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Fixed points and problems in stability theory for ordinary and functional differential equations. (English) Zbl 1021.34042

Some results on the asymptotic stability for ordinary and functional-differential equations are proved by using fixed-point theory.
The paper is motivated by a number of difficulties encountered in the study by means of Lyapunov’s direct method.

MSC:

34D20 Stability of solutions to ordinary differential equations
34K20 Stability theory of functional-differential equations
47H10 Fixed-point theorems
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