A discrete fourth-order Lidstone problem with parameters
A discrete fourth-order Lidstone problem with parameters
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DOI：
10.1016/j.amc.2009.04.034
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发表时间：
2009-08
期刊：
影响因子：
--
通讯作者：
D. Anderson;F. Minhós
中科院分区：
文献类型：
--
作者：
D. Anderson;F. Minhós
使用对称格林函数方法，给出了依赖于两个参数的非线性离散四阶 Lidstone 边值问题的非平凡解的各种存在性、多重性和不存在性结果。还给出了相关半正问题的存在性结果，从而放宽了非线性项上非负性的通常假设。
Various existence, multiplicity, and nonexistence results for nontrivial solutions to a nonlinear discrete fourth-order Lidstone boundary value problem with dependence on two parameters are given, using a symmetric Green’s function approach. An existence result is also given for a related semipositone problem, thus relaxing the usual assumption of nonnegativity on the nonlinear term.