Existence of Multiple Solutions to a Discrete Fourth Order Periodic Boundary Value Problem via Variational Method
Existence of Multiple Solutions to a Discrete Fourth Order Periodic Boundary Value Problem via Variational Method
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DOI：
10.1007/s12591-018-0432-8
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发表时间：
2018-09
影响因子：
1
通讯作者：
Sougata Dhar;L. Kong
中科院分区：
文献类型：
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作者：
Sougata Dhar;L. Kong
利用变分方法和临界点理论，得到了一类广义四阶非线性差分方程具有周期边界条件的至少三个解存在的判据。讨论了上述问题的各种特殊情况。文中还包括一个示例来说明结果。
By using variational methods and critical point theory, we obtain criteria for the existence of at least three solutions for a generalized fourth order nonlinear difference equation together with periodic boundary conditions. Various special cases of the above problem are discussed. An example is included to illustrate the results.