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Structure of positive solution sets of sub-linear semi-positone operator equations |
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| Authors: | Xian Xu Donal O’Regan |
| Affiliation: | 1. Department of Mathematics, Xuzhou Normal University, Xuzhou, 221116, Jiangsu, People??s Republic of China 2. Department of Mathematics, National University of Ireland, Galway, Ireland |
| Abstract: | In this paper, first we obtain some results on the structure of the positive solution set of a nonlinear operator equation. Then using these results, we obtain some existence results for positive solutions of nonlinear operator equations. We use global bifurcation theories to show our main results. |
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