arXiv Open Access 2016

Spectral analysis for differential systems with a singularity

Mikhail Ignatyev

Lihat Sumber

Abstrak

We consider the differential system $y'-x^{-1}Ay-q(x)y=ρBy $ with $n\times n$ matrices $A,B, q(x)$, where $A,B$ are constant, $B$ is diagonal, $A$ and $q(x)$ are off-diagonal, $q(\cdot)\in W^1_1[0,\infty)$. Some distinguished fundamental system of solutions is constructed. Also, we discuss the inverse scattering problem and obtain the uniqueness result.

Topik & Kata Kunci

math.SP

Penulis (1)

Mikhail Ignatyev

Format Sitasi

APA MLA BibTeX

Ignatyev, M. (2016). Spectral analysis for differential systems with a singularity. https://arxiv.org/abs/1606.01563

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2016
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