Geodesic
Stability in Terms of Two Measures for Differential Equations with “Maxima”
Mathematics and Education in Mathematics, Tome 40 (2011) no. 1, pp. 182-186

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Stability in terms of two measures for nonlinear differential equations with “maxima” is studied. Two different measures for the initial conditions and for the solution are employed. Method of Razumikhin as well as comparison method for scalar ordinary differential equations have been employed. The usefulness of the introduced definition and the obtained sufficient conditions is illustrated through an example. *2000 Mathematics Subject Classification: 34D20.
Keywords: Stability, Two Measures, Lyapunov Functions, Differential Equations with “Maximum”, Differential Equations 
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Georgieva, Atanaska; Gluhcheva, Stela; Hristova, Snezhana. Stability in Terms of Two Measures for Differential Equations with “Maxima”. Mathematics and Education in Mathematics, Tome 40 (2011) no. 1, pp. 182-186. http://geodesic.mathdoc.fr/item/MEM_2011_40_1_a15/