单广义位移的深梁理论和中厚板理论

经典的梁板弯曲理论由于未考虑横向剪切变形的影响而只能适用于细长梁和薄板,传统的多广义位移的深梁理论和中厚板理论由于忽视了转角与挠度之间的内在关系而只能适用于短粗梁和中厚板。这两种理论存在着转角的独立性与不独立性之间的矛盾,因而不相兼容。鉴于此从基本假设出发,既考虑了横向剪切影响,又确定了转角与挠度的关系,导出了单广义位移的深梁理论和中厚板理论,给出了几种简单梁的解析解,并用数值算例验证了这一理论的适用性。     

A local boundary condition coupled to a finite element method to compute guided modes of optical fibres under the weak guidance assumptions

An efficient method coupling a local boundary condition to a finite element technique is proposed to compute guided modes of optical fibres under the weak guidance assumptions. This method is designed to provide accurate solutions for optical fibres with no restriction on their shape as well as on their refractive index profile. Several numerical experiments are performed to demonstrate this point. Copyright © 2000 John Wiley & Sons, Ltd.     

Characterization of equilibrium strategies in a class of difference games

We formulate a class of N player difference games and derive open—loop and Markov equilibria. It turns out that both types of equilibria can be characterized by a set of difference equations that describe the equilibrium dynamics. We analyze the stability properties of the difference equations that correspond to an equilibrium and find that in both the open—loop and the Markov game there is convergence towards a steady state equilibrium     

Nonlinear Boundary Value Problems on Sequence Spaces

In this paper we study the solvability of nonlinear, discrete-time boundary value problems for functional equations. Conditions are established for the existence of solutions to problems of the form $$x(k + 1) = f(k, x(k)) + lambda g(k, x(k)); quad k = 0, 1, 2, ldots$$     

Some Invariant Manifolds for Functional Difference Equations with Infinite Delay

For nonlinear autonomous functional difference equations, the existence of the local stable manifolds, together with the local unstable manifolds and the local center-unstable manifolds, is shown. As an application, the principle of linearization which states that stabilities and instabilities for the zero solution of nonlinear equations can be derived from those of the zero solution of the linearized equations under some circumstances is established for functional difference equations.