Abstract The main purpose of this article is to prove a collection of new nxea point theorems for （ws）-compact and so-called 1-set weakly contractive operators under Leray- Schauder boundary condition. We also intro...Abstract The main purpose of this article is to prove a collection of new nxea point theorems for （ws）-compact and so-called 1-set weakly contractive operators under Leray- Schauder boundary condition. We also introduce the concept of semi-closed operator at the origin and obtain a series of new fixed point theorems for such class of operators. As consequences, we get new fixed point existence for （ws）-compact （in particular nonexpansive） self mappings unbounded closed convex subset of Banach spaces. The main condition in our results is formulated in terms of axiomatic measures of weak noncompactness. Later on, we give an application to generalized Hammerstein type integral equations.展开更多
The main purpose of this paper is to prove a collection of new fixed point theorems and existence theorems for the nonlinear operator equation F（x） = αx （α≥〉 1） for so-called 1-set weakly contractive operators...The main purpose of this paper is to prove a collection of new fixed point theorems and existence theorems for the nonlinear operator equation F（x） = αx （α≥〉 1） for so-called 1-set weakly contractive operators on unbounded domains in Banach spaces. We also introduce the concept of weakly semi-closed operator at the origin and obtain a series of new fixed point theorems and the existence theorems for the nonlinear operator equation F（x） = αx （α≥1） for such class of operators. As consequences, the main results general- ize and improve the relevant results, which are obtained by O＇Regan and A. Ben Amar and M. Mnif in 1998 and 2009 respectively. In addition, we get the famous fixed point theorems of Leray-Schauder, Altman, Petryshyn and Rothe type in the case of weakly sequentially continuous, 1-set weakly contractive （μ-nonexpansive） and weakly semi-closed operators at the origin and their generalizations. The main condition in our results is formulated in terms of axiomatic measures of weak compactness.展开更多
In this work, using an analogue of Sadovskii＇s fixed point result and several important inequalities we investigate and give new existence theorems for the nonlinear operator equation F（x） =μx, （μ≥1） for some...In this work, using an analogue of Sadovskii＇s fixed point result and several important inequalities we investigate and give new existence theorems for the nonlinear operator equation F（x） =μx, （μ≥1） for some weakly sequentially continuous, weakly condensing and weakly 1-set weakly contractive operators with different boundary conditions. Correspondingly, we can obtain some applicable fixed point theorems of Leray-Schauder, Altman and Furi-Pera types in the weak topology setting which generalize and improve the corresponding results of [3,15,16].展开更多
In this paper we prove Leray-Schauder and Furi-Pera types fixed point theorems for a class of multi-valued mappings with weakly sequentially closed graph. Our results improve and extend previous results for weakly seq...In this paper we prove Leray-Schauder and Furi-Pera types fixed point theorems for a class of multi-valued mappings with weakly sequentially closed graph. Our results improve and extend previous results for weakly sequentially closed maps and are very important in applications, mainly for the investigating of boundary value problems on noncompact intervals.展开更多
The current–phase relations of a ring-trapped Bose–Einstein condensate interrupted by a rotating rectangular barrier are extensively investigated with an analytical solution. A current–phase diagram, single and mul...The current–phase relations of a ring-trapped Bose–Einstein condensate interrupted by a rotating rectangular barrier are extensively investigated with an analytical solution. A current–phase diagram, single and multi-valued relation, is presented with a rescaled barrier height and width. Our results show that the finite size makes the current–phase relation deviate a little bit from the cosine form for the soliton solution in the limit of a vanishing barrier, and the periodic boundary condition selects only the plane wave solution in the case of high barrier. The reason for multi-valued current–phase relation is given by investigating the behavior of soliton solution.展开更多
