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A new approach to practical stability of impulsive functional differential equations in terms of two measures. (English) Zbl 1162.34065

The paper considers a new approach to the practical stability theory of impulsive functional differential equations. By constructing different Lyapunov-Krasovskii functionals and using Razumikhin technique, they obtain new conditions sufficient for uniform practical (asymptotical) stability of the impulsive functional differential equations. An example has been carried out to illustrate the main results.

MSC:

34K45 Functional-differential equations with impulses
34K25 Asymptotic theory of functional-differential equations
34K20 Stability theory of functional-differential equations
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