Infinitely Many Solutions and a Ground-State Solution for Klein-Gordon Equation Coupled with Born-Infeld Theory

In this paper, we intend to consider a kind of nonlinear Klein-Gordon equation coupled with Born-Infeld theory. By using critical point theory and the method of Nehari manifold, we obtain two existing results of infinitely many high-energy radial solutions and a ground-state solution for this kind of system, which improve and generalize some related results in the literature.

SOLUTIONS TO DISCRETE MULTIPARAMETER PERIODIC BOUNDARY VALUE PROBLEMS INVOLVING THE p-LAPLACIAN VIA CRITICAL POINT THEORY

In this paper, we consider the existence of three nontrivial solutions for a discrete non-linear multiparameter periodic problem involving the p-Laplacian. By using the similar method for the Dirichlet boundary value problems in [C. Bonanno and P. Candito, Appl. Anal., 88（4） （2009）, pp. 605-616], we construct two new strong maximum principles and obtain that the boundary value problem has three positive solutions for λ and μ in some suitable intervals. The approaches we use are the critical point theory.

TOPOLOGICAL DEGREE THEORY AND FIXED POINT THEOREMS IN PROBABILISTIC METRIC SPACES

The Leray-Schauder topological degree theory is established in the probabilistic linearnormed spaces.Based.on this theory,some fixed point theorems for mappings in theprobabilistic linear normed spaces are shown.

Stability Analysis of a Single-Degree-of Freedom Mechanical Model with Distinct Critical Points: I. Bifurcation Theory Approach

The buckling and post-buckling response of a single-degree-of-freedom mechanical model is re-examined in this work, within the context of nonlinear stability and bifurcation theory. This system has been reported in pioneer as well as in more recent literature to exhibit all kinds of distinct critical points. Its response is thoroughly discussed, the effect of all parameters involved is extensively examined, including imperfection sensitivity, and the results obtained lead to the important conclusion that the model is possibly associated with the butterfly singularity, a fact which will be validated by the contents of a companion paper, based on catastrophe theory.

FIXED POINT INDEX THEORY FOR WEAKLY INWARD MAPPINGS

In this paper we define a fixed point index theory for locally Lip., completely continuous and weakly inward mappings defined on closed convex sets in general Banach spaces where no other artificial conditions are imposed. This makes ns to deal with these kinds of mappings more easily. As obvious applications, some results in [3],[5],[7],[9],[10] are deepened and extended.

Determination of Weak Points Based on Risk Theory and Application to Transmission Network Planning

In the traditional power transmission network planning,deterministic analysis methods are widely used.In such methods,all contingencies are deemed to have the same occurrence probability,which is not reasonable.In this paper,risk assessment is introduced to the process of transmission network planning considering the probabilistic characteristics of contingencies.Risk indices are given to determine the weak points of the transmission network based on local information,such as bus risk,line overload risk,contingency severity.The indices are calculated by the optimal cost control method based on risk theory,which can help planners to quickly determine weak points in the planning and find solution to them.For simplification,only line overload violation is considered.Finally,the proposed method is validated by an IEEE-RTS test system and a real power system in China from two aspects.In the first case,the original system is evaluated by the proposed method to find the weak points,and then four planning schemes are established,among which the best scheme is selected.In the second case,four initial planning schemes are established by combining the experiences of planners,and after the evaluation by using the proposed method,the best planning scheme is improved based on the information of weak points in the initial schemes,and the risk of improved scheme is reduced from 42 531.86 MW·h per year to 4 431.26 MW·h per year.

Use of Rough Sets Theory in Point Cluster and River Network Selection

In this paper, we applied the rough sets to the point cluster and river network selection. In order to meet the requirements of rough sets, first, we structuralize and quantify the spatial information of objects by convex hull, triangulated irregular network (TIN), Voronoi diagram, etc.;second, we manually assign decisional attributes to the information table according to conditional attributes. In doing so, the spatial information and attribute information are integrated together to evaluate the importance of points and rivers by rough sets theory. Finally, we select the point cluster and the river network in a progressive manner. The experimental results show that our method is valid and effective. In comparison with previous work, our method has the advantage to adaptively consider the spatial and attribute information at the same time without any a priori knowledge.

