POSITIVE SOLUTIONS FOR SINGULAR SEMI-POSITONE NEUMANN BOUNDARY-VALUE PROBLEMS
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作者:
Sun, Yong-Ping
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机构:
Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China
Hangzhou Radio & TV Univ, Dept Fundamental Courses, Hangzhou 310012, Zhejiang, Peoples R ChinaQufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China
Sun, Yong-Ping
[1
,2
]
Sun, Yan
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机构:
Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R ChinaQufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China
Sun, Yan
[1
]
机构:
[1] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China
[2] Hangzhou Radio & TV Univ, Dept Fundamental Courses, Hangzhou 310012, Zhejiang, Peoples R China
In this paper, we study the singular semi-positone Neumann boundary-value problem [GRAPHICS] where is a positive constant. Under some suitable assumptions on the functions f and g, for sufficiently small lambda, we prove the existence of a positive solution. Our approach is based on the Krasnasel'skii fixed point theorem in cones.