Nonexistence and existence results for a class of fourth-order difference mixed boundary value problems

Nonexistence and existence results for a class of fourth-order difference mixed boundary value problems
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DOI:
10.1007/s12190-013-0707-8
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发表时间:
2014-06
影响因子:
2.2
通讯作者:
Xiaoqing Deng
Xiaoqing Deng
中科院分区:
数学3区
文献类型:
--
作者:
Xiaoqing Deng

文献摘要

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本文考虑了一类四阶非线性差分方程。利用临界点方法建立了混合边值问题解的存在性和不存在性的各种充分条件,并给出了一些新的结果。我们的结果成功地补充了文献中现有的结果。
In this paper, a class of fourth-order nonlinear difference equations are considered. By making use of the critical point method, we establish various sets of sufficient conditions for the nonexistence and existence of solutions for mixed boundary value problems and give some new results. Our results successfully complement the existing results in the literature.