Nontrivial solutions of second-order difference equations

被引：0
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作者：
Yuhua Li
机构：
[1] Shanxi University,School of Mathematical Sciences
来源：
Advances in Difference Equations | / 2013卷
关键词：
discrete boundary value problem; resonance; critical group;
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摘要：
In this paper, we investigate the nontrivial solutions to the difference equations −Δ2u(k−1)=f(k,u(k)) for all k∈Z[0,T] and subject to u(0)=0=Δu(T), and establish the existence results of a nontrivial solution under some resonant conditions.
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