MULTIPLICITY OF POSITIVE SOLUTIONS FOR MULTIPOINT BOUNDARY VALUE PROBLEMS WITH ONE-DIMENSIONAL P-LAPLACIAN

Zhang, Youfeng,Zhang, Zhiyu,Zhang, Fengqin The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.5

In this paper, we consider the multipoint boundary value problem for the one-dimensional p-Laplacian $({\phi}_p(u'))'$(t)+q(t)f(t,u(t),u'(t))=0, t $\in$ (0, 1), subject to the boundary conditions: $u(0)=\sum\limits_{i=1}^{n-2}{\alpha}_iu({\xi}_i),\;u(1)=\sum\limits_{i=1}^{n-2}{\beta}_iu({\xi}_i)$ where $\phi_p$(s) = $|s|^{n-2}s$, p > 1, $\xi_i$ $\in$ (0, 1) with 0 < $\xi_1$ < $\xi_2$ < $\cdots$ < $\xi{n-2}$ < 1 and ${\alpha}_i,\beta_i{\in}[0,1)$, 0< $\sum{\array}{{n=2}\\{i=1}}{\alpha}_i,\sum{\array}{{n=2}\\{i=1}}{\beta}_i$<1. Using a fixed point theorem due to Bai and Ge, we study the existence of at least three positive solutions to the above boundary value problem. The important point is that the nonlinear term f explicitly involves a first-order derivative.

Multiplicity of positive solutions for multipoint boundary value problems with one-dimensional p-Laplacian

Youfeng Zhang,Zhiyu Zhang,Fengqin Zhang 한국전산응용수학회 2009 Journal of applied mathematics & informatics Vol.27 No.5

In this paper, we consider themultipoint boundary value prob- lem for the one-dimensional p-Laplacian (∅p(u'))'(t) + q(t)f(t,u(t), u'(t)) = 0, t ∈ (0, 1), subject to the boundary conditions: u(0) =<수식> , u(1) =<수식> where ∅p(s) = |s|n−2s, p > 1, ξi ∈ (0, 1) with 0 < ξ1 < ξ2 < · · · < ξn−2 < 1 and αi, βi ∈ [0, 1), 0 < <수식> ,<수식> βi < 1. Using a fixed point theoremdue to Bai and Ge, we study the existence of at least three positive solutions to the above boundary value problem. The important point is that the nonlinear term f explicitly involves a first-order derivative. In this paper, we consider themultipoint boundary value prob- lem for the one-dimensional p-Laplacian (∅p(u'))'(t) + q(t)f(t,u(t), u'(t)) = 0, t ∈ (0, 1), subject to the boundary conditions: u(0) =<수식> , u(1) =<수식> where ∅p(s) = |s|n−2s, p > 1, ξi ∈ (0, 1) with 0 < ξ1 < ξ2 < · · · < ξn−2 < 1 and αi, βi ∈ [0, 1), 0 < <수식> ,<수식> βi < 1. Using a fixed point theoremdue to Bai and Ge, we study the existence of at least three positive solutions to the above boundary value problem. The important point is that the nonlinear term f explicitly involves a first-order derivative.

Illumination correction via improved grey wolf optimizer for regularized random vector functional link network

Xiaochun Zhang,Zhiyu Zhou 한국인터넷정보학회 2023 KSII Transactions on Internet and Information Syst Vol.17 No.3

In a random vector functional link (RVFL) network, shortcomings such as local optimal stagnation and decreased convergence performance cause a reduction in the accuracy of illumination correction by only inputting the weights and biases of hidden neurons. In this study, we proposed an improved regularized random vector functional link (RRVFL) network algorithm with an optimized grey wolf optimizer (GWO). Herein, we first proposed the moth-flame optimization (MFO) algorithm to provide a set of excellent initial populations to improve the convergence rate of GWO. Thereafter, the MFO-GWO algorithm simultaneously optimized the input feature, input weight, hidden node and bias of RRVFL, thereby avoiding local optimal stagnation. Finally, the MFO-GWO-RRVFL algorithm was applied to ameliorate the performance of illumination correction of various test images. The experimental results revealed that the MFO-GWO-RRVFL algorithm was stable, compatible, and exhibited a fast convergence rate.

