Recent Advances in Differential Equations

PART I: ORDINARY DIFFERENTIAL EQUATIONS Advances in the Asymptotic and Numerical Solution of Linear Ordinary Differential Equations, F.W.J. Olver Some Unsolved Problems in Asymptotics, R. Wong Periodic Solutions and Heteroclinic Cycles in the Convection Model of a Rotating Fluid Layer, J. Li and X.H. Zhao The Equivalence of Exponential Stability for Impulsive Time-Delay Differential Systems, Z.-H. Guan, Y.-C. Zhou, and X.-P. He Conditions for Identity of Bifurcations in Cubic Hamiltonian Systems with Symmetry or Nonsymmetry Perturbations, Z. Liu, H. Cao, and J. Li PART II: PARTIAL DIFFERENTIAL EQUATIONS Long Time Behavior for the Generalized Ginzburg-Landau Equations, B. Guo The Inverse Scattering Transform for a Variable-Coefficient KdV Equations (with Applications to Shallow Water Waves), H.-H. Dai The Semigroup Theory and Abstract Linear Equations, G. Yang A Unified Approach Towards Nonlinear Parabolic Equations with Strong Reaction in Rn, Y.-W. Qi Global Existence of Smooth Solution to Boltzmann-Poisson System in Semiconductor Physics, G. Cui and Y. Wang Analytical Methods for a Selection of Elliptic Singular Perturbation Problems, N.M. Temme Exponential Attractors of the Strongly Damped Nonlinear Wave Equations, Z. Dai and B. Guo Generalized Isovorticity Principle for Ideal Magnetohydrodynamics, V.A. Vladimirov and K.I. Ilin Scroll Waves in Excitable Media and the Motion of Organization Center, Q. Lu and S. Liu Transport Equations for a General Class of Evolution Equations, M.Z. Guo and X.P. Wang a-Times Integrated Cosine Function, G. Yang Identifying Parameters in Elliptic Systems by Finite Element Methods with Multi-Level Initializing, Y.F. Seid and J. Zou Techniques Monotone Difference Schemes for Two Dimensional Nonhomogeneous Conservation Laws, T. Tang and Z.-H. Teng