FIXED POINT THEOREMS FOR MEIR-KEELER CONDENSING OPERATORS VIA MEASURE OF NONCOMPACTNESS

In this article, we introduce the notion of Meir-Keleer condensing operator in a Banach space, a characterization using L-functions and provide a few generalization of Darbo fixed point theorem. Also, we introduce the concept of a bivariate Meir-Keleer condensing operator and prove some coupled fixed point theorems. As an application, we prove the existence of solutions for a large class of functional integral equations of Volterra type in two variables.

A New Browder Fixed Point Theorem in Noncompact Hyperconvex Metric Spaces and Its Applications to Section Questions and Intersection Questions

In this paper, a new Browder fixed point theorem is established in the noncompact sub-admissible subsets of noncompact hyperconvex metric spaces. As application, a Ky Fan section theorem and an intersection theorem are obtained.

A Class of a Second-Order Two-Point Boundary Value Problem on a Measure Chain

A class of second-order two-point boundary value problem on a measure chain was considered. Under some suitable conditions, by using the Leggett-Williams fixed point theorem in an appropriate cone, the existence of at least three positive solutions to this nonlinear problem was obtained.

Some Results on the Upper Convex Densities of the Self-Similar Sets at the Contracting-Similarity Fixed Points

In this paper, some results on the upper convex densities of self-similar sets at the contracting-similarity fixed points are discussed. Firstly, a characterization of the upper convex densities of self-similar sets at the contracting-similarity fixed points is given. Next, under the strong separation open set condition, the existence of the best shape for the upper convex densities of self-similar sets at the contracting-similarity fixed points is proven. As consequences, an open problem and a conjecture, which were posed by Zhou and Xu, are answered.

A Modified Fixed Point Method for the Perona Malik Equation

In this work we present a new method to solve the Perona Malik equation for the image denoising. The method is based on a modified fixed point algorithm which is fast and stable. We discretize the equation using a finite volume method by integrating the equation using a fuzzy measure on the control volume. To make our algorithm move faster in time, we have used an optimized domain decomposition which generalize the wave relaxation method. Several test of noised images illustrate this approach and show the efficiency of the proposed new method.

Existence Results of Abstract Impulsive Integrodifferential Systems with Measure of Non-compactness

In this Paper, we study the existence of solutions for the nonlocal integrodifferential equations with interval impulse and measure of non compactness by using M6nch - fixed point theorem. Finally, an example is given to illustrate our main result.

TWO POINTS BOUNDARY VALUE PROBLEMS IN BANACH SPACES

The present paper is concerned with botmdary value problem.for differential inclusions of second order in separable Banach spaces,an existence resuh is proved under weaker conditions and some existence theorems.for nonlinear second order systems can be deduced.form this paper stheorems.

用于定标海表测温辐射计的镓黑体辐射源

设计了镓黑体对海表测温辐射计进行定标。首先,介绍了该黑体的结构与工作原理,对黑体发射率进行仿真,并开展发射率的测量实验,讨论其不确定度的来源。然后,开展了电加热和水浴加热下镓的相变复现实验,讨论电加热功率对镓相变复现的影响。最后,通过红外海面温度自主辐射计实验对该黑体进行验证。结果表明:该黑体基于蒙特卡罗软件仿真的发射率优于0.9988,实验测得的黑体辐射源发射率结果与仿真结果较为吻合,测量重复性(标准偏差)达0.1%;相变温度坪台的复现性均优于±0.03 K;相变温坪附近时,红外海面温度自主辐射计和FLUKE 1524测温仪测得的黑体腔附近温度的数据差值均在±0.15 K以内。设计的镓黑体可以应用到海表测温辐射计进行校准,为发展自主知识产权的海表测温设备提供校准源。

基于大口径高温固定点黑体的光谱辐射照度国家基准量值复现新方法

采用国际前沿的大口径高温固定点黑体新技术,中国计量科学研究院NIM(National Institute of Metrology)组建了大口径钨碳-碳WC-C高温固定点黑体辐射源,在3020.11 K的融化点温度,实现了250~2500 nm光谱辐射照度、相关色温和分布温度基准的量值复现。这是国际上首次将大口径高温固定点黑体技术成功应用于光谱辐射度基准复现领域。针对大口径固定点黑体熔化温坪曲线的特点、以及测量期间温坪曲线中间部分缺失的问题,提出了固定点熔化温坪拐点温度计算新方法,重构了缺失的熔化温坪曲线。采用光谱比较法,通过双光栅光谱比较测量系统将黑体的量值传递至光谱辐射照度副基准灯组,完成光谱辐射照度基准量值的复现和保存。新的量值复现方法将黑体温度的测量不确定度减小为0.36 K,缩短了量传链,实现光谱辐射照度最佳测量不确定度0.25%(k=2)。在250~2500 nm,基于固定点新方法和传统变温黑体法进行量值复现的平均偏差为0.42%,将两种方法相结合,最终实现我国光谱辐射照度基准的测量不确定度(k=2)为:250~400 nm,U rel=1.9%~0.43%;400~1000 nm,U rel=0.43%~0.25%;1000~2200 nm,U rel=0.25%~0.76%;2200~2500 nm,U rel=0.76%~2.4%。基于固定点黑体的光谱辐射照度量值复现技术已经应用于遥感仪器的辐射定标,用于提升仪器的测量准确度。

