OSCILLATORY BEHAVIOR OF SOLUTIONS OF CERTAIN THIRD ORDER MIXED NEUTRAL DIFFERENCE EQUATIONS

The objective of this paper is to study the oscillatory and asymptotic properties of the mixed type third order neutral difference equation of the form△（an△^2（xn＋bnxn-τ1＋cnxn＋τ2））＋qnx^βn＋1-σ1＋pnx^^βn＋1＋σ2=0,where （an）, （bn}, （cn}, （qn} and （pn} are positive real sequences, β is a ratio of odd positive integers, τ1, τ2, and σ2 are positive integers. We establish some sufficient conditions which ensure that all solutions are either oscillatory or converges to zero. Some examples are presented to illustrate the main results.

Dynamic Analysis of Some Impulsive Fractional-Order Neural Network with Mixed Delay

In this paper,the authors study some impulsive fractionalorder neural network with mixed delay. By the fractional integral and the definition of stability, the existence of solutions of the network is proved,and the sufficient conditions for stability of the system are presented. Some examples are given to illustrate the main results.

Riemann-Hilbert problem for first order complex equations of mixed type with degenerate curve

This paper considers the Riemann-Hilbert problem for linear mixed（elliptichyperbolic） complex equations of first order with degenerate curve in a simply connected domain. We first give the representation theorem and uniqueness of solutions for such boundary value problem. Then by using the methods of successive iteration and parameter extension, the existence of solutions for this problem is proved.

Oscillation of Second Order Nonlinear Neutral Differential Equations with Mixed Neutral Term

In this paper, we obtained some sufficient conditions for the oscillation of all solutions of the second order neutral differential equation of the form where , and . Examples are provided to illustrate the main results.

ORDER OF MEAN APPROXIMATION BY MIXED QUASI HERMITE-FEJER INTERPOLATION

In this paper we introduce a new kind of the mixed Hermite--Fejér interpolation with boundary condi- tions and obtain the mean approximation order.Our results include a new theorem of Varma and Prasad.Be- sides,we also get some other results about the mean approximation.

NUMERICAL RESEARCH ON THE COHERENT STRUCTURE IN THE VISCOELASTIC SECOND-ORDER MIXING LAYERS

Numerical simulations have been performed in time-developing plane mixing layers of the viscoelastic second-order fluids with pseudo-spectral method. Roll-up, pairing and merging of large eddies were examined at high Reynolds numbers and low Deborah numbers. The effect of viscoelastics on the evolution of the large coherent structure was shown by making a comparison between the second-order and Newtonian fluids at the same Reynolds numbers.

An Adaptive Least-Squares Mixed Finite Element Method for Fourth Order Parabolic Problems

A least-squares mixed finite element (LSMFE) method for the numerical solution of fourth order parabolic problems analyzed and developed in this paper. The Ciarlet-Raviart mixed finite element space is used to approximate. The a posteriori error estimator which is needed in the adaptive refinement algorithm is proposed. The local evaluation of the least-squares functional serves as a posteriori error estimator. The posteriori errors are effectively estimated. The convergence of the adaptive least-squares mixed finite element method is proved.

A Second Order Characteristic Mixed Finite Element Method for Convection Diffusion Reaction Equations

A combined approximate scheme is defined for convection-diffusion-reaction equations. This scheme is constructed by two methods. Standard mixed finite element method is used for diffusion term. A second order characteristic finite element method is presented to handle the material derivative term, that is, the time derivative term plus the convection term. The stability is proved and the L2-norm error estimates are derived for both the scalar unknown variable and its flux. The scheme is of second order accuracy in time increment, symmetric, and unconditionally stable.

Development characteristics of the third-order sequence of Upper Devonian–Lower Carboniferous shore-mixed shelf in Tarim Basin, NW China

Based on the study of stratigraphic sedimentary facies of the prototype sedimentary basin formed in the Late Devonian to Permian Period in the Tarim Basin, the prototype sedimentary basin are divided into five order sequences according to the theory of sequence stratigraphy. It is considered that the Upper Devonian–Lower Carboniferous shore-mixing shelf in the lower part of the prototype sedimentary basin is a typical third-order sequence and a sequence development model is established. The third-order sequence is actually a transgression systems tract and highstand systems tract cycle assemblage, and the type I sequence(no lowstand systems tract) is a typical developmental mode of the third order sequence, and the identification mark is the existence of huge mudstone and limestone wedges from sea to land. The fifth-order parasequence is the basic sequence, which is a single cycle sequence. The thin layer limestone isochronous sediments, which are easy to be identified in the mixed shelf areas, are the isochronous sediments of the largest or secondary marine-flooding surface. The mixed shelf area belongs to the equilibrium sedimentary profile of internal and external sediments, and there is no condensed section. The inclined deposition phenomenon of extraneous source sediments in the sea area weakens or disappears in the mixed shelf area. The paleogeomorphology at the bottom of the third-order sequence is a terrace-slope break zone. This paleogeomorphological feature is not only the main reason for the sedimentary diachronism of Donghe sandstone, but also the main reason for the formation of the transgression-highstand fourth-order cyclic sequences of the Donghe sandstone section and its upper gravel-bearing sandstone section.

