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EXISTENCE AND UNIQUENESS FOR SECOND-ORDER VECTOR BOUNDARY VALUE PROBLEM OF NONLINEAR SYSTEMS

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Applied Mathematics(A Journal of Chinese Universities) 2005年第3期20卷 323-330页

作者： du zengji Lin Xiaojie Ge Weigao Dept. of Math. Beijing Institute of TechnologyBeijing 100081 China. Dept. of Math. Xuzhou Normal Univ. Xuzhou 221116 China.

This paper is concerned with the following second-order vector boundary value problem ：x^R=f（t,Sx,x,x＇）,0〈t〈1,x（0）=A,g（x（1）,x＇（1））=B,where x,f,g,A and B are n-vectors. Under appropriate assumptions,exis... 详细信息

关键词： vector differential equation nonlinear boundary value problem existence and uniqueness,upper and lower solutions method.

二阶测度链上Sturm-Liouville型边值问题的多个正解存在性

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应用数学学报 2006年第1期29卷 124-130页

作者：杜增吉葛渭高北京理工大学数学系北京100081

本文讨论一类二阶测度链上Sturm-Liouville型边值问题x^△△＋，f（t，x（σ（t））=0，t∈[t1，t2]，σx（t1）-βx^△（t1）=0，γx（σ（t2））＋δx^△（σ（t2））=0，其中【t1，t2】包含T，T是测度链．在适当的条件下，通过运用Le... 详细信息

本文讨论一类二阶测度链上Sturm-Liouville型边值问题x^△△＋，f（t，x（σ（t））=0，t∈[t1，t2]，σx（t1）-βx^△（t1）=0，γx（σ（t2））＋δx^△（σ（t2））=0，其中【t1，t2】包含T，T是测度链．在适当的条件下，通过运用Leggett—Williams不动点定理，得到了三个正解的存在性．

关键词：边值问题正解测度链不动点锥

MULTIPLE SOLUTIONS TO A SECOND-ORDER m-POINT BOUNDARY VALUE PROBLEM

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Annals of Differential Equations 2011年第2期27卷 150-155页

作者： Jing Liang, Bensheng Zhao, zengji du (School of Mathematical Sciences, Xuzhou Normal University, Xuzhou 221116, Jiangsu)

In this paper, we are concerned a class of second-order m-point boundary value problem. The existence results of at least three positive solutions are given by using a fixed-point theorem and imposing growth condition... 详细信息

关键词： fixed-point theorem boundary value problem positive solutions

带有脉冲和Holling-Ⅳ型功能反应函数的中立型捕食-食饵模型的周期解

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数学物理学报（A辑） 2021年第1期41卷 178-193页

作者：蒋婷婷杜增吉江苏师范大学数学与统计学院江苏徐州221116 江苏省徐州医药高等职业学校江苏徐州221116

该文研究一类带有中立型脉冲时滞和Holling-Ⅳ型功能反应函数的捕食-食饵模型.通过运用Mawhin迭合度理论和分析技巧,得到了捕食-食饵模型正周期解存在性的充分条件.

关键词：中立型捕食-食饵模型脉冲周期解 Holling-typeⅣ型功能反应函数迭合度理论

具有扩散项的广义Nizhnik-Novikov-Veselov方程孤立波与周期波

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中国科学：数学 2022年第2期52卷 133-154页

作者：杜增吉林晓洁余姗姗江苏师范大学数学与统计学院徐州221116

本文研究具有弱向后扩散项的广义Nizhnik-Novikov-Veselov方程;通过运用动力系统方法,特别是几何奇异摄动理论和不变流形理论,得到方程孤立波解与周期波解的存在性;通过计算Abel积分的比值得到波速的单调性.同时给出了方程极限波速的上... 详细信息

本文研究具有弱向后扩散项的广义Nizhnik-Novikov-Veselov方程;通过运用动力系统方法,特别是几何奇异摄动理论和不变流形理论,得到方程孤立波解与周期波解的存在性;通过计算Abel积分的比值得到波速的单调性.同时给出了方程极限波速的上下界和周期波解的一些性质.

