Existence of multiple solutions to second-order discrete Neumann boundary value problems

Existence of multiple solutions to second-order discrete Neumann boundary value problems
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DOI:
10.1016/j.aml.2018.03.006
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发表时间:
2018-09
期刊:
Appl. Math. Lett.
影响因子:
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通讯作者:
Y. Long;Jiali Chen
Y. Long;Jiali Chen
中科院分区:
其他
文献类型:
--
作者:
Y. Long;Jiali Chen

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利用下降流的不变集和变分方法,证明了一类二阶离散Neumann边值问题多解的存在性。这些解包括变号解、正解和负解。最后给出一个例子来说明我们的结果。
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.