Existence of multiple solutions to second-order discrete Neumann boundary value problems |
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| Affiliation: | School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, PR China;Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, Higher Education Institute, Guangzhou University, Guangzhou, 510006, PR China |
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| Abstract: | By using the invariant set of descending flow and variational method, we establish the existence of multiple solutions to a class of second-order discrete Neumann boundary value problems. The solutions include sign-changing solutions, positive solutions, and negative solutions. An example is given to illustrate our results. |
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| Keywords: | Difference equation Neumann boundary value problem Sign-changing solution Invariant set of descending flow |
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