Existence of Periodic Solutions for a Class of Fourth-Order Difference Equation
We apply the continuation theorem of Mawhin to ensure that a fourth-order nonlinear difference equation of the form Δ4uk−2−akuαk+bkuβk=0 with periodic boundary conditions possesses at least one nontrivial positive solution, where Δuk=uk+1−uk is the forward difference operator, α>0,β>0 and α≠β,...
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Main Authors: | Jia Wei, Xiaoling Han, Fumei Ye |
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Format: | Article |
Language: | English |
Published: |
Wiley
2022-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2022/1830248 |
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