Ambarzumyan-type theorem for third order linear measure differential equations

被引：1

作者：

Liu, Yixuan ^{[1
]}

Shi, Guoliang ^{[2
]}

Yan, Jun ^{[2
]}

机构：

[1] Civil Aviat Univ China, Sch Sci, Tianjin 300300, Peoples R China

[2] Tianjin Univ, Sch Math, Tianjin 300354, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2022年 / 63卷 / 01期

关键词：

INVERSE SPECTRAL PROBLEMS; SYSTEMS;

D O I：

10.1063/5.0064925

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper deals with the Ambarzumyan-type theorem for a complex third order linear measure differential equation idy & PRIME;& BULL;+2iqxy & PRIME;dx+yidqx+dpx=lambda ydx on [0, 1] with boundary conditions y1=0, y & PRIME;1=y & PRIME;0, and hy(0)+y & PRIME;& BULL;0=0, where p & ISIN;M(I,R), q & ISIN;M0(I,R), and h=-h. More precisely, we prove that if the eigenvalues of this boundary value problem are (2n pi)(3), n = 0, & PLUSMN;1, & PLUSMN;2, horizontal ellipsis , then h = 0 and the measure coefficients p(x) = p(0), q(x) = 0 for x & ISIN; [0, 1).

引用

页数：14

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