关键词：广义Nizhnik-Novikov-Veselov方程孤立波周期波几何奇异摄动 Abel积分

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具双参数非线性高阶椭圆型方程的奇摄动解

系统科学与数学 2013年第2期33卷 217-221页

作者：莫嘉琪林万涛杜增吉安徽师范大学数学系芜湖241003 中国科学院大气物理所大气科学和地球流体力学数值模拟国家重点实验室北京100029 江苏师范大学数学科学学院徐州221116

讨论了一类具有双参数的非线性高阶椭圆型方程边值问题.利用微分不等式理论,研究了边值问题解的存在性和渐近性态.

关键词：非线性两参数渐近解奇摄动

A Practical Regular LDPC Coded Scheme for Physical-Layer Information Security

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China Communications 2024年第5期21卷 190-201页

作者： du Junyi CETC Key Laboratory of Avionic Information System Southwest China Institute of Electronic TechnologyChengdu 610036China

In this paper,we aim to design a practical low complexity low-density parity-check(LDPC)coded scheme to build a secure open channel and protect information from *** this end,we first propose a punctured LDPC coded scheme,where the information bits in a codeword are punctured and only the parity check bits are transmitted to the *** further propose a notion of check node type distribution and derive multi-edge type extrinsic information transfer functions to estimate the security performance,instead of the well-known weak metric bit error *** optimize the check node type distribution in terms of the signal-to-noise ratio(SNR)gap and modify the progressive edge growth algorithm to design finite-length *** results show that our proposed scheme can achieve a lower computational complexity and a smaller security gap,compared to the existing scrambling and puncturing schemes.

关键词： extrinsic information transfer function physical layer scheme secure open channel security gap

Transformer and GAN-Based Super-Resolution Reconstruction Network for Medical Images

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Tsinghua Science and Technology 2024年第1期29卷 197-206页

作者： Weizhi du Shihao Tian Arts&Sciences College Washington University in St.LouisSt.LouisMO 63130USA Department of Electric and Computing Engineering Cornell UniversityIthacaNY 14850USA

Super-resolution reconstruction in medical imaging has become more demanding due to the necessity of obtaining high-quality images with minimal radiation dose,such as in low-field magnetic resonance imaging(MRI).However,image super-resolution reconstruction remains a difficult task because of the complexity and high textual requirements for diagnosis *** this paper,we offer a deep learning based strategy for reconstructing medical images from low resolutions utilizing Transformer and generative adversarial networks(T-GANs).The integrated system can extract more precise texture information and focus more on important locations through global image matching after successfully inserting Transformer into the generative adversarial network for picture ***,we weighted the combination of content loss,adversarial loss,and adversarial feature loss as the final multi-task loss function during the training of our proposed model *** comparison to established measures like peak signal-to-noise ratio(PSNR)and structural similarity index measure(SSIM),our suggested T-GAN achieves optimal performance and recovers more texture features in super-resolution reconstruction of MRI scanned images of the knees and belly.

关键词： super-resolution image reconstruction Transformer generative adversarial network(GAN)

Energy consumption simulations of rural residential buildings considering differences in energy use behavior among family members

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Building Simulation 2024年第8期17卷 1335-1358页

作者： Xi Luo Lina du School of Building Services Science and Engineering Xi'an University of Architecture and Technology(XAUAT)Xi'an 710055China State Key Laboratory of Green Building Xi'an 710055China

The“average occupant”methodology is widely used in energy consumption simulations of residential buildings;however,it fails to consider the differences in energy use behavior among family *** on a field survey on the Central Shaanxi Plain,to identify the energy use behavior patterns of typical families,a stochastic energy use behavior model considering differences in energy use behavior among family members was proposed,to improve the accuracy of energy consumption simulations of residential *** results indicated that the surveyed rural families could be classified into the following four types depending on specific energy use behavior patterns:families of one elderly couple,families of one middle-aged couple,families of one elderly couple and one child,and families of one couple and one ***,on typical summer days,the results of daily building energy consumption simulation obtained by the“average occupant”methodology were 25.39%and 28%lower than the simulation results obtained by the model proposed in this study for families of one elderly couple and families of one middle-aged couple,and 13.05%and 23.05%higher for families of one elderly couple and one child,and families of one couple and one *** typical winter days,for the four types of families,the results of daily building energy consumption simulation obtained by the“average occupant”methodology were 21.69%,10.84%,1.21%,and 8.39%lower than the simulation results obtained by the model proposed in this study,respectively.

关键词： typical energy use behavior pattern differences in occupant behavior building energy consumption simulation stochastic energy use behavior simulation