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Nontrivial solutions for higher-order m-point boundary value problem with a sign-changing nonlinear term |
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| Authors: | Lishan Liu Bingmei Liu Yonghong Wu |
| Institution: | a School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, People’s Republic of China b Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA6845, Australia c College of Sciences, China University of Mining and Technology, Xuzhou 221116, Jiangsu, People’s Republic of China |
| Abstract: | This paper studies the existence of nontrivial solutions for a class of higher-order m-point singular boundary value problems based on the topological degree of a completely continuous field, the first eigenvalue and its corresponding eigenfunction of a special linear operator. The nonlinear term in the boundary value problems is sign-changing and may be unbounded from below. |
| Keywords: | Singular Higher-order m-point Sign-changing Eigenvalue Topological degree |
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