Geodesic
Stability of solutions of nonlinear systems with unbounded perturbations
Matematičeskie zametki, Tome 63 (1998) no. 1, pp. 3-8 
A. Yu. Aleksandrov. Stability of solutions of nonlinear systems with unbounded perturbations. Matematičeskie zametki, Tome 63 (1998) no. 1, pp. 3-8. http://geodesic.mathdoc.fr/item/MZM_1998_63_1_a0/
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     title = {Stability of solutions of nonlinear systems with unbounded perturbations},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_1_a0/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We study systems of differential equations with perturbations that are unbounded functions of time. We suggest a method for constructing Lyapunov functions to determine conditions under which the perturbations do not affect the asymptotic stability of the solutions.

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