The dynamics of the weak non//near matter sofitary waves in a spin-1 condensates with harmonic external potential are investigated analytically by a perturbation method. It is shown that, in the small amplitude limit,...The dynamics of the weak non//near matter sofitary waves in a spin-1 condensates with harmonic external potential are investigated analytically by a perturbation method. It is shown that, in the small amplitude limit, the dynamics of the solitary waves are governed by a variable-coetficient Korteweg-de Vries （KdV） equation. The reduction to the （KdV） equation may be useful to understand the dynamics of nonlinear matter waves in spinor BECs. The analytical expressions for the evolution of soliton show that the small-amplitude vector solitons of the mixed types perform harmonic oscillations in the presence of the trap. Furthermore, the emitted radiation profiles and the soliton oscillation frequency are also obtained.展开更多
传统电压控制区域(Voltage Control Area,VCA)划分中,先进行负荷节点分区,后利用灵敏度方法实现人工PV节点归并的过程较为繁复,为此文中提出了一种包含无功源节点的快速VCA划分方法。该方法通过节点类型转变的思想,在传统负荷节点的灵...传统电压控制区域(Voltage Control Area,VCA)划分中,先进行负荷节点分区,后利用灵敏度方法实现人工PV节点归并的过程较为繁复,为此文中提出了一种包含无功源节点的快速VCA划分方法。该方法通过节点类型转变的思想,在传统负荷节点的灵敏度矩阵中加入无功源节点的灵敏度元素,从而构建全维灵敏度矩阵;在考虑雅可比子矩阵中功率和电压弱耦合关系的基础上,对传统灵敏度矩阵结构进行修改,更准确地体现了节点之间电气联系的紧密程度,增强了分区结果的合理性;通过凝聚的层次聚类方法得到了包含无功源节点的全网分区结果。文中所提新方法简化了分区的计算步骤,在实现无功源节点与负荷节点同步分区的同时优化了传统PV节点的归并过程。通过对IEEE9节点、IEEE39节点系统的仿真实验,佐证了所提分区方法的有效性。展开更多
直流闭锁等扰动引起的送端电网过电压,已成为限制直流输送能力和新能源消纳的主要约束。基于±800 k V扎鲁特—青洲(简称鲁固)特高压直流弱送端电网,结合扎鲁特换流站调相机工程和东北电网系统保护建设,提出了协调换流站滤波器(电容...直流闭锁等扰动引起的送端电网过电压,已成为限制直流输送能力和新能源消纳的主要约束。基于±800 k V扎鲁特—青洲(简称鲁固)特高压直流弱送端电网,结合扎鲁特换流站调相机工程和东北电网系统保护建设,提出了协调换流站滤波器(电容器)、调相机及换流站近区同步机组的过电压抑制策略。一方面,电网稳态运行时,充分利用换流站及其近区调相机和同步机组补偿阀组消耗无功,减少滤波器(电容器)的投入量,从而降低直流闭锁滤波器(电容器)滞后切除引起的暂态过电压。另一方面,调相机和同步机组无功输出增大,为抑制直流闭锁潮流大规模回退引起的稳态过电压提供了充足的回降无功备用。最后基于鲁固特高压直流送端电网验证了策略的有效性。展开更多
The paper presents CFD results for the transonic flow of dry and moist air through a diffuser and a compressor rotor.In both test geometries,i.e.the Sajben transonic diffuser and the NASA Rotor 37,the air humidity imp...The paper presents CFD results for the transonic flow of dry and moist air through a diffuser and a compressor rotor.In both test geometries,i.e.the Sajben transonic diffuser and the NASA Rotor 37,the air humidity impact on the structure of flows with weak shock waves was examined.The CFD simulations were performed by means of an in-house CFD code,which was the RANS-based modelling approach to compressible flow solutions.It is shown that at high values of relative humidity,above 70%,the modelling of the transonic flow field with weak shock waves by means of the dry air model may produce wrong results.展开更多
文摘Abstract The main purpose of this article is to prove a collection of new nxea point theorems for （ws）-compact and so-called 1-set weakly contractive operators under Leray- Schauder boundary condition. We also introduce the concept of semi-closed operator at the origin and obtain a series of new fixed point theorems for such class of operators. As consequences, we get new fixed point existence for （ws）-compact （in particular nonexpansive） self mappings unbounded closed convex subset of Banach spaces. The main condition in our results is formulated in terms of axiomatic measures of weak noncompactness. Later on, we give an application to generalized Hammerstein type integral equations.
基金Supported in part by the Foundation of Hanshan Normal University, China
文摘The main purpose of this paper is to prove a collection of new fixed point theorems and existence theorems for the nonlinear operator equation F（x） = αx （α≥〉 1） for so-called 1-set weakly contractive operators on unbounded domains in Banach spaces. We also introduce the concept of weakly semi-closed operator at the origin and obtain a series of new fixed point theorems and the existence theorems for the nonlinear operator equation F（x） = αx （α≥1） for such class of operators. As consequences, the main results general- ize and improve the relevant results, which are obtained by O＇Regan and A. Ben Amar and M. Mnif in 1998 and 2009 respectively. In addition, we get the famous fixed point theorems of Leray-Schauder, Altman, Petryshyn and Rothe type in the case of weakly sequentially continuous, 1-set weakly contractive （μ-nonexpansive） and weakly semi-closed operators at the origin and their generalizations. The main condition in our results is formulated in terms of axiomatic measures of weak compactness.
