The method of construction of Liapunov functionals for some equations of neutral type with arbitrary delay (or arbitrary after-effect) is proposed. This method allows us to obtain stability conditions formulated immediately in terms of the characteristics concerning the equations under consideration. Equations of second and third order, non-linear systems and predator-prey systems are considered in detail as examples.
About stability of some functional differential equations of neutral type
VERMIGLIO, Rossana
1995-01-01
Abstract
The method of construction of Liapunov functionals for some equations of neutral type with arbitrary delay (or arbitrary after-effect) is proposed. This method allows us to obtain stability conditions formulated immediately in terms of the characteristics concerning the equations under consideration. Equations of second and third order, non-linear systems and predator-prey systems are considered in detail as examples.File in questo prodotto:
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