SOLVABILITY FOR SECOND-ORDER MULTI-POINT BOUNDARY VALUE PROBLEMS ON A HALF-LINE |
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基金项目: | Supported by the Fundamental Research Funds for the Central Universities (2011YXL044);the NNSF of China (11101385) |
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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.
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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 |
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Authors: | Yu Duan Hairong Lian Xin Yu |
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Institution: | (School of Sciences, China University of Geosciences, Beijing 100083) |
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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. |
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Keywords: | multi-point boundary value problem Green function Leray-Scha¨uder fixed point theorem half-line |
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