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Interval oscillation criteria for self-adjoint matrix Hamiltonian systems

Published online by Cambridge University Press:  12 July 2007

Qigui Yang  and
Yun Tang
Qigui Yang
Affiliation:
Department of Mathematics, South China University of Technology, Guangzhou 510640, People's Republic of China ([email protected])
Yun Tang
Affiliation:
Department of Mathematics, Tsinghua University, Beijing 100084, People's Republic of China ([email protected])
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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
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 5 , October 2005 , pp. 1085 - 1108
Copyright
Copyright © Royal Society of Edinburgh 2005

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