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SOLVABILITY FOR SECOND-ORDER MULTI-POINT BOUNDARY VALUE PROBLEMS ON A HALF-LINE
基金项目:Supported by the Fundamental Research Funds for the Central Universities (2011YXL044);the NNSF of China (11101385)
摘    要: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.

关 键 词:multi-point  boundary  value  problem  Green  function  Leray-Scha¨uder  fixed  point  theorem  half-line

SOLVABILITY FOR SECOND-ORDER MULTI-POINT BOUNDARY VALUE PROBLEMS ON A HALF-LINE
Authors:Yu Duan  Hairong Lian  Xin Yu
Institution:(School of Sciences, China University of Geosciences, Beijing 100083)
Abstract: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.
Keywords:multi-point boundary value problem  Green function  Leray-Scha¨uder fixed point theorem  half-line
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