Nodal solutions for a class of degenerate one dimensional BVP's
Nodal solutions for a class of degenerate one dimensional BVP's
复制标题
一类简并一维 BVP 的节点解
DOI：
10.12775/tmna.2016.087
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发表时间：
2016
影响因子：
0.7
通讯作者：
P. Rabinowitz
中科院分区：
文献类型：
--
作者：
J. López;P. Rabinowitz
在Cite{LR15}中，研究了一类退化的一维边值问题，证明了对于参数$\lambda$的取值范围，存在一个内部结点的正解和负解.人们猜想，这些结果的自然推广给出了任意指定数目的内部结点的解。这个猜想将在这里得到证实。
In \cite{LR15}, a family of degenerate one dimensional boundary value problems was studied and the existence of positive (and negative) solutions and solutions that possess one interior node was shown for a range of values of a parameter, $\lambda$. It was conjectured that there is a natural extension of these results giving solutions with any prescribed number of interior nodes. This conjecture will be established here.