Hostname: page-component-7c8c6479df-p566r Total loading time: 0 Render date: 2024-03-28T07:56:26.978Z Has data issue: false hasContentIssue false

Interval oscillation criteria for self-adjoint matrix Hamiltonian systems

Published online by Cambridge University Press:  12 July 2007

Qigui Yang
Affiliation:
Department of Mathematics, South China University of Technology, Guangzhou 510640, People's Republic of China (yangqigui@263.net)
Yun Tang
Affiliation:
Department of Mathematics, Tsinghua University, Beijing 100084, People's Republic of China (ytang@math.tsinghua.edu.cn)

Abstract

By using a monotonic functional on a suitable matrix space, some new oscillation criteria for self-adjoint matrix Hamiltonian systems are obtained. They are different from most known results in the sense that the results of this paper are based on information only for a sequence of subintervals of [t0, ∞), rather than for the whole half-line. We develop new criteria for oscillations involving monotonic functionals instead of positive linear functionals or the largest eigenvalue. The results are new, even for the particular case of self-adjoint second-differential systems which can be applied to extreme cases such as

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)