68，： | 1 |
| 4 | Periodic boundary value problems for first-order impulsive dynamic equations on time scales显示文摘 | GENG Fengjie XU Yancong ZHU Deming | 2008 | Nonlinear Analysis2008，69，： | 1 |
| 5 | Differential equations involving causal operators with nonlinear periodic boundary conditions显示文摘 | GENG Fengjie | 2008 | Mathe- matical and Computer Modelling2008，，： | 1 |
| 6 | On relative φo-stability of nonlinear systems of functional differential equations显示文摘 | WANG Peiguang GENG Fengjie | 2003 | International Journal of Pure and Applied Mathematics2003，1，： | 1 |
| 7 | Periodic boundary value problems for first-order impulsive dynamic equations on time scales显示文摘 | Geng Fengjie Xu Yancong | 2008 | Nonlinear Analysis2008，69，： | 1 |
| 8 | A new existence result for impulsive dynamic equations on time scales显示文摘 | Geng Fengjie Zhu Deming Lu Qiuying | 2007 | Appl Math Lett2007，20，2： | 1 |
| 9 | Periodic boundary value problems for first-order impulsive dynamic equations on time scales显示文摘 | Fengjie Geng Yancong Xu Deming Zhu | 2008 | Nonlinear Analysis2008，，69： | 1 |
| 10 | On relativeφ0-stability of nonlinear systems of functional differential equations显示文摘 | WANG Peiguang GENG Fengjie | 2003 | International Journal of Pure and Applied Mathematics2003，1，： | 1 |
| 11 | POSITIVE SOLUTIONS FOR p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES显示文摘p 拉普拉斯算符的三点的边界价值问题动态方程准时,规模被调查。由使用 Krasnosel 鈥檚k ii 鈥檚 定点定理和定点索引定理,标准为至少一个的存在被完成,二或 2n 积极答案。而且,一些例子被包括说明主要定理。 | Geng Fengjie Zhu Deming Li Hongzhi | 2007 | Applied Mathematics(A Journal of Chinese Universities)2007，22，1： | 0 |
| 12 | φ_0-STRICT STABILITY OF DELAY DIFFERENCE EQUATIONS WITH VARIATIONAL LYAPUNOV METHOD显示文摘In this paper, a new type of stability, namelyφ0-strict stability is extended for the delay difference equations, and by using variational cone-valued Lyapunov-like functions some sufficient conditions for such stability to hold are given. | Geng Fengjie Zhu Deming | 2007 | Annals of Differential Equations2007，23，1： | 0 |
| 13 | BOUNDARY VALUE PROBLEM TO DYNAMIC EQUATION ON TIME SCALE显示文摘In this paper we consider a nonlinear first-order boundary value problem on a time scale. The existence results of three positive solutions are obtained using fixed point theorems. Finally,examples are presented to illustrate the main results. | Jinying Song,Fengjie Geng (School of Information Engineering,China University of Geoscience,Beijing 100083) | 2011 | Annals of Differential Equations2011，27，3： | 0 |
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