基金supported by Doctoral Initial Foundation of Hanshan Normal University, China (No. QD20110920)
文摘In this work, using an analogue of Sadovskii＇s fixed point result and several important inequalities we investigate and give new existence theorems for the nonlinear operator equation F（x） =μx, （μ≥1） for some weakly sequentially continuous, weakly condensing and weakly 1-set weakly contractive operators with different boundary conditions. Correspondingly, we can obtain some applicable fixed point theorems of Leray-Schauder, Altman and Furi-Pera types in the weak topology setting which generalize and improve the corresponding results of [3,15,16].
文摘In this paper we prove Leray-Schauder and Furi-Pera types fixed point theorems for a class of multi-valued mappings with weakly sequentially closed graph. Our results improve and extend previous results for weakly sequentially closed maps and are very important in applications, mainly for the investigating of boundary value problems on noncompact intervals.
基金Project supported by the National Natural Science Foundation of China(Grant No.11874247)the National Key Research and Development Program of China(Grant Nos.2017YFA0304500 and 2017YFA0304203)+1 种基金PCSIRT,China(Grant No.IRT-17R70)the Program of State Key Laboratory of Quantum Optics and Quantum Optics Devices,China(Grant No.KF201703)
文摘The current–phase relations of a ring-trapped Bose–Einstein condensate interrupted by a rotating rectangular barrier are extensively investigated with an analytical solution. A current–phase diagram, single and multi-valued relation, is presented with a rescaled barrier height and width. Our results show that the finite size makes the current–phase relation deviate a little bit from the cosine form for the soliton solution in the limit of a vanishing barrier, and the periodic boundary condition selects only the plane wave solution in the case of high barrier. The reason for multi-valued current–phase relation is given by investigating the behavior of soliton solution.
基金Supported by the National Natural Science Foundation of China under Grant Nos.10774120 and 10975114the Natural Science Foundation of Gansu Province under Grant No.1010RJZA012Natural Science Foundation of Northwest Normal University under Grant No.NWNU-KJCXGC-03-48
文摘The dynamics of the weak non//near matter sofitary waves in a spin-1 condensates with harmonic external potential are investigated analytically by a perturbation method. It is shown that, in the small amplitude limit, the dynamics of the solitary waves are governed by a variable-coetficient Korteweg-de Vries （KdV） equation. The reduction to the （KdV） equation may be useful to understand the dynamics of nonlinear matter waves in spinor BECs. The analytical expressions for the evolution of soliton show that the small-amplitude vector solitons of the mixed types perform harmonic oscillations in the presence of the trap. Furthermore, the emitted radiation profiles and the soliton oscillation frequency are also obtained.
文摘传统电压控制区域(Voltage Control Area,VCA)划分中,先进行负荷节点分区,后利用灵敏度方法实现人工PV节点归并的过程较为繁复,为此文中提出了一种包含无功源节点的快速VCA划分方法。该方法通过节点类型转变的思想,在传统负荷节点的灵敏度矩阵中加入无功源节点的灵敏度元素,从而构建全维灵敏度矩阵;在考虑雅可比子矩阵中功率和电压弱耦合关系的基础上,对传统灵敏度矩阵结构进行修改,更准确地体现了节点之间电气联系的紧密程度,增强了分区结果的合理性;通过凝聚的层次聚类方法得到了包含无功源节点的全网分区结果。文中所提新方法简化了分区的计算步骤,在实现无功源节点与负荷节点同步分区的同时优化了传统PV节点的归并过程。通过对IEEE9节点、IEEE39节点系统的仿真实验,佐证了所提分区方法的有效性。
文摘直流闭锁等扰动引起的送端电网过电压,已成为限制直流输送能力和新能源消纳的主要约束。基于±800 k V扎鲁特—青洲(简称鲁固)特高压直流弱送端电网,结合扎鲁特换流站调相机工程和东北电网系统保护建设,提出了协调换流站滤波器(电容器)、调相机及换流站近区同步机组的过电压抑制策略。一方面,电网稳态运行时,充分利用换流站及其近区调相机和同步机组补偿阀组消耗无功,减少滤波器(电容器)的投入量,从而降低直流闭锁滤波器(电容器)滞后切除引起的暂态过电压。另一方面,调相机和同步机组无功输出增大,为抑制直流闭锁潮流大规模回退引起的稳态过电压提供了充足的回降无功备用。最后基于鲁固特高压直流送端电网验证了策略的有效性。
基金supported by Statutory Research Funds of the Silesian University of Technology。
文摘The paper presents CFD results for the transonic flow of dry and moist air through a diffuser and a compressor rotor.In both test geometries,i.e.the Sajben transonic diffuser and the NASA Rotor 37,the air humidity impact on the structure of flows with weak shock waves was examined.The CFD simulations were performed by means of an in-house CFD code,which was the RANS-based modelling approach to compressible flow solutions.It is shown that at high values of relative humidity,above 70%,the modelling of the transonic flow field with weak shock waves by means of the dry air model may produce wrong results.