考虑电压-无功调节的台区互联装置规划方法

伴随分布式能源广泛接入低压配电网,其对配电网运行灵活性和消纳能力的要求不断提高。利用低压柔性互联装置将独立运行的低压配电台区分区互联,避免传统电压调节和无功补偿装置频繁动作。考虑到柔性互联装置造价昂贵,协同传统电压-无功调节装置,文中提出低压柔性互联装置的选址定容规划方法。首先,分析低压柔性互联装置拓扑和运行方式,建立其潮流模型。其次,建立低压柔性互联装置优化配置的双层规划模型,上层规划以年综合费用最小为目标,下层规划考虑电压-无功协调控制时间序列模型,以运行成本和电压偏差最小为目标,基于粒子群优化算法和混合整数二阶锥规划算法交替求解,得出配电系统最优柔性互联方案和最优运行方式。最后,在IEEE 33节点系统上进行实例分析,验证该双层规划算法的有效性。结果表明,所提方法能有效减少柔性互联装置的过度布置,同时减少由分布式能源频繁波动造成的运行成本。将模型凸化并线性化的方法明显提高了求解效率。

Higher-order squeezing of quantum field and higher-order uncertainty relations in non-degenerate four-wave mixing

It is found that the field of the combined mode of the probe wave and the phase conjugate wave in the process of non-degenerate four-wave mixing exhibits higher-order squeezing to all even orders. The higher-order squeezed parameter and squeezed limit due to the modulation frequency are investigated. The smaller the modulation frequency is, the stronger the degree of higher-order squeezing becomes. Furthermore, the hlgher-order uncertainty relations in the process of non-degenerate four-wave mixing are presented for the first time. The product of higher-order noise moments is related to even order number N and the length L of the medium.

基于凸包理论的含风电电力系统负荷恢复方案优化

大停电事故后,合理的负荷恢复策略对加快电力系统恢复、减少停电损失具有重要意义。针对标准交流潮流方程的非凸性导致负荷恢复模型求解效率低的问题,提出了基于凸包理论的含风电电力系统负荷恢复方案优化方法。首先,简要介绍了凸包理论以及非线性函数的凸包构建方法。其次,针对风电出力的不确定性,采用条件风险价值理论处理风电波动带来的风险,进而建立了直角坐标系下基于凸包理论的电力系统负荷恢复二阶锥优化模型,其中,交流潮流方程中的非线性项采用凸包表达。针对无法精确确定凸包参数的问题,提出了基于迭代更新的参数优化方法,减少因凸包引入的松弛误差。所提出的模型为混合整数二阶锥规划模型,可采用商业求解器高效求解。最后,采用IEEE 39节点系统和改进的广东电力系统验证了所提出模型的有效性。

领导-跟随混合阶异质多智能体系统的一致性

混合阶异质多智能体系统由静态领导者和一阶、二阶和三阶积分器型跟随者组成.首先,在无向和有向通讯网络条件下,利用设计线性滤波器的方法提出了一致性协议;其次,基于李雅普诺夫直接法、拉塞尔不变集原理和矩阵理论证明了协议的可行性;最后,通过2个仿真算例验证了所得结论的有效性.

经济秩序法益的应然类型与刑法保护

我国经济刑法以经济秩序作为保护法益具有“先天性的缺陷”。一方面,秩序本身的高度抽象性、模糊性以及我国计划经济时期以“秩序管理”为本位的残余观念为秩序法益带来诸多诟病。另一方面,现有通说及刑法规定未能科学合理地对不同类型经济秩序加以区分并分别阐明其正当性及保护方式。对此,应当结合我国刑法的实际情况,在肯定秩序的法益价值前提下,将经济秩序法益划分为可还原型经济秩序法益、不可还原型经济秩序法益及混合型经济秩序法益。可还原型秩序法益应当以保护个人法益为核心。不可还原型秩序法益应当区分为国家型和社会型两种,前者的正当性根植于宪法中,以国家利益为核心,后者的正当性基于主体间的自发自生秩序,以保护制度信赖为关键。混合型秩序中个人法益、实体性法益与秩序法益的地位相当,在保护方式上应当二者兼顾,不可偏废。

