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On the \(\phi_ 0\)-stability of functional differential equations. (English) Zbl 0856.34080

Some classes of functional differential equations are investigated. The cone-valued Lyapunov function method is extended for obtaining stability results for nonlinear functional differential equations. Necessary and sufficient conditions for the exponential stability of the steady state solution of a nonlinear hereditary system are obtained as well.
Reviewer: A.Slavova (Sofia)

MSC:

34K20 Stability theory of functional-differential equations
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References:

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