Stability Analysis of a SDOF Mechanical Model with Distinct Critical Points: II. Catastrophe Theory Approach

In a recent publication [1], the fully nonlinear stability analysis of a Single-Degree-of Freedom (SDOF) model with distinct critical points was dealt with on the basis of bifurcation theory, and it was demonstrated that this system is associated with the butterfly singularity. The present work is the companion one, tackling the problem via the Theory of Catastrophes. After Taylor expanding the original potential energy function and introducing Padè approximants of the trigonometric expression involved, the resulting truncated potential is a universal unfolding of the original one and an extended canonical form of the butterfly catastrophe potential energy function. Results in terms of equilibrium paths, bifurcation sets and manifold hyper-surface projections fully validate the whole analysis, being in excellent agreement with the findings obtained via bifurcation theory.

DEGREE THEORY FOR MULTIVALUED (S) TYPE MAPPINGS AND FIXED POINT THEOREMS

The main purpose of this paper is devoted to generalizing the results of Browder[1,2]This paper consists of four parts. In the first part, we introduce the concepts of multivalued (S) and (S), type mappings and the concepts of the limits of multivalued (S) and (S) + type mappings. These kinds of mappings contain many monotone type mappings, such as maximal monotone mapping, bounded pseudo-monotone mapping and bounded generalized pseudo-monotone mapping, as its special cases. In the second part we define the pseudo-degree for (S) type mapping and the degree for (S)+ type mapping. These two kinds of degrees are all the generalizations of the degree defined by Browder[1,2] As applications, we utilize the degree theory presented in part 2 to study the existence of solutions for the multivalued operator equations (see part 3) and to obtain some new fixed point theorems in part 4.

Level density of odd-A nuclei at saddle point

Based on the covariant density functional theory,by employing the core–quasiparticle coupling(CQC)model,the nuclear level density of odd-A nuclei at the saddle point is achieved.The total level density is calculated via the convolution of the intrinsic level density and the collective level density.The intrinsic level densities are obtained in the finite-temperature covariant density functional theory,which takes into account the nuclear deformation and pairing self-consistently.For saddle points on the free energy surface in the(β_(2),γ)plane,the entropy and the associated intrinsic level density are compared with those of the global minima.By introducing a quasiparticle to the two neighboring even–even core nuclei,whose properties are determined by the five-dimensional collective Hamiltonian model,the collective levels of the odd-A nuclei are obtained via the CQC model.The total level densities of the^(234-240)U agree well with the available experimental data and Hilaire’s result.Furthermore,the ratio of the total level densities at the saddle points to those at the global minima and the ratio of the total level densities to the intrinsic level densities are discussed separately.

Explicit Proof of Equivalence of Two—Point Functions in the Two Formalisms of Thermal Field Theory

We give an explicit proof of equivalence of the two-point function to one-loop order in the two formalisms of thermal λ3 theory based on the expressions in the real-time formalism and indicate that the key point of completing the proof is to separate carefully the imaginary part of the zero-temperature loop integralfrom relevant expressions and this fact will certainly be very useful for examination of the equivalent problem of two formalisms of thermal field theory in other theories, including the one of the propagators for scalar bound states in an NJL model.

基于点-轴理论的东北亚旅游空间结构优化研究

东北亚涵盖朝鲜、韩国、日本、蒙古国4个国家全境和中国的东北3省与内蒙古自治区及俄罗斯的远东与西伯利亚2个联邦管理区,是世界经济的重要板块。本文根据点—轴理论从旅游资源、城市布局、自然地理环境、人口规模、交通线路与地域关系等角度探析了东北亚旅游空间结构的优化布局。结果显示:东北亚旅游空间结构优化形成“点—线—面”的布局,构建9核26心78点的三级旅游节点与4纵2横的旅游发展主轴线以及6大旅游发展组团的空间布局;东北亚旅游空间结构优化的轴线分为主轴线、辅助线和外联轴线,其中主轴线包括4纵2横;东北亚旅游空间可进一步划分为6大组团;东北亚旅游空间结构优化有利于区域经济健康持续发展。

住院患者护理行为轨迹闭环管理平台的构建与应用

护士操作行为的规范性直接关系到患者治疗效果和医疗安全。聚焦住院患者护理行为的关键节点,系统化串联护理、医疗、管理等信息系统,构建包含给药、检验和护理巡视行为轨迹追踪、外出检查行为轨迹追踪及手术转运交接行为轨迹追踪三大功能模块的住院患者护理行为轨迹闭环管理平台。应用后,提升了给药准时性,优化了夜间护理巡视方式,缩短了手术患者转运交接耗时,从而保障了患者安全。