工程教育认证视域下新能源专业劳动教育协同育人解析

李治宇(Zhiyu Li),王文文(Wenwen Wang),张玉春(Yuchun Zhang),闫洪波(Hongbo Yan),王丽红(Lihong Wang),孙焱(Yan Sun),付鹏(Peng Fu) YIXIN 출판사 2024 Journal of Humanities and Social Sciences Vol.2 No.2

在全球能源转型与环境保护的大背景下,新能源专业的人才培养显得尤为重要。工程教育认证视角下新能源专业劳动教育协同育人模式,以储能原理与技术课程为例,提出了一个创新的教学方案。本研究围绕工程教育认证的核心要求,探索了将劳动教育融入专业学习的具体实践路径,旨在提升学生的实践能力、创新能力和社会责任感。通过实验、项目驱动学习、企业实习等方式,强化理论与实践的结合,促进学生能力的全面发展。研究结果表明,该协同育人模式能有效地提升学生的专业技能和工程素养,为新能源领域培养出更具实践经验和创新能力的高质量人才。本研究不仅对新能源专业教育具有重要的指导意义,也为其他工程专业的人才培养提供了可借鉴的经验。 In the context of global energy transformation and environmental protection, talent cultivation in the field of new energy is particularly important. A collaborative education model for labor education in the field of new energy from the perspective of engineering education professional certification, taking the Energy Storage Principles and Technology course as an example, proposes an innovative teaching plan. This study focuses on the core requirements of engineering education professional certification and explores specific practical paths for integrating labor education into professional learning, aiming to enhance students’ practical ability, innovation ability, and social responsibility. By conducting experiments, project-driven learning, and enterprise internships, we aim to strengthen the integration of theory and practice and promote the comprehensive development of student abilities. The research results indicate that this collaborative education model can effectively enhance students' professional skills and engineering literacy and cultivate high-quality talent with more practical experience and innovative abilities in the field of new energy. This study not only has important guiding significance for the education of new energy majors but also provides valuable experience for talent cultivation in other engineering majors.

产业结构调整下新能源专业人才培养与产业需求研究

李治宇(Zhiyu Li),余英(Ying Yu),闫洪波(Hongbo Yan),张玉春(Yuchun Zhang),王丽红(Lihong Wang),陈志文(Zhiwen Chen),付鹏(Peng Fu) YIXIN 출판사 2024 教育教学研究论丛 Vol.2 No.4

本文以产业结构调整为背景,分析了新能源专业人才培养与产业需求之间的互动关系,并提出了适应产业发展需求的新能源专业人才培养模式创新策略。分析发现,产业结构调整对新能源专业人才培养需求呈现出总量稳步增长、人才结构多元化、高技能与创新型人才短缺、强调实践与理论结合、跨学科与跨界人才需求显现等特点。为满足产业需求,应着重从构建科学的人才培养目标体系,建立校企深度融合的育人模式,构建灵活、开放的动态培养机制,形成持续关注产业前沿动态、深化产教融合的运行体系,以及构建严谨科学的人才培养质量评估体系和强化师资队伍专业化建设等措施,最终形成提升新能源专业人才培养质量、满足产业发展需求的有效策略。 Against the background of industrial structure adjustment, this paper analyses the interactive relationship between the training of new energy professionals and industrial demand and proposes innovative strategies for training new energy professionals to meet the needs of industrial development. The analysis reveals that industrial restructuring has led to a steadily increasing overall demand for talent in the new energy sector, accompanied by a growing need for diversified talent structures, shortages of high-skilled and innovative professionals, a strong emphasis on the integration of theoretical knowledge and practical skills, and an emergent requirement for interdisciplinary and cross-boundary talent. To address these industry demands, it is essential to focus on several measures: establishing a scientifically grounded system of talent cultivation objectives, adopting a deep integration model of school-enterprise cooperation, creating flexible and open dynamic training mechanisms, forming an operational framework that continuously monitors industrial frontiers and strengthens industry-university collaboration, building a rigorous and scientific talent quality assessment system, and reinforcing the professionalization of the faculty. These measures collectively aim to develop effective strategies that enhance the quality of talent cultivation in new energy specialties and ensure its alignment with industry requirements.

