Spectral theory of Hamiltonian systems with almost constant coefficients

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:250

Article

Behncke, Horst²  Hinton, Don¹ 

[1] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

[2] Univ Osnabruck, Fachbereich Math Informat, D-49069 Osnabruck, Germany

关键词: Hamiltonian systems;    Spectrum;    Asymptotic solutions;    Titchmarsh-Weyl functions;   

DOI  :  10.1016/j.jde.2010.10.014

来源: Elsevier

【 摘 要 】

We derive the spectral theory for general linear Hamiltonian systems. The coefficients are assumed to be asymptotically constant and satisfy certain smoothness and decay conditions. These latter constraints preclude the appearance of singular continuous spectra. The results are thus far reaching extensions of earlier theorems of the authors. Two-, three- and four-dimensional systems are studied in greater detail. The results also apply to the case of the Dirichlet index and Dirichlet spectrum. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free