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《微分方程年刊(英文版)》 2012-02
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SOLVABILITY FOR SECOND-ORDER MULTI-POINT BOUNDARY VALUE PROBLEMS ON A HALF-LINE

Yu Duan, Hairong Lian, Xin Yu (School of Sciences, China University of Geosciences, Beijing 100083)  
In this paper, we are concerned with the existence of a second-order differential equation with m-point boundary conditions on the half line. The existence results are proved by the Leray-Scha¨uder point theorem in a special Banach space. Green function plays an important role in the proof and its discussion is very interesting. The results obtained generalize those in the previous references.
【Fund】: Supported by the Fundamental Research Funds for the Central Universities (2011YXL044);; the NNSF of China (11101385)
【CateGory Index】: O175.8
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【Co-citations】
Chinese Journal Full-text Database 3 Hits
1 REN Li-shun,HU Hong-an(Department of mathematics and Information Science,Zhoukou Normal University,Henan Zhoukou 466000,China);The Existence of Multiple Positive Solutions to nOrder Nonliaear Eigenvalue Problem[J];Journal of Henan University(Natural Science);2012-01
2 CHEN Wei(Fujian Educational Institute,Fuzhou Fujian 350000,China);Three-point boundary value problem for third order differential equations which doesn't satisfy Nagumo's condition[J];Journal of Ningde Teachers College(Natural Science);2009-03
3 HUANG Liu-ling;Fujian Chuanzheng Communications College;;Boundary value problem for differential equations which doesn't satisfy Nagumo's condition[J];Journal of Ningde Normal University(Natural Science);2013-04
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