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A note on the monotonicity of the Maslov-type index of linear Hamiltonian systems with applications

Published online by Cambridge University Press:  12 July 2007

Chun-Gen Liu
Chun-Gen Liu
Affiliation:
School of Mathematics and LMMC, Nankai University, Tianjin 300071, People's Republic of China (liucgnankai@edu.cn)
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Abstract

In this note, we first consider the monotonicity of the Maslov-type index theory. More precisely, for any two 1-periodic symmetric continuous matrix functions B0(t) and B1(t) with B0(t) < B1(t), we consider the relations between the Maslov-type indices (i(B0), ν (B0)) and (i(B1), ν (B1)). We then apply this theory to study the existence and multiplicity of some kinds of asymptotically linear Hamiltonian systems

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 6 , December 2005 , pp. 1263 - 1277
Copyright
Copyright © Royal Society of Edinburgh 2005

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