A new method of synthesis on high-quality AgGaS2 polycrystalline

Jianjun Zhang,Shifu Zhu,Beijun Zhao,Baojun Chen,Zhiyu He 한국물리학회 2010 Current Applied Physics Vol.10 No.2

High-pure, single-phase, free of voids and high mass density AgGaS2 polycrystalline was synthesized by a new method, i.e. two-temperature zone vapor-transporting together with the mechanical and melt temperature oscillation method (TVMMTOM), directly from high-purity (6 N) elements silver, gallium and sulfur with excess sulfur. The mechanism and advantages of the new method for synthesizing high-quality AgGaS2 were discussed. It is found that the polycrystalline material synthesized by the new method is superior to that synthesized by the conventional method, what is more the new method can avoid the explosion of the synthetic quartz ampoule. Adopting the modified Bridgman method an integral and crack-free AgGaS2 single crystal with diameter of 14 mm and length of 63 mm has been obtained. It was found that there was a (1 0 1) cleavage face and the four order X-ray spectrum of the {1 0 1} faces was observed. By the method of DSC analysis the melting and freezing points of the AgGaS2 single crystal were about 995 and 955 ℃. The transmission spectra of the AgGaS2 sample of 10 × 8 ×2㎣ were obtained by means of UV and IR spectrophotometer. The limiting wavelength was 470 nm and the band gap was 2.64 eV. It can be found in the infrared spectrum that the infrared transmission was above 55%from 4000 to 800 cm-1, and the infrared transmittance of the crystal is up to 63% at 10.6 lm, which is higher than that of the crystal grown using polycrystalline materials synthesized by the conventional method. The value of a in 10.6 lm was 0.267 cm-1. Above mentioned results showed that the crystal was of good quality and TVMMTOM is preferable for synthesizing high-quality AgGaS2 polycrystalline materials.

A Fuzzy Evaluation Method of Power Transformer Insulation Health State Based on Multi-weight Fusion

Li Jifang,Zhang Haiyang,Wang Zhiyue,Feng Zhen 대한전기학회 2022 Journal of Electrical Engineering & Technology Vol.17 No.4

During the evaluation of transformer insulation health state, the weight of each evaluation indicator has a signifi cant infl uence on its evaluation result. To overcome the existing problem of determining the weight of evaluation indicators by a single method, this paper proposes a comprehensive weight fuzzy evaluation method based on multi-weight fusion. Firstly, the proposed method uses principal component analysis (PCA) method to determine the objective weight of each evaluation indicator based on the measured data of the power transformer. Then years of practical experiences from industry experts are introduced to subjectively study the relative importance of the evaluation indicator’s infl uences on the insulation health states and to build the relative importance of judgment matrix of relative relationship. The subjective weight of each indicator is determined by using the analytic hierarchy process. Next, the objective weight and the subjective weight are fused by using the least square method to obtain the comprehensive weight of the evaluation indicator. And insulation health values and insulation health levels of the power transformers are obtained by using fuzzy comprehensive evaluation. Finally, example analysis and comparison are carried out by using the actual operating data of the transformer. Compared with the single principal component analysis method, the correct rate of the comprehensive weighting method of the evaluation indicator proposed in this paper is improved by 5.9%, which is 10.7% higher than that of the single analytic hierarchy process. The results verify the eff ectiveness and practicability of the method proposed in this paper. The proposed method provides a scientifi c basis for the maintenance and overhaul of the transformer. It has a very important practical signifi cance for improving the stability of the power grid and ensuring the normal and orderly progress of the national economy.

Astragalus Polysaccharides Attenuate Ovalbumin-Induced Allergic Rhinitis in Rats by Inhibiting NLRP3 Inflammasome Activation and NOD2-Mediated NF-κB Activation

Jiangtao Xu,Qiong Zhang,Zhaoxin Li,Yuhang Gao,Zhiyu Pang,Yina Wu,Geng Li,Dongyong Lu,Lijuan Zhang,Detang Li 한국식품영양과학회 2021 Journal of medicinal food Vol.24 No.1

Allergic rhinitis (AR) is an IgE-mediated chronic inflammatory disease of the allergic nasal mucosa. It has a significant effect on quality life; most patients with AR also suffer from sleep disorders, mood disorders, and deterioration in social relationships. As increasing numbers of medicinal plants show productive anti-inflammatory activity against inflammatory diseases, there is growing interest in natural medicinal plant ingredients. To this end, we selected Astragalus polysaccharides (APS) to evaluate its anti-inflammatory effect on ovalbumin-induced AR rats, and we further explored its impact on NLRP3 inflammasome activation and NOD2-mediated NF-κB activation. We found that APS can alleviate the nasal symptom of AR rats and attenuate pathological alterations. APS also reduced the inflammatory cytokine levels. APS not only inhibited the NLRP3 inflammasome activation but also inhibited NF-κB activation by decreasing NOD2 expression and blocking the phosphorylation of NF-κB (p65). In conclusion, APS can effectively improve the inflammatory symptoms of nasal mucosa in AR rats, which may be mediated by the inhibition of NLRP3 inflammasome activation and NOD2-mediated NF-κB activation. These findings indicate that APS has the potential to be used as a therapeutic agent for AR.