区域海事事故治理效果动态综合评价

为准确评价区域海事事故治理效果,通过构建动态综合评价模型,为水上交通安全规划提供决策依据。首先,从事故的绝对指标与相对指标角度出发,建立包含8个指标的区域海事事故治理效果评价指标体系。其次,使用博弈赋权法对熵权法所得权重和指标相关性权重确定法(Criteria Importance Through Intercriteria Correlation, CRITIC)所得权重进行组合,以确定各时段评价指标组合权重,并采用逼近理想解排序法(Technique for Order Preference by Similarity to Ideal Solution, TOPSIS)对各地区海事事故治理效果进行各时段静态综合评价。再次,通过混合时序算子集结各时段静态综合评价值,求得各地区海事事故治理效果的动态综合评价值,进而判断各地区海事事故的治理效果。最后,运用所建评价模型对2017—2021年上海、浙江、广东和山东4个地区海事事故治理效果进行动态综合评价。研究结果显示:与单一赋权TOPSIS法相比,博弈赋权-TOPSIS法所得静态综合评价结果更为合理可靠;与单一时序算子相比,混合时序算子所得动态综合评价结果更为合理可靠;随着海事事故治理策略和治理强度不同,上海和广东地区海事事故治理效果呈上升趋势,而浙江和山东地区海事事故治理效果呈下降趋势;广东地区海事事故治理效果稳定性最强,而浙江地区海事事故治理效果稳定性最弱;上海地区海事事故治理效果最好,而浙江地区海事事故治理效果最差。

基于多目标双层规划的分布式电源选址定容

针对高比例分布式电源(distributed generators, DGs)并网位置与容量大小优化问题,提出一种解决多DGs选址定容问题的多目标双层优化模型。该模型中上层模型结合损耗灵敏度和电压稳定指数挑选并网位置,下层模型获得并网位置后以有功损耗、电压偏移指数、电压稳定指数为优化目标函数调整DGs容量。其次,由于下层模型中含有非凸的DistFlow潮流方程,通过二阶锥凸松弛技术将下层模型转化为混合整数二阶锥规划模型,并运用多权重法将多目标优化模型转化为易于处理的单目标优化模型。最后在PG&E69节点系统中测试,结果表明,DGs在最佳位置接入特定容量,可显著降低配电网有功损耗,改善电压分布、提高电网电压稳定性。与现有文献中优化算法对比分析,验证了所提模型的有效性,此外,还分析了测试系统接入DGs的最佳数目和渗透水平。

基于订单相似度的AutoStore系统订单分批问题研究

作为一种高度自动化、智能化的高密度存储系统,AutoStore系统受到电商企业广泛关注。相较传统仓库,该系统能显著提高效率、降低成本。为进一步优化其效率,针对AutoStore系统中订单分批问题,以最大化单批订单相似度为目标构建了混合整数线性规划模型,并设计了基于层次聚类的启发式算法进行求解。根据现实订单数据设置了多个不同规模算例,通过实验证明了算法可行性。结果表明对不同规模订单分批问题,所提出算法均可在短时间内取得较优解。

《精神疾病诊断和统计手册》第5版双相障碍伴混合特征的专家问卷调查

目的:评价我国精神科医师对《精神疾病诊断和统计手册》第5版中双相障碍伴混合特征的态度和观点以及临床适用性。方法:通过网络调查问卷,调查214名精神病学相关医疗人员,汇总专家建议,进行分析。结果:多数专家肯定了混合特征这一标注的确立,特别是对于抑郁障碍有不同意义。但是调查结果显示认为将典型的躁狂发作症状(50%)和典型的抑郁发作症状(63.55%)列为伴混合特征症状的反向症状合理的比例偏低。抑郁背景上,易激惹、激越、冲动、想的事情太多、对外界特别敏感较为常见,在躁狂背景上,自伤、自责、自卑较为常见。结论:相反症状组合在一起,可能会因为相互修饰出现新的症状,而不是两个相反症状的简单组合。

考虑需求响应的交直流混合配电网分布式光伏承载能力鲁棒评估方法

鲁棒优化通常采用多面体模型来描述分布式光伏出力的不确定性,却忽略了分布式光伏出力的时空相关性,为此,该文建立了分布式光伏的时空相关性多面体模型,提出了考虑需求侧响应的交直流混合配电网分布式光伏承载能力鲁棒评估方法。首先,建立分布式光伏出力不确定性的时空相关性多面体模型和电价激励型需求侧响应模型,以最大化分布式光伏并网容量为目标,考虑交直流混合配电网中多种运行约束和调节策略,建立交直流混合配电网分布式光伏承载能力两阶段鲁棒评估模型,并采用列与约束生成算法进行迭代求解。在70节点系统上验证了算法的有效性,仿真结果表明:不同的管理策略有助于提升交直流混合配电网的分布式光伏承载能力。

考虑源荷不确定性的主动配网智能开关故障重构

针对源荷不确定环境下主动配网重构问题,提出了一种考虑源荷不确定性的主动配网智能开关故障重构方法。该方法采用机会约束表达了不确定负荷和分布式光伏造成的随机切负荷耐受程度,并作为惩罚项与系统运行成本合并成为故障重构策略的最小化目标,同时,将智能软开关和传统开关的动作、网络潮流以及变流器的非线性损耗表达为故障重构策略的约束条件。通过线性逼近方法,将原始重构策略模型表达为混合整数二阶锥问题,再运用基于全局一致优化的并行交替方向乘子法对重构策略进行求解。通过17和34节点配电系统展示了所提故障重构方法的应用效果。