On the existence of positive solutions for a class of singular boundary value problems |
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| Authors: | Anmin Mao Shixia Luan |
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| Institution: | a Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, PR China
b Department of Mathematics, Qufu Normal University, Shandong 273165, PR China |
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| Abstract: | In this paper, by the use of a fixed point theorem, many new necessary and sufficient conditions for the existence of positive solutions in C0,1]∩C10,1]∩C2(0,1) or C0,1]∩C2(0,1) are presented for singular superlinear and sublinear second-order boundary value problems. Singularities at t=0, t=1 will be discussed. |
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| Keywords: | Fixed point index Second-order BVPs Cone Positive solution |
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