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J. Korean Math. Soc. 2008; 45(5): 1361-1378
Printed September 1, 2008
Copyright © The Korean Mathematical Society.
On dichotomy and conditioning for two-point boundary value problems associated with first order matrix Lyapunov systems
M. S. N. Murty and G. Suresh Kumar
Acharya Nagarjuna University
This paper deals with the study of dichotomy and conditioning for two-point boundary value problems associated with first order matrix Lyapunov systems, with the help of Kronecker product of matrices. Further, we obtain close relationship between the stability bounds of the problem on one hand, and the growth behaviour of the fundamental matrix solution on the other hand.
Keywords: Lyapunov system, boundary value problems, Kronecker product, dichotomy, condition number
MSC numbers: 34B27, 34C10, 34D09, 65L07
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