摘要：Submission of manuscripts The Annals of Differential Equations endeavors to publish original research artic- les of high quality in the fields of differential equations and differentiable dynamics. Electronic submission of manuscripts prepared in T_EX is encouraged.All electronic submission should be sent to aode@fzu.edu.cn and must include the T_EX source file

摘要：In this paper,some conditions for the globally asymptotic stability in a model for an annual plant are obtained.

摘要：The paper aims to obtain existence and uniqueness of the solution as well as asymptotic estimate of the solution for singularly perturbed nonlinear third- order Robin boundary value problem with a turning point.In order to achieve this aim,existence and uniqueness of the solution for third-order nonlinear Robin boundary value problem is derived first based on the upper and lower solutions method under relatively weaker conditions.In this manner,the goal of this paper is gained by applying the existence and uniqueness results mentioned above.

摘要：The solvability for the nonlinear singularly perturbed boundary value pro- blem of differential system is considered.Using the boundary layer corrective method the formal asymptotic solution is constructed.And using the theory of differential inequality proves the uniform validity of the asymptotic expansion for the solution.

摘要：We prove two-A_r~λ(Ω)-weighted imbedding theorems for differential forms. These results can be used to study the weighted norms of the homotopy operator T from the Banach space L~P(D,∧~l) to the Sobolev space W~(1,p)(∧~(l-1)),l= 0,1,...,n,and to establish the weighted L~P-estimates for differential forms. Finally,we give some applications of the above results to quasiregular mappings.

摘要：In this paper,we discuss the reaction model of tri-molecules and the exi- stence of periodic reaction under certain original density conditions of two ob- jects without diffusion phenomena.We prove that the periodic reaction exhibit some chemical phenomena that violate the second law of thermo-mechanics. Finally,we research similar properties and phenomena concerning Belousov- Zhabotinsky reaction model.

摘要：In this paper,we obtain some results on the existence and uniqueness of solutions to stochastic forest evolution system under non-Lipschitz condition, with Lipschitz condition being considered as a special case.We develop our theory by investigating convergence of sequence of stochastic process defined by successive approximations in the general functional setting.The major tools we used are Bihari inequality and Davis inequality.

摘要：In this paper,by using successive approximation method and fixed-point theorem,we discuss a class of infinite delay integral equation and obtain some sufficient conditions which guarantee the existence and uniqueness of the peri- odic and almost periodic solutions of the system.

摘要：In this paper,we characterize all exponential factors and Darbouxian first integrals of the Chen system. We use the weight homogeneous polynomials and the method of characteristic curves to solve the linear partial differential equations.

摘要：In this paper,we study the oscillation of solutions to the systems of impul- sive neutral delay parabolic partial differential equations.Under two different boundary conditions,we obtain some sufficient conditions for oscillation of all solutions to the systems.