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Lyapunov functions and autonomous differential equations in a Banach space

โœ Scribed by R. H. Martin


Publisher
Springer
Year
1973
Tongue
English
Weight
439 KB
Volume
7
Category
Article
ISSN
1433-0490

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A strategy for constructing Lyapunov fun
โœ C. Connell McCluskey ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 225 KB

A strategy is presented for determining if the growth of solutions to a non-autonomous linear differential equation satisfies a given bound. In the case where the given bound is negative, the approach gives a constructive method for finding a Lyapunov function and showing that the system is stable.