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Construction of Lyapunov functionals for linear Volterra integrodifferential equations and stability of delay systems. (English) Zbl 0971.34064

Summary: Inspired by the construction of a new Lyapunov functional for linear Volterra integrodifferential equations, the author proves some general stability theorems for functional-differential equations with infinite delay and weakens the usual requirement for positive definiteness of Lyapunov functionals involved in stability theory.

MSC:

34K20 Stability theory of functional-differential equations
45J05 Integro-ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
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