Nontrivial solutions for discrete boundary value problems with multiple resonance via computations of the critical groups |
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| Authors: | Jinsheng Liu Shuli WangJianming Zhang Fuwei Zhang |
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| Affiliation: | College of Mathematics, Taiyuan University of Technology, Taiyuan, Shanxi, 030024, PR China |
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| Abstract: | In this paper, we study the existence of nontrivial solutions for a class of second-order difference equations with multiple resonance at both infinity and the origin by applying the critical point theory and Morse theory. |
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| Keywords: | Difference equations Multiple resonance Critical group Morse theory |
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