Partial inverse nodal problems for differential pencils on a star‐shaped graph

淡江大學機構典藏 > 理學院 > 應用數學與數據科學學系 > 期刊論文 > Item 987654321/120701

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题名:	Partial inverse nodal problems for differential pencils on a star‐shaped graph
作者:	Wang, Yu Ping;Shieh, Chung‐Tsun;Wei, Xianbiao
关键词:	inverse nodal problem;differential pencil;potential;star-shaped graph;twin-dense
日期:	2020-06-07
上传时间:	2021-05-04 12:11:40 (UTC+8)
出版者:	Wiley
摘要:	In this paper, the authors study partial inverse nodal problems for differential pencils on a star-shaped graph. We firstly show that the potential on each edge can be uniquely determined by twin-dense nodal subsets on some interior intervals under certain conditions. Without any nodal information on some potential on the fixed edge, we may add some spectral information to guarantee these uniqueness theorems. We still consider the case of arbitrary intervals having the internal vertex. In particular, we pose and solve a new partial inverse nodal problem for differential pencils on the star-shaped graph from the Weyl m-function and the theory concerning densities of zeros of entire functions.
關聯:	Mathematical Methods in the Applied Sciences 43(15), p.8841-8855
DOI:	10.1002/mma.6574
显示于类别:	[應用數學與數據科學學系] 期刊論文

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