Accurate solution estimates for vector difference equations
Accurate estimates for the norms of the solutions of a vector difference equation are derived. They give us stability conditions and bounds for the region of attraction of the stationary solution. Our approach is based on estimates for the powers of a constant matrix. We also discuss applications of...
Main Author: | |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2003-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S016117120321022X |
Summary: | Accurate estimates for the norms of the solutions of a
vector difference equation are derived. They give us
stability conditions and bounds for the region of
attraction of the stationary solution. Our approach
is based on estimates for the powers of a constant matrix.
We also discuss applications of our main results to
partial reaction-diffusion difference equations and to a
Volterra difference equation. |
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ISSN: | 0161-1712 1687-0425 |