arXiv
Open Access
2008
On the oscillation properties of eigenfunctions of Sturm--Liouville problem with singular coefficients
A. A. Vladimirov
Abstrak
In the paper we consider singular spectral Sturm--Liouville problem $-(py')'+(q-λr)y=0$, $(U-1)y^{\vee}+i(U+1)y^{\wedge}=0$, where function $p\in L_{\infty}[0,1]$ is uniformly positive, generalized functions $q,r\in W_2^{-1}[0,1]$ are real-valued and unitary matrix $U\in\mathbb C^{2\times 2}$ is diagonal. The main goal is to prove that well-known (for smooth case) facts about number and distribution of zeros of eigenfunctions hold in general case.
Topik & Kata Kunci
Penulis (1)
A
A. A. Vladimirov
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2008
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