复形上一类混合约束的多目标规划问题

探讨了ｎ维复形上一类具有混合约束的多目标规划问题，并运用代数拓扑方法得出这类规划问题的有效解。     

Levitin–Polyak well-posedness of generalized quasivariational inequalities with functional constraints

In this paper, we study Levitin–Polyak type well-posedness for generalized quasivariational inequality problems with explicit constraints. Four types of Levitin–Polyak well-posedness will be introduced. Various criteria and characterizations will be derived for these types of Levitin–Polyak well-posedness.     

非均匀介质GL型热弹性问题解的存在唯一性

We study a new model named the Green-Lindsay type therm-elastic model for nonhomogeneous media that consists of a system of dynamic thermoelasticity equations of displacement and dynamic heat conduction equation. We construct the model based on the classical GL-model for homogeneous material. This system is coupled dynamic problem and the displacement field and heat field must be solved at the same time. By using Fadeo-Galerkin method, we proved that the problem we proposed exist unique weak solution under some regular assumption.     

Global Existence for Rate-Independent Gradient Plasticity at Finite Strain

We provide a global existence result for the time-continuous elastoplasticity problem using the energetic formulation. For this, we show that the geometric nonlinearities arising from the multiplicative decomposition of the strain can be controlled via polyconvexity and a priori stress bounds in terms of the energy density. While temporal oscillations are controlled via energy dissipation, the spatial compactness is obtained via regularizing terms involving gradients of the internal variables. Dedicated to Sir John Ball on the occasion of his 60th birthday.     

一类积分微分方程概周期解的存在性和唯一性

考虑具无穷时滞的非线性积分微分方程概周期的存在性和唯一性问题,利用矩阵测度和不动点方法获得了一类方程的概周期的存在性和唯一性的充分条件,推广了相应文献的结果.     

半导体模型中退化漂移—扩散问题解的存在性

研究半导体物理中出现的漂移—扩散模型,这是一个关于带电粒子浓度n,p,静电位ψ的抛物—椭圆耦合方程组,并带有混合初边值条件.对初值在L2+(Ω)时弱解的存在性展开讨论,利用正则化方法和适当的函数变换,使抛物型方程的解具有正下界n,p≥ε>0,同时得到一系列先验估计.然后通过紧性引理和Schauder不动点定理,得到初值在L2+(Ω)时弱解的存在性.     

带捕食者密度制约的Lotka—Volterra模型概周期解的存在性

利用指数型二分性及不动点方法讨论了一类带捕食者密度制约的Lotka—Volterra模型，得出了模型的概周期解的存在性定理．     

一类二阶三点非齐次边值问题正解的存在性

本文讨论了一类二阶三点非齐次边值问题正解的存在性。利用Schander不动点定理，得到了正解的一个存在性结果     

A simple method to construct soliton-like solution of the general KdV equation with external force

A simple and direct method is described to construct the soliton-like solution for the general KdV equation with external force. Crucial to the method is the assumption that the solution chosen is a special truncated expansion.     

A SECOND-ORDER PERIODIC BOUNDARY VALUE PROBLEM WITH SINGULAR AND DISCONTINUOUS NONLINEARITY

1. Introduction and Main ResultsIn recent years, singular nonlinear two-point boundary value problems have been studied. For details, see, for instance, [1--14] and references therein. However, the periodicboundary problems with singlllar and discontinuous nonlinearity are quite rarely studied.Motivated by [12,14], we study in this paper a periodic boundary value problem with singularand discontinuous nonlinearity of the form{;<;';<2;::<'> =:<u:>::<,.>,, 5 t 5 27, (1 1)where p is a positi…