期刊文献+
共找到5篇文章
< 1 >
每页显示 20 50 100
A NEW INTEGRAL INEQUALITY WITH POWER NONLINEARITY AND ITS DISCRETE ANALOGUE 被引量:3
1
作者 杨恩浩 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2001年第2期233-239,共7页
A new integral inequality with power nonlinearity is obtained,which generalizes some extensions of L. Ou-Iang's inequality given by B.G. Pachpatte. Discrete analogy of the new integral inequality and some applica... A new integral inequality with power nonlinearity is obtained,which generalizes some extensions of L. Ou-Iang's inequality given by B.G. Pachpatte. Discrete analogy of the new integral inequality and some application examples are also indicated. 展开更多
关键词 Nonlinear integral inequality and equation bound on solutions discrete analogue
全文增补中
A KIND OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR VOLTERRA FUNCTIONAL DIFFERENTIAL EQUATION 被引量:2
2
作者 鲁世平 《Annals of Differential Equations》 1998年第2期149-155,共7页
In this paper, we study a kind of boundary value problem for volterra functional differential equation:ε x″(t)=f(t,ε)x′(t)+g(t,x(t),(t),x(t-τ),ε), t∈(0,1) x(t)=(t,ε), t∈, x(1)=ψ(ε) Using the theory of dif... In this paper, we study a kind of boundary value problem for volterra functional differential equation:ε x″(t)=f(t,ε)x′(t)+g(t,x(t),(t),x(t-τ),ε), t∈(0,1) x(t)=(t,ε), t∈, x(1)=ψ(ε) Using the theory of differential inequality, we prove the existence of the solution and give a uniformly valid asympototic expansions of the solution. Meanwhile, an estimation of the derivative solution is given as well. 展开更多
关键词 singularly perturbed functional differential equation differential inequality boundary value problem.
原文传递
Spectral gap, isoperimetry and concentration on trees 被引量:3
3
作者 LIU Wei MA Yu Tao WU Li Ming 《Science China Mathematics》 SCIE CSCD 2016年第3期539-556,共18页
We consider the nearest-neighbor model on the finite tree T with generator L. We obtain a twosided estimate of the spectral gap by factor 2. We also identify explicitly the Lipschitzian norm of the operator(-L)^(-1) i... We consider the nearest-neighbor model on the finite tree T with generator L. We obtain a twosided estimate of the spectral gap by factor 2. We also identify explicitly the Lipschitzian norm of the operator(-L)^(-1) in propriate functional space. This leads to the identification of the best constant in the generalized Cheeger isoperimetric inequality on the tree, and to transportation-information inequalities. 展开更多
关键词 tree nearest-neighbor model Poisson equation transportation-information inequality concentration inequality Cheeger-type isoperimetric inequality
原文传递
Output Feedback Stabilization of an Unstable Wave Equation with Observations Subject to Time Delay 被引量:2
4
作者 YANG Kunyi REN Xiang ZHANG Jie 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2016年第1期99-118,共20页
This paper focuses on boundary stabilization of a one-dimensional wave equation with an unstable boundary condition,in which observations are subject to arbitrary fixed time delay.The observability inequality indicate... This paper focuses on boundary stabilization of a one-dimensional wave equation with an unstable boundary condition,in which observations are subject to arbitrary fixed time delay.The observability inequality indicates that the open-loop system is observable,based on which the observer and predictor are designed:The state of system is estimated with available observation and then predicted without observation.After that equivalently the authors transform the original system to the well-posed and exponentially stable system by backstepping method.The equivalent system together with the design of observer and predictor give the estimated output feedback.It is shown that the closed-loop system is exponentially stable.Numerical simulations are presented to illustrate the effect of the stabilizing controller. 展开更多
关键词 Exponential stability observability inequality output feedback unstable boundary condition time delay wave equation
原文传递
Nonexistence of maximizers for the functional of the centroaffine Minkowski problem
5
作者 Jian Lu 《Science China Mathematics》 SCIE CSCD 2018年第3期511-516,共6页
The centroafhine Minkowski problem is studied, which is the critical case of the L_p-Minkowski problem. It admits a variational structure that plays an important role in studying the existence of solutions.In this pap... The centroafhine Minkowski problem is studied, which is the critical case of the L_p-Minkowski problem. It admits a variational structure that plays an important role in studying the existence of solutions.In this paper, we find that there is generally no maximizer of the corresponding functional for the centroaffine Minkowski problem. 展开更多
关键词 centroaffine Minkowski problem Monge-Ampere equation variational structure Blaschke-Santalo inequality
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部