American ginseng significantly reduced the progression of high-fat-diet-enhanced colon carcinogenesis in Apc^Min/+ mice

Yu, Chunhao,Wen, Xiao-Dong,Zhang, Zhiyu,Zhang, Chun-Feng,Wu, Xiaohui,He, Xin,Liao, Yang,Wu, Ningning,Wang, Chong-Zhi,Du, Wei,He, Tong-Chuan,Yuan, Chun-Su The Korean Society of Ginseng 2015 Journal of Ginseng Research Vol.39 No.3

Background: Colorectal cancer (CRC) is a leading cause of death worldwide. Chronic gut inflammation is recognized as a risk factor for tumor development, including CRC. American ginseng is a very commonly used ginseng species in the West. Methods: A genetically engineered $Apc^{Min/+}$ mouse model was used in this study. We analyzed the saponin composition of American ginseng used in this project, and evaluated its effects on the progression of high-fat-diet-enhanced CRC carcinogenesis. Results: After oral ginseng administration (10-20 mg/kg/d for up to 32 wk), experimental data showed that, compared with the untreated mice, ginseng very significantly reduced tumor initiation and progression in both the small intestine (including the proximal end, middle end, and distal end) and the colon (all p < 0.01). This tumor number reduction was more obvious in those mice treated with a low dose of ginseng. The tumor multiplicity data were supported by body weight changes and gut tissue histology examinations. In addition, quantitative real-time polymerase chain reaction analysis showed that compared with the untreated group, ginseng very significantly reduced the gene expression of inflammatory cytokines, including interleukin-$1{\alpha}$ (IL-$1{\alpha}$), IL-$1{\beta}$, IL-6, tumor necrosis factor-${\alpha}$, granulocyte-colony stimulating factor, and granulocyte-macrophage colony-stimulating factor in both the small intestine and the colon (all p < 0.01). Conclusion: Further studies are needed to link our observed effects to the actions of the gut microbiome in converting the parent ginsenosides to bioactive ginseng metabolites. Our data suggest that American ginseng may have potential value in CRC chemoprevention.

Antioxidant activity and metabolic regulation of sodium salicylate on goat sperm at low temperature

Shen Wenzheng,Fu Yu,Bai Haiyu,Zhang Zhiyu,Cao Zhikun,Liu Zibo,Yang Chao,Sun Shixin,Wang Lei,Ren Chunhuan,Ling Ying-hui,Zhang Zi Jun,Cao Hongguo 아세아·태평양축산학회 2024 Animal Bioscience Vol.37 No.4

Objective: The purpose of this study was to explore the effect of sodium salicylate (SS) on semen preservation and metabolic regulation in goats. Methods: Under the condition of low temperature, SS was added to goat semen diluent to detect goat sperm motility, plasma membrane, acrosome, antioxidant capacity, mitochondrial membrane potential (MMP) and metabonomics. Results: The results show that at the 8th day of low-temperature storage, the sperm motility of the 20 μM SS group was 66.64%, and the integrity rates of the plasma membrane and acrosome were both above 60%, significantly higher than those of the other groups. The activities of catalase and superoxide dismutase in the sperm of the 20 μM SS group were significantly higher than those of the control group, the contents of reactive oxygen species and malondialdehyde were significantly lower than those in the control group, the MMP was significantly higher than that in the control group, and the contents of Ca2+ and total cholesterol were significantly higher than those in the control group. Through metabonomics analysis, there were significant metabolic differences between the control group and the 20 μM SS group. Twenty of the most significant metabolic markers were screened, mainly involving five metabolic pathways, of which nicotinic acid and nicotinamide metabolic pathways were the most significant. Conclusion: The results indicate that SS can effectively improve the low-temperature preservation quality of goat sperm.