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| 1 | OSCILLATION OF NONLINEAR IMPULSIVE PARABOLIC DIFFERENTIAL EQUATIONS WITH SEVERAL DELAYS显示文摘In this paper, oscillatory properties for solutions of certain nonlinear impulsive parabolic equations with several delays are investigated and a series of new sufficient conditions for oscillations of the equation are established. | CuiChenpei ZouMin LiuAnping XiaoLi | 2005 | Annals of Differential Equations2005，21，1： | 20 |
| 2 | A CLASS OF STRONGLY NONLINEAR SINGULARLY PERTURBED INTERIOR LAYER PROBLEMS显示文摘In this paper, a class of strongly nonlinear singularly perturbed interior layer problems are considered by the theory of differential inequalities and the corrective theory of interior layer. The existence of solution is proved and the asymptotic behavior of solution for the boundary value problems are studied. And the satisfying result is obtained. | 唐荣荣 | 2004 | Annals of Differential Equations2004，20，3： | 19 |
| 3 | EXISTENCE OF ALMOST PERIODIC SOLUTIONS FOR DIFFERENCE SYSTEMS显示文摘In this work, we first define the notions of almost periodic sequences, asymptotically almost periodic sequences, as well as uniformly almost periodic sequences,and reveal their basic properties. Then for the almost periodic difference systems of general form we establish the criteria of existence for almost periodic solutions.Especially, several existence theorems are proved in terms of discrete Liapunov functions. | 张书年 | 2000 | Annals of Differential Equations2000，16，2： | 17 |
| 4 | EXISTENCE AND GLOBAL ATTRACTIVITY OF POSITIVE PERIODIC SOLUTION OF A LOGISTIC GROWTH SYSTEM WITH FEEDBACK CONTROL AND DEVIATING ARGUMENTS显示文摘In this paper, we study the existence and global attractivity of positive peri- odic solutions of a Logistic growth system with feedback control and deviating arguments. A sufficient condition is derived for the existence of a unique peri- odic solution with strictly positive components which is globally asymptotically stable by using the method of coincidence degree and Liapunov functional. Some new results are obtained. The known results are improved and generalized. | 杨帆 蒋达清 | 2001 | Annals of Differential Equations2001，17，4： | 17 |
| 5 | POSITIVE SOLUTIONS OF FOURTH-ORDER TWO-POINT BOUNDARY VALUE PROBLEMS显示文摘We study the existence of positive solutions of the equation f(x, y(x),y'(x)) =0 with either y(0)= y(1) =y'(0) = y'(1) =0 or y(0) = y’(1)=y'(0) = y'(1) = 0. We show the existence of at least one positive solution if f is either superlinear of sublinear by a simple application of a fixed point theorem In cones. | 马如云 | 1999 | Annals of Differential Equations1999，15，3： | 16 |
| 6 | POSITIVE SOLUTIONS TO m-POINT BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH p-LAPLACIAN显示文摘In this paper,we are concerned with the existence of positive solutions to an m-point boundary value problem with p-Laplacian of nonlinear fractional differential equation.By means of Krasnosel'skii fixed-point theorem on a convex cone and Leggett-Williams fixed-point theorem,the existence results of solutions are obtained. | Anping Chen~1,2,Yi Chen~1 (1.School of Math.and Computational Science,Xiangtan University,Xiangtan 411005,Hunan 2.Dept.of Math.,Xiangnan University,Chenzhou 423000,Hunan) | 2011 | Annals of Differential Equations2011，27，4： | 15 |
| 7 | NOTE ON GROUND STATES OF NONLINEAR SCHRODINGER SYSTEMS显示文摘 | Thomas Bartsch Zhi-Qiang Wang | 2006 | Journal of Partial Differential Equations2006，19，3： | 14 |
| 8 | EXISTENCE AND UNIQUENESS OF ANTI-PERIODIC SOLUTIONS TO AN nTH-ORDER NONLINEAR DIFFERENTIAL EQUATION WITH MULTIPLE DEVIATING ARGUMENTS显示文摘In this paper,we use the Leray-Schauder degree theory to establish some new results on the existence and uniqueness of anti-periodic solutions to an nth-order nonlinear differential equation with multiple deviating arguments. | Jianzhong Xu 1,2,Zongfu Zhou 1 (1.Dept.of Math.,Bozhou Teachers College,Bozhou 236800,Anhui,2.School of Mathematical Sciences,Anhui University,Hefei 230039) | 2012 | Annals of Differential Equations2012，28，1： | 13 |
| 9 | OSCILLATIONS OF FOURTH ORDER ODE WITH IMPULSES显示文摘Sufficient conditions to guarantee the oscillations of fourth order ODE with impulses are obtained. The importance of the impulsive effect on the oscillations of higher order differential equations is stressed. | 冯伟贞 | 2003 | Annals of Differential Equations2003，19，2： | 13 |
