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| Existence of Positive Solutions for a NonlinearSecond Order Periodic Boundary Value Problem |
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| KeyWord:Positive solutions First positive eigenvalue Green’s function Topological degree |
| Author Name | Affiliation | | Ping Liu | School of Mathematics and Statistics Science, Ludong University, Yantai,
Shandong 264025, China | | Linlin Wang | School of Mathematics and Statistics Science, Ludong University, Yantai,
Shandong 264025, China | | Aiyong Chen | School of Mathematics and Statistics Science, Ludong University, Yantai,
Shandong 264025, China |
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| Abstract: |
| By using the first eigenvalue corresponding to the relevant linear
operator and the topological degree theorem, sufficient conditions for the existence of positive solutions for a nonlinear second order periodic boundary
value problem are given. Our results improve and generalize some preliminary
works. |
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