船载微型Ga-In共晶固定点的现场复现方法研究

将温标固定点技术应用于船载现场是实现温度量值扁平化,提升海洋温度测量水平的重要手段。为了弥补ITS90温标在海洋温区(-5~35℃)范围内固定点数目不足,不能对NTC热敏电阻进行有效校准的缺陷,研制了微型Ga-In共晶固定点,开展了船载控温箱微型Ga-In固定点温坪复现研究,同时探索了环境温度条件下微型Ga-In共晶固定点的复现。采用切线交点法和三次多项式拟合法对微型Ga-In固定点进行了评估和分析。结果表明:微型Ga-In共晶固定点重复性优于1 mK;微型Ga-In共晶固定点应该在固态并低于熔点的环境下保存。采用切线交点法赋值得到微型Ga-In共晶固定点相变温度为15.6549℃,扩展不确定度为1.54 mK(k=2)。

A GLKKM Type Theorem for Noncompact Complete L-Convex Metric Spaces with Applications to Variational Inequalities and Fixed Points

In this paper,a new GLKKM type theorem is established for noncompact complete L-convex metric spaces.As applications,the properties of the solution set of variational in-equalities,intersection point sets,Ky Fan sections and maximal element sets are shown,and a Fan-Browder fixed point theorem is obtained.

EXISTENCE OF MULTIPLE SOLUTIONS TO TWO-POINT BOUNDARY VALUE PROBLEMS OF DYNAMIC EQUATIONS ON MEASURE CHAINS

In this paper, we discuss the existence of sign-changing solution, positive solution and negative solution to two-point boundary value problem of dynamic equations on measure chains using the cone theory and the fixed-point index method. The results are different from the previous results.

功能区对热岛发生频率及其强度的影响

通过定点观测的方法对商业区、工业区、社区和森林公园的热岛发生频率及其强度进行了研究。结果显示,功能区对热岛发生频率及其强度具有明显的影响,但在各季节影响规律各不相同。总体来说,商业区和森林公园对热岛发生频率及其强度影响较大,商业区对热岛效应具有正效应,而森林公园对其则趋向于负效应。结果表明,城市各功能区的热岛效应可以通过生态型功能区规划和特殊管理方式进行缓解。

基于单片机的海洋环境监测系统的控制电路设计

设计并实现了一种基于C8051F340单片机的节能型自治式多功能海洋环境监测系统的控制电路。该电路利用模块化设计方法,通过合理选用器件和设计器件的工作模式,使控制电路具有低功耗、高可靠的特点。实验表明,该控制电路实现了潜标式主浮体对浮标式搭载平台的实时控制,同时实现了浮标搭载平台单向下潜、定点测量、自由上浮、自动避碰等状态的控制,方法简单新颖,实现了对海洋要素的长期连续观测。

临震前地壳变形不动点现象与机制研究

在综合分析国内外地形变前兆研究现状的基础上,结合汶川8.0级地震前GPS、应变、重力等研究结果,提出临震前震源区域可能出现变形不动点现象。地壳变形过程中的不动点现象是临震前区域应力场进入临界状态的重要标志,是地震潜在危险区域划定的重要依据。借助不动点理论,给出汶川地震前变形不动点集合的演化,结合大区域地震活动空区与远场显著形变异常分布,探讨变形不动点现象发生的动力学背景,验证了汶川地震前地壳变形的不动点现象是大区域应力场有序运动的结果。

测度链上的非线性微分方程的正解

应用锥理论和不动点指数方法，在与相应的线性算子第一特征值有关的条件下，获得了测度链上的非线性微分方程Lx（t）=-[τ（t）x^△（t）]^△=f（t，z（σ（t）））的正解的存在性．

一种最佳多延迟无序量测处理算法

针对集中式多传感器目标跟踪系统存在的无序量测处理问题,基于最优线性固定点平滑思想,提出了一种新的最佳多延迟无序量测处理算法。通过理论分析和仿真试验表明,新提出的W1算法与现有的多步延迟无序量测处理算法M1及Z1一样,都是最佳的。

Banach空间中一类非局部混合积分微分方程

研究Banach空间中一类具非局部条件的一阶混合Volterra-Fredholm积分微分方程.利用Hausdorff非紧性测度和Darbo不动点定理,在相关函数非紧、非Lipschitz等较弱的条件下,给出此类方程整体解的存在性,改进了一些已有的结果.

调和映象对的公共不动点定理

引进集值映象与单值映象对的调和概念,建立了一类调和映象对的公共不动点定理,最后讨论了这类映象的随机不动点的存在性.

非局部条件下脉冲微分方程的适度解

讨论非局部条件下脉冲微分方程适度解的存在性,通过考察分段连续函数空间PC([0,b];X)上非紧测度的性质,利用Hausdoff非紧测度和不动点的方法给出非紧半群条件下适度解存在的充分条件,改进和推广了这一领域的相关结果.