Singular Hamiltonian system with several spectral parameters

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:461

Article

Ugurlu, Ekin¹ 

[1] Cankaya Univ, Dept Math, Fac Arts & Sci, TR-06530 Ankara, Turkey

关键词: Hamiltonian system;    Multiparameter eigenvalue problem;    Weyl theory;    Tensor product;   

DOI  :  10.1016/j.jmaa.2018.01.028

来源: Elsevier

【 摘 要 】

In this paper, the Weyl-Titchmarsh theory has been constructed for the singular 2n-dimensional (even order) Hamiltonian system with several spectral parameters. In particular, we consider that the left end point of the interval is regular and the right end point of the interval is singular for the Hamiltonian system with several parameters. Using the nested circles approach, we prove that at least n-linearly independent solutions are squarly integrable with respect to some matrix functions. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free