争议点理论的司法价值、应用及其限度

起源于古希腊法庭辩论实践的争议点理论既是司法论辩制度的理论升华,也是司法技术的具体延伸。就当事人而言,找准案件争议点可以促使当事人尽快熟悉司法问题而使得法庭论辩更具有针对性;就法官而言,确定案件争议点有利于聚焦问题并找到纠纷解决的有效方法;就司法而言,争议点理论强调对具体案件核心、关键问题进行有效争辩和对话,有利于事实澄清和法律的正确适用。作为一种实践性较强的理论既需要从法理上进行审视,也需要从实践操作当中予以重点关切。从司法应用以及具体案例中分析,争议点理论忽视了观点多元的可能性,实践过程中争议点的提出缺乏强制回应力,而且由于能力差异各方对争议点的理解也会有分歧。

森林消防救援起降点选择影响因素分析

为提高森林消防救援效率,针对森林消防救援的起降点选择,提出了一种改进DEMATEL-ISM法,对其影响因素进行深入分析。首先基于扎根理论建立面向森林消防救援起降点选择的影响因素体系,然后引入模糊集理论消除DEMATEL-ISM法中专家评分的主观性,通过分析起降点选择的影响因素间因果属性和影响程度,确定关键因素,通过合理设置阈值构建多级递阶结构模型。通过案例分析,得到了影响森林消防救援的5个关键因素、3个根本因素、3个直接因素以及10个间接因素,并提出起降点选择的相关建议。该研究成果可以加快林火救援时起降点选择的决策速度,提高森林消防救援效率,为起降点的选择提供理论依据和科学参考。

生育的幸福效应——兼论其对低生育率的支撑

生育的幸福效应是理解低生育率社会中个体生育决策的一个重要维度。利用中国家庭追踪调查2010—2018年数据,考察孩子出生前后父母幸福感轨迹。研究发现,个人在主观幸福感方面对生育事件有积极的预期收益,主观幸福感在生育事件发生的当年达到顶峰,然后随着时间的推移逐渐下降。生育事件前后的主观幸福感轨迹表明,生育事件对个人的心理和生活感知有积极的促进作用,同时也证实了适应效应的存在。就业性质对生育的幸福效应具有调节作用,并且存在显著的性别差异,表明当父亲和母亲的工作允许他们有更多时间照顾孩子时,他们都会增加亲子互动和沟通并从中获得更高水平的幸福感。生育的这种幸福效应具有超经济性,并借助个人的生育决策筑成低生育率的底部。

社会信用治理模型选择:由风险预测制迈向行为积分制

模型是对实践的抽象化表达,内含实践的认知理念和价值判断。不同信用模型内含不同的信用治理理念并会产生不同的社会效果。风险预测制模型用于风险预测和秩序控制,在实际社会信用治理中产生过度收集数据、模型黑箱化、难以有效预测等问题。究其原因,在于技术设计过程未能有效反映治理需求,反而消解了人的主体性地位。社会信用治理需要从行为改变出发,迈向行为导向,转换治理范式。行为积分制模型以行为理论为支撑,通过将社区治理过程中的日常事项转化为积分激励事项,推动社区居民积极参与到社区经济、政治、社会、文化、生态等建设中,以共建推动共同治理,将共治行为转化为积分,进而实现治理成果的共享,提供了民主治理的新范式。在推动信用体系建设过程中,应更多考虑行为积分制模型的应用和推广。

