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| 1 | GLOBAL ASYMPTOTIC STABILITY FOR A NONLINEAR DELAY DIFFERENCE EQUATION显示文摘In this paper,a sufficient condition for the global asymptotic stability of the solutions of the following nonlinear delay difference equation is obtained, xn+ 1=xn+xn- 1xn- 2 +a xnxn- 1+xn- 2 +a, n =0 ,1 ,..., where a∈ [0 ,∞ ) and the initial values x- 2 ,x- 1,x0 ∈ (0 ,∞ ) .As a special case,a conjecture by Ladas is confirmed. | LiXianyi ZhuDeming | 2002 | Applied Mathematics(A Journal of Chinese Universities)2002，17，2： | 6 |
| 2 | EXISTENCE THEOREMS FOR A SECOND ORDER THREE-POINT BOUNDARY VALUE PROBLEM WITH IMPULSES显示文摘In this paper, two existence theorems are given concerning the following 3-point boundary value problem of second order differential systems with | SunYing ZhuDeming | 2005 | Applied Mathematics(A Journal of Chinese Universities)2005，20，2： | 5 |
| 3 | CODIMENSION 3 BIFURCATIONS OFHOMOCLINIC ORBITS WITH ORBITFLIPS AND INCLINATION FLIPS显示文摘The homoclinic bifurcations in four dimensional vector fields are investigated by setting up a local coordinates near the homoclinic orbit. This homoclinic orbit is nonprincipal in the meanings that its positive semi-orbit takes orbit flip and its unstable foliation takes inclination flip. The existence, nonexistence, uniqueness and coexistence of the 1-homoclinic orbit and the 1-periodic orbit are studied. The existence of the twofold periodic orbit and three-fold periodic orbit are also obtained. | SHUISHULIANG ZHUDEMING | 2004 | Chinese Annals of Mathematics,Series B2004，25，4： | 4 |
| 4 | EXPONENTIAL TRICHOTOMY,ORTHOGONALITY CONDITION AND THEIR APPLICATION显示文摘EXPONENTIALTRICHOTOMY,ORTHOGONALITYCONDITIONANDTHEIRAPPLICATIONZHUDEMINGXuMINAbstractExponentialtrichotomytheoryisdevel... | ZHUDEMING XuMIN | 1997 | Chinese Annals of Mathematics,Series B1997，18，1： | 0 |
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