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      • KCI등재

        Existence, multiplicity and uniqueness results for a second order m-point boundary value problem

        Yuqiang Feng,Sanyang Liu 대한수학회 2004 대한수학회보 Vol.41 No.3

        Let f:[0,1]times [0,infty)rightarrow [0,infty) be continuousand ain C([0,1],[0,infty)),and let xi_{i}in (0,1) with0<xi_{1} <xi_{2}<cdots<xi_{m-2}<1,a_{i}, b_{i}in [0,infty)with 0<sum_{i=1}^{m-2}a_{i}<1 andsum_{i=1}^{m-2}b_{i}<1.This paper is concerned with thefollowing m-point boundary value problem: x^{''}(t)+a(t)f(t,x(t))=0, tin (0,1),x^{'}(0)=sum_{i=1}^{m-2}b_{i}x^{'}(xi_{i}),x(1)=sum_{i=1}^{m-2}a_{i}x(xi_{i}) . The existence,multiplicity and uniqueness of positive solutions of this problemarediscussed with the help of two fixed point theorems in cones, respectively.

      • SCIESCOPUSKCI등재

        EXISTENCE, MULTIPLICITY AND UNIQUENESS RESULTS FOR A SECOND ORDER M-POINT BOUNDARY VALUE PROBLEM

        Feng, Yuqiang,Liu, Sang-Yang Korean Mathematical Society 2004 대한수학회보 Vol.41 No.3

        Let : [0, 1] $\times$ [0, $\infty$) $\longrightarrow$ [0, $\infty$) be continuous and a ${\in}$ C([0, 1], [0, $\infty$)),and let ${\xi}_{i}$ $\in$ (0, 1) with 0 < {\xi}$_1$ < ${\xi}_2$ < … < ${\xi}_{m-2}$ < 1, $a_{i}$, $b_{i}$ ${\in}$ [0, $\infty$) with 0 < $\Sigma_{i=1}$ /$^{m-2}$ $a_{i}$ < 1 and $\Sigma_{i=1}$$^{m-2}$ < l. This paper is concerned with the following m-point boundary value problem: $\chi$″(t)+a(t) (t.$\chi$(t))=0,t ${\in}$(0,1), $\chi$'(0)=$\Sigma_{i=1}$ $^{m-2}$ /$b_{i}$$\chi$'(${\xi}_{i}$),$\chi$(1)=$\Sigma_{i=1}$$^{m-2}$$a_{i}$$\chi$(${\xi}_{i}$). The existence, multiplicity and uniqueness of positive solutions of this problem are discussed with the help of two fixed point theorems in cones, respectively.

      • Development of Scale of Critical Factors for China's Tourism Industry in E-commerce Environment

        Yingmei We,Runsheng Fang,Yuqiang Feng 보안공학연구지원센터 2014 International Journal of u- and e- Service, Scienc Vol.7 No.6

        Considering the tourism industry technologies in e-commerce environment and other basic conditions are perfect, but the profit is still very little. In this study, a draft questionnaire scale is designed based on critical success factors (CSF) combined with some theories and the opinions of 23 senior managers in tourism enterprise who constructed the judgment matrix introducing innovative and legalization modules. The approaches, analytic hierarchy process (AHP), group eigenvalue method (GEM) and corrected item-total correlation (CITC), are respectively used to test. After removing those bad items on the basis of comprehensive output results while comparing three test approaches, the scale is modified to finalize the formal survey questionnaire to complete the preliminary work of research on tourist industry innovation and services spiral development in e-commerce environment. The research shows that there is a big gap between the primary concern of Chinese enterprises and the sustainable tourism economy in the world.

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