摘要：The Annals of Differential Equations(ISSN 1002一0942/CN 35一1125/01) is published quarterly(February,May,August and November) by Fuzhou University,Fuzhou,

摘要：Submission of manuseripts The Annals of Differential Equations endeavors to publish original researeh articles of high quality in the fields of differential equations and differentiable dynamics.

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摘要：This paper deals with the oscillation problems of impulsive delay hyperbolic system.A necessary and sufficient condition is obtained.

摘要：In this paper,the exponential stability of fuzzy differential equations with delay is investigated.By employing the formula for the variation of parameters, inequality technique and the norm and measure of matrix,an algebraic criterion for the exponential stability is obtained.

摘要：In this paper,we are concerned with a cubic near-Hamiltonian system,whose unperturbed system is quadratic and has a symmetric homoclinic loop.By using the method developed in [12],we find that the system can have 4 limit cycles with 3 of them being near the homoclinic loop.Further,we give a condition under which there exist 4 limit cycles.

摘要：In this paper,we first obtain the existence of solution to some n-point boun- dary value problem for third-order differential equations using upper and lower solutions method.Based on the results,we explore singular perturbation of another n-point boundary value problem for third-order differential equations with a small positive parameter.Finally,a uniformly valid asymptotic solution is constructed and the error estimation is given.

摘要：In this paper,by means of iterative analysis,the existence for periodic boun- dary value problem of first-order integro-differential differential equations are considered.Some new results are obtained.

摘要：In this paper,we first introduce the concept of k-globally asymptotic stabi- lity and present a differential-difference inequality with infinite delay.By com- bining nonlinear inequality and nonlinear variation-of-parameters formula,we derive the k-globally asymptotic stability criteria for nonlinear neutral system with infinite delay.In the end of this paper,an example is given to illustrate our theory.

摘要：In this paper,a 3D chaotic system with multi-parameters is introduced. The dynamical systems of the original ADVP circuit and the modified ADVP model are regarded as special examples to the system.Some basic dynamical behaviors such as the stability of equilibria,the existence of Hopf bifurcation are investigated.We analyse the Hopf bifurcation of the system comprehensively using the first Lyapunov coefficient by precise symbolic computation.As a result,in fact we have studied the further dynamical behaviors.