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ON THE OSCILLATION OF SELF-ADJOINT MATRIX HAMILTONIAN SYSTEMS

Published online by Cambridge University Press:  10 December 2003

Qigui Yang  and
Sui Sun Cheng
Qigui Yang
Affiliation:
Department of Mathematics, Tsinghua University, Beijing 100084, People’s Republic of China, and Department of Mathematics, Guangxi Normal University, Guilin 541004, China (yangqigui@263.net)
Sui Sun Cheng
Affiliation:
Department of Mathematics, Tsinghua University, Hsinchu, Taiwan 30043, China (sscheng@math.nthu.edu.tw)
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Abstract

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By means of monotone functionals and positive linear functionals defined on suitable matrix spaces as well as new generalized Riccati transformations, oscillation criteria for self-adjoint linear Hamiltonian matrix systems are obtained. Our results are generalizations and improvements of many existing results.

AMS 2000 Mathematics subject classification: Primary 34A30; 34C10

Keywords

matrix Hamiltonian systemoscillation criterionmonotone functionalpositive linear functional
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 46 , Issue 3 , October 2003 , pp. 609 - 625
Copyright
Copyright © Edinburgh Mathematical Society 2003