Spatial Differentiation and Influencing Factors of Poverty Alleviation Performance Under the Background of Sustainable Development:A Case Study of Contiguous Destitute Areas in Hunan Province,China

Poverty eradication is a realistic requirement for the addressing of the urban-rural development imbalance.It consolidates the achievements of the poverty alleviation,and accelerates the realization of the United Nations Sustainable Development Goals.In research that deals with poverty,qualitative analysis is often used to study the connection between a single influencing factor and poverty reduction,and to solve regional poverty through government measures.However,these studies usually ignore the multidimensional nature of poverty,and the fact that poverty alleviation also needs to be approached from multiple perspectives.By constructing a theoretical framework of poverty alleviation performance from the perspective of sustainable development,this study selects contiguous poverty-stricken areas in the Hunan Province,China as the empirical study area,constructs an evaluation index system from the three dimensions of economic development,infrastructure and people’s livelihood security,and selects influencing factors from three aspects of‘population’,‘land’and‘industry’.The spatial differentiation characteristics and influencing factors of poverty alleviation performance in poverty-stricken areas were studied by using the methods of entropy weight method and geodetector.The results show:firstly,in the concentrated and contiguous poverty-stricken areas of the Hunan Province,the performance of poverty alleviation in the economic development makes little difference,showing a‘high-medium-low’cross-distribution pattern.The poverty alleviation performance of the infrastructure presents a distribution pattern of‘low in the middle and high on both sides.The poverty alleviation performance of people’s livelihood security has significant spatial differentiation characteristics,which all present a reunion distribution.The overall poverty alleviation performance varies greatly,showing a funnel-shaped distribution in space.Secondly,the spatial differentiation of poverty alleviation performance in the concentrated and contiguous poverty-stricken areas of the Hunan Province is the result of the combined effects of multiple factors.‘Population’is the dominant factor affecting the performance of poverty alleviation,‘land’is the basic factor that causes the spatial differentiation of poverty alleviation performance,and‘industry’is the key factor for the improvement of the poverty alleviation ability.

KOROVKIN TYPE APPROXIMATION THEOREMS ON THE SPACE OF CONTINUOUSLY DIFFERENTIABLE FNCTIONS

It is studied Korovkin type approximation theorems on C(1)([0,1]) the space of continuously differentiable functions on the unit interval. It is proved that the test functions for which Korovkin type approximation theorems hold depending on norms of C(1)([0,1]).

Differentiability of Convex Functions in Locally Convex Spaces(Ⅱ)──Frechet

ＤｉｆｆｅｒｅｎｔｉａｂｉｌｉｔｙｏｆＣｏｎｖｅｘＦｕｎｃｔｉｏｎｓｉｎＬｏｃａｌｌｙＣｏｎｖｅｘＳｐａｃｅｓ（ＩＩ）──ＦｒｅｃｈｅｔＤｉｆｆｅｒｅｎｔｉａｂｉｌｉｔｙＷＵＣｏｎｇｘｉｎＷＡＮＧＸｉａｏｍｉｎＣＨＥＮＧＬｉｘｉｎ吴从ａａａｙ，王晓敏...

Space diversification process and evolution mechanism of typical village in the suburbs of Guangzhou:A case study of Beicun

The reform of global production mode and social system accelerate the process of urbanization,and the urban-rural factors accelerate rural space diversification.Based on the space production theory and game theory,this paper analyzed the space diversification process and its influence on Beicun village.The results show that:(1)In the past 30 years,the development of Beicun has experienced three stages:agricultural development,industrial development,and service industrial development.The industrial structure has changed from single to diverse.The transformation of agricultural decentralization to rural community has been realized.(2)Accompanying the rural economic development transformation,the land use type and structure of Beicun has diversified.The spatial relationship of various types of land use was complicated and gave rise to new characteristics of mixed land for commercial and residential use,and industrial and commercial use,gradually forming a circular spatial layout structure model of public service facilities,traditional residential areas and modern residential areas,commercial areas,agricultural and industrial areas.(3)Rural space diversification was mainly due to the intervention of new industries and the transformation of leading industries.The endogenous land transferring mechanism and exogenous urban capital jointly promoted the industrialization process,and the market power promoted the transformation of industry into the service industry.(4)The industrialization process promoted the functional replacement of historical buildings by village organizations.It changed the social relations of the village with the blood clan and geography oriented,and produced the occupational relation between migrant workers and urban low-income groups.(5)The multi-differentiation of suburban rural space followed the game logic of capital and land interests.The rural community played a key mediation in the competition for space and the game of interests among local villagers,farmers,economic cooperation,industrial operators,and service owners.

Solving systems of multi-term fractional PDEs:Invariant subspace approach

In the present paper,invariant subspace method has been extended for solving systems of multi-term fractional partial differential equations(FPDEs)involving both time and space fractional derivatives.Further,the method has also been employed for solving multi-term fractional PDEs in(1+n)dimensions.A diverse set of examples is solved to illustrate the method.