| 10 | Existence of Positive Solutions for Kirchhoff Type Problems with Critical Exponent显示文摘 | SUN Yijing LIU Xing | 2012 | Journal of Partial Differential Equations2012，25，2： | 12 |
| 11 | NEW EXPLICIT SOLUTIONS TO THE (2+1)-DIMENSIONAL BROER-KAUP EQUATIONS显示文摘Applying the homogeneous balance method, we have found the explicit and soliton solutions and given a successive formula of finding explicit solutions to the(2+1)-dimensional Broer-Kaup equations. Moreover, by using the Lie group method, we have discussed the similarity solutions to the (2+1)-dimensional Broer-Kanp equations. | LiuXiqiang | 2004 | Journal of Partial Differential Equations2004，17，1： | 11 |
| 12 | THE UNIQUENESS OF LIMIT CYCLE AND THE STRUCTURE OF CRITICAL POINT AT INFINITY FOR A CLASS OF CUBIC SYSTEM显示文摘A class of cubic system, which is an accompany system of a quadratic differential one, is studied. It is proved that the system has at most one limit cycle, and the critical point at infinity is a higher order one. The structure and algebraic character of the critical point at infinity are obtained. | Xie Xiangdong Chen Fengde | 2005 | Annals of Differential Equations2005，21，3： | 11 |
| 13 | THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM OF NONLINEAR INTEGRO-DIFFERENTIAL SYSTEM显示文摘In this paper, using the differential inequality and singularly perturbed theory, the singularly perturbed boundary value problems for nonlinear integrodifferential system has been studied. Under some appropriate assumptions, the existence of solution has been proved and the uniform validness of the asymptotic expansions for arbitrary nth-order have been obtained simply and conveniently. | 唐荣荣 | 2004 | Annals of Differential Equations2004，20，4： | 11 |
| 14 | POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEM FOR A SYSTEM OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS显示文摘By using topological method, we study a class of boundary value problem for a system of nonlinear ordinary differential equations. Under suitable conditions,we prove the existence of positive solution of the problem. | LiHongyu SunJingxian | 2005 | Annals of Differential Equations2005，21，2： | 11 |
| 15 | THE NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH BOUNDARY PERTURBATION显示文摘The nonlinear singularly perturbed problems for reaction diffusion equations with boundary perturbation are considered. Under suitable conditions, using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems is studied. | OuyangCheng MoJiaqi | 2005 | Annals of Differential Equations2005，21，2： | 10 |
| 16 | MOSER—TRUEDINGER INEQUALITY ON COMPACT RIEMANNIAN MANIFOLDS OF DIMENSION TWO显示文摘 | 李宇翔 | 2001 | Journal of Partial Differential Equations2001，14，2： | 10 |
| 17 | OSCILLATION AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS WITH IMPULSES显示文摘OSCILLATIONANDASYMPTOTICBEHAVIOROFSOLUTIONSOFDELAYDIFFERENTIALEQUATIONSWITHIMPULSESShenJianhua(申建华)&WangZhicheng(王志成)(HunanUn... | 申建华 王志成 | 1994 | Annals of Differential Equations1994，10，1： | 10 |
| 18 | PERSISTENCE AND GLOBAL STABILITY FOR TWO-SPECIES NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY显示文摘In this paper, a non-autonomous predator-prey model with diffusion and continuous time delay is studied, where the prey can diffuse between two patches of a heterogeneous environment with barriers between patches, but for the predator, the diffusion does not involve a barrier between patches, further it is assumed that all the parameters are time-dependent. It is shown that the system can be made persistent under some appropriate conditions. Moreover,sufficient conditions that guarantee the existence of a unique periodic solution which is globallv asvmptotic stable are derived. | 陈凤德 史金麟 陈晓星 | 2004 | Annals of Differential Equations2004，20，2： | 10 |
| 19 | ON GLOBAL ROBUST STABILITY FOR INTERVAL HOPFIELD NEURAL NETWORKS WITH TIME DELAY显示文摘The theorem obtained by Liao was not true (see [2]). So, this paper presents some criteria of global robust stability for interval Hopfield neural networks with time delay. The methods to judge the robust stability are practical and easily verifiable. | 王林山 高玉英 | 2003 | Annals of Differential Equations2003，19，3： | 9 |
| 20 | On the Lorenz Systems for the Incompressible Flow between Two Concentric Rotating Cylinders显示文摘 | WANG Heyuan LI Kaitai | 2010 | Journal of Partial Differential Equations2010，23，3： | 9 |
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