基于气络学说运用芪归通络口服液联合艾灸治疗气虚血瘀型慢性疲劳综合征的临床观察

【目的】观察基于气络学说,运用芪归通络口服液(广东省第二中医院院内制剂,由黄芪、当归、三七、赤芍、牛膝、鸡血藤、丹参、地龙等中药组成)联合艾灸治疗气虚血瘀型慢性疲劳综合征(chronic fatigue syndrome,CFS)的临床疗效。【方法】采用回顾性研究方法,根据治疗方法的不同将60例气虚血瘀型CFS患者分为观察组和对照组,每组各30例。对照组给予艾条温和灸神阙穴治疗,观察组在对照组的基础上联合芪归通络口服液治疗,疗程为4周。观察2组患者治疗前后中医证候积分、疲劳量表-14(FS-14)评分、血清免疫球蛋白IgA、IgM、IgG含量及皮质醇(COR)水平的变化情况,并评价2组患者的临床疗效和安全性。【结果】(1)疗效方面,治疗4周后,观察组的总有效率为96.67%(29/30),对照组为80.00%(24/30),组间比较,观察组的临床疗效明显优于对照组(P<0.05)。(2)量表评分方面,治疗后,2组患者的中医证候积分、FS-14评分均较治疗前明显降低(P<0.01),且观察组对中医证候积分、FS-14评分的降低作用均明显优于对照组(P<0.01)。(3)实验室指标方面,治疗后,2组患者血清IgA、IgG水平以及观察组血清IgM、COR水平均较治疗前明显升高(P<0.01),且观察组对血清IgA、IgM、IgG及COR水平的升高作用均明显优于对照组(P<0.05或P<0.01)。(4)安全性方面,治疗过程中,2组患者均未发生明显不良反应。【结论】基于中医气络学说,以正虚络阻为CFS核心病机,运用补虚通络法,采用芪归通络口服液联合艾灸治疗气虚血瘀型CFS患者疗效确切,能明显缓解患者的临床症状,提高患者的免疫力水平,调节患者的神经-内分泌-免疫(NEI)网络。

基于双心理论的强心康颗粒+耳穴贴压联合西药治疗慢性心衰合并中重度焦虑临床观察

目的观察强心康颗粒+耳穴贴压联合氟哌噻吨美利曲辛片对慢性心力衰竭(以下简称“心衰”)合并中重度焦虑的疗效。方法纳入合并中重度焦虑[广泛性焦虑量表(GAD-7)测评≥10分]的慢性心衰患者72例,纽约心脏病协会(NYHA)心功能分级Ⅱ~Ⅲ级,分为观察组与对照组,各36例;两组均给予血管紧张素转化酶抑制剂(ACEI)、β受体阻滞剂等心衰基础治疗,观察组给予强心康颗粒+耳穴贴压联合氟哌噻吨美利曲辛片,对照组给予强心康颗粒。观察两组的心功能分级、6 min步行试验、N末端B型脑钠肽原(NT-proBNP)、中医证候评分、GAD-7评分。结果治疗后,两组患者的心功能分级疗效、6 min步行试验、NT-proBNP、中医证候评分、GAD-7评分等指标均较治疗前明显改善,且观察组优于对照组(P<0.05)。结论强心康颗粒+耳穴贴压联合氟哌噻吨美利曲辛片可明显提高慢性心衰合并中重度焦虑患者的临床疗效。

基于灶点理论的弧刃针疗法治疗顽固性网球肘的临床疗效

目的探讨基于灶点理论的弧刃针疗法治疗顽固性网球肘的临床疗效。方法收集64例顽固性网球肘患者,采用随机数字表法分为对照组和观察组。其中对照组32例,采用局部痛点注射治疗。观察组32例,采用弧刃针疗法治疗,每周治疗1次,均治疗2次,分别记录并比较两组患者治疗前、治疗后1、2、4及24周随访的疼痛数字评分(numberal rating scale,NRS)、肘关节功能评分(Mayo elbow perfor⁃mance score,MEPS)、肩臂手残障(disabilities of the arm,shoulder and hand,DASH)评分以及24周随访时的疾病的疗效评分(Wangxuechang diease efficacy score,WDES)。结果治疗过程中两组患者均未见不良事件发生。两组患者治疗前的NRS、MEPS及DASH差异均无统计学意义(P>0.05);治疗后各时期,两组NRS、MEPS、DASH及24周随访时的WDES较治疗前均改善,治疗1周后,两组NRS差异无统计学意义(P>0.05),治疗2、4及24周随访时的NRS观察组低于对照组;治疗后1、2、4及24周随访时,观察组DASH评分低于对照组,MEPS评分高于对照组,差异有统计学意义(P<0.05),治疗24周后随访时的WDES,观察组优于对照组,差异有统计学意义(P<0.05)。结论局部痛点注射及弧刃针灶点松解治疗顽固性网球肘早期均能缓解疼痛,改善肘关节功能,而局部痛点注射治疗后远期效果欠佳,观察组治疗效果逐渐提升。