Asymptotical stability of partial difference equations with variable coefficients |
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Authors: | F.G. Boese |
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Affiliation: | Max-Planck-Institut für extraterrestrische Physik, Postfach 1312, D-85741 Garching, Germany |
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Abstract: | The dynamical systems considered have scalar state, are multivariate, linear, time-discrete, and time-variable and are described by an initial value problem for a class of evolutionary partial difference equations. The time set is the nonnegative part of the integer lattice in several dimensions. Parts of the asymptotical stability set in the parameter space spanned by the time-variable coefficients are explicitly found. To assess the quality of the sufficient stability criteria, a comparison with the exact stability set is made in an example. |
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Keywords: | Partial difference equations Ordinary difference equations Dynamical systems Asymptotical stability |
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