On the Asymptotic Stability of Linear Volterra Difference Equations of Convolution Type
Journal of Difference Equations and Applications, Vol: 13, Issue: 12, Page: 1079-1084
2007
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- Usage578
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- Abstract Views63
Blog Post Description
We show that the condition |a| + |∑+∞l=0bl| < 1 is not necessary, though sufficient, for the asymptotic stability of xn+1 = axn + ∑+∞l=0bn-lxl. We prove the existence of a class of Volterra difference equations (VDEs) that violate this condition but whose zero solutions are asymptotically stable.
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