Xinguang Zhang

Yantai University

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Co-Authors

Yonghong Wu

Curtin University

Lishan Liu

Qufu Normal University

Benchawan Wiwatanapataphee

Curtin University

Yujun Cui

Shandong University of Science and Technology

Peng Chen

Yantai University

Jiqiang Jiang

Qufu Normal University

Jianer Yu

Shanghai University of Traditional Chinese Medicine

Jing Wu

Southwestern University of Finance and Economics

Lishuang Li

Dalian University of Technology

Diyi Chen

Northwest A&F University

Cooperative Institutions

Sichuan University

Central South University

Chinese Academy of Sciences

South China University of Technology

Shanghai Jiao Tong University

Huazhong University of Science and Technology

Shanghai University of Traditional Chinese Medicine

University of Macau

Xiamen University

Qingdao University

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The iterative properties of solutions for a singular k-Hessian system

Nonlinear Analysis Modelling and Control (2023)

Xinguang Zhang Peng Chen Yonghong Wu Benchawan Wiwatanapataphee

In this paper, we focus on the uniqueness and iterative properties of solutions for a singular k-Hessian system involving coupled nonlinear terms with different properties. Unlike the existing work, instead of directly dealing with the system, we use a coupled technique to transfer the Hessian system to an integral equation, and then by introducing an iterative technique, the iterative properties of solution are derived including the uniqueness of solution, iterative sequence, the error estimation and the convergence rate as well as entire asymptotic behaviour.

Hessian matrix

Hessian equation

Sequence (biology)

10.15388/namc.2024.24.33824

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Existence of Positive Solutions for a Singular Hessian Equation with a Negative Augmented Term

Qualitative Theory of Dynamical Systems (2024)

Xinguang Zhang Peng Chen Yonghong Wu Benchawan Wiwatanapataphee

Abstract In this paper, we focus on the existence of positive solutions for a singular Hessian equation with a negative augmented term. By finding more appropriate upper and lower solutions, we not only overcome the difficulty due to the negative augmented term but also remove a critical condition required in the existing work and establish new results for the existence of positive solutions of the equations under study. Our results improve and complement many existing works.

Hessian matrix

Complement

Hessian equation

10.1007/s12346-023-00943-4

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Citations (2)

On the Disadvantage of County Administration in Ancient China

Journal of Lincang Teachers' College (2007)

Xinguang Zhang

In ancient China,a county could reign over a piece of land with thousands of families,and it was reasonable at that time.The county was subjected to the impact from different political force.Due to the distance away from the central government,the county became a big headache,because there were many loopholes,hidden troubles in the system,in which local governors could exploit farmers directly and spoil the whole society severely.

Reign

Disadvantage

County government

History of China

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Villages and Towns Administration System in China:Historical Vagaries and Implications

Journal of Nanjing Normal University (2007)

Xinguang Zhang

During the modern state power construction of the entire 20th century in China,4 kinds of new villages and towns administration pattern appeared: so-called villages and towns autonomy from later Qing dynasty to Republic of China,village and town grassroots regime of integrating parliament with administration that Chinese Communist Party founded,the people's commune system of integrating government administration with commune management,and the dual government pattern of countryside politics and village governance.However,during this period,the limited surplus of traditional small peasant economy can't support the huge state apparatus and modernization industrial system.As a consequesce,Chinese village and town administration system changes frequently and aimlessly.The general goal of village and town reform should be: improving the party leadership in the rural area,perfecting the villagers' autonomous system,developing the new rural cooperative economy organization and the social intermediary organization,speeding up the construction of legal service in village and town grassroots governments that adapt to socialist market economy and enhancing the rural social management and public service.

Grassroots

Peasant

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On Disadvantages of County Administration in Ancient China

Journal of Handan College (2007)

Xinguang Zhang

It was a little historically reasonable for a county in ancient China to manage thousands of households in a hundred square miles.But this kind of county administration had turned to be a most serious and abnormal social disaster with various disadvantages,which imposed a most direct and recurrent tax of great suffering on farmers,because of its remoteness from state administration center and its leadership rendered ineffectual by local political forces and recalcitrant subordinates.

Square (algebra)

Center (category theory)

History of China

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Viewing the Two Themes of Rural Reform and its Difficulties

Xinguang Zhang

China's rural reform aims at giving a new lease of life to micro foundation of rural market economy and authority of democracy in grass-roots units,and setting up rural economic system and social management system which adapt to economic development of socialist market.But owing to restriction of city and countryside dual structure and system mechanism,the countryside production-factors market lacks due development,delay establishment of market economic system constantly,900 million peasant endure double suffering of the market does not work and the government does not work to fullest extent,which cause rural society to the crisis of management.We should insist basic principle of combining advance wholly and break through together especially,deepen comprehensive reforms of rural economic system,political system,social system,culture system in an all-round way,provide system guarantee,financial resources support and motive force source for newly rural reconstruction,strengthen internal vigor of rural development constantly,and expand building of democracy at grass-roots level constantly.

Peasant

Lease

Rural management

Market system

Economic Democracy

Market mechanism

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The spectral analysis for a singular fractional differential equation with a signed measure

Applied Mathematics and Computation (2015)

Xinguang Zhang Lishan Liu Yonghong Wu Benchawan Wiwatanapataphee

Operator (biology)

Fixed-point index

Spectral Analysis

Singular value

Spectral Properties

10.1016/j.amc.2014.12.068

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Citations (97)

On well-posedness of an initial value problem for nonlinear second-order impulsive integro-differential equations of Volterra type in Banach spaces

Journal of Mathematical Analysis and Applications (2006)

Lishan Liu Yonghong Wu Xinguang Zhang

C0-semigroup

Sequence (biology)

10.1016/j.jmaa.2005.12.032

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Citations (11)

The uniqueness and iterative properties of solutions for a general Hadamard-type singular fractional turbulent flow model

Nonlinear Analysis Modelling and Control (2022)

Xinguang Zhang Pengtao Xu Yonghong Wu Benchawan Wiwatanapataphee

In this paper, we consider the iterative properties of positive solutions for a general Hadamard-type singular fractional turbulent flow model involving a nonlinear operator. By developing a double monotone iterative technique we firstly establish the uniqueness of positive solutions for the corresponding model. Then we carry out the iterative analysis for the unique solution including the iterative schemes converging to the unique solution, error estimates, convergence rate and entire asymptotic behavior. In addition, we also give an example to illuminate our results.

Sequence (biology)

10.15388/namc.2022.27.25473

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Citations (15)

The "Prussian-road" in the evolution of agriculture captalism:from reformation to revolution

Journal of Central South University(Social Science Edition) (2009)

Xinguang Zhang

The so-called Prussian-road in the evolution of agriculture captalism is to gradually transform the feudal lords economic system into the captalist Juncker host economy,and realize national reunification and rise of Germany as a result.This way of evolution had brought about double exploitation to the peasants over a long period of time,and had landed Gemany into militarism as well.After World War Ⅱ,the Juncker host economy has been thoroughly eradicated in the former East Germany through democratic land reform and socialist transformation of agriculture,thus what is achived by Prussian-road is the independece of revolution but not that of reformation.In the early 1990s,not only the integration between the socialist and captalist agriculture but also the convergence of systems of small-scale peasant economy and morden mass agriculture economy is finished after the reunification of Germany,which promoted the development of large-scaled,intensive,enterprisatioal,socializedand ecological agriculture.

Peasant

Militarism

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