The structure of the set of 1-node solutions of a class of degenerate BVP's
The structure of the set of 1-node solutions of a class of degenerate BVP's
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一类退化 BVP 的 1 节点解集的结构
DOI：
10.1016/j.jde.2019.10.040
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
P. Rabinowitz
中科院分区：
文献类型：
--
作者：
J. López;P. Rabinowitz
最近对一类退化 BVP 的研究 [12]、[13] 表明，单节点解集的结构有两种可能性。剩下的问题是每一种方案是否可行。本文使用一些基本相平面技术，结合从极大值原理获得的一些比较论证，构建了示例，表明每种情况确实都可能发生。
A recent study, [12], [13], of a class of degenerate BVP's showed that there were two possibilities for the structure of the set of 1-node solutions. Left open was the question of whether each one was possible. Using some elementary phase plane techniques combined with some comparison arguments obtained from the maximum principle, this paper constructs examples showing that indeed each can occur.