Stability of a linear difference equation and estimation of its fundamental solution |
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Authors: | A Yu Kulikov V V Malygina |
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Institution: | 1.Perm State Technical University,Perm,Russia |
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Abstract: | We consider a linear nonautonomous system of difference equations. Under natural restrictions we prove that the stability
with respect to the initial function and that with respect to the right-hand side in spaces of bounded and summable functions
are equivalent to the corresponding estimates for the fundamental solution. As a consequence, we obtain an effective stability
condition for a system with a constant matrix. |
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Keywords: | |
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