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Stability of difference Volterra equations: Direct Liapunov method and numerical procedure |
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| Authors: | M R CrisciV B KolmanovskiiE RussoA Vecchio |
| Abstract: | A procedure to construct Liapunov functionals for discrete Volterra equations is proposed. Using this procedure stability conditions are derived for general Volterra difference equations. Some applications of the proposed procedure for obtaining stability conditions for linear multistep methods for Volterra integro-differential equations are presented. |
| Keywords: | Volterra discrete equations Stability Liapunov functionals Multistep methods |
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