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The comparison method in nonlinear analysis. (Russian) Zbl 0753.34032
Conditions for the asymptotic equivalence of the differential equations in the sense of Brauer and Levinson are established. Then these results are applied to the investigation of the stability with respect to a part of the variables.

MSC:
34D05 Asymptotic properties of solutions to ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
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