Geodesic
Stability of solutions of nonlinear systems with unbounded perturbations
Matematičeskie zametki, Tome 63 (1998) no. 1, pp. 3-8

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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. 
@article{MZM_1998_63_1_a0,
     author = {A. Yu. Aleksandrov},
     title = {Stability of solutions of nonlinear systems with unbounded perturbations},
     journal = {Matemati\v{c}eskie zametki},
     pages = {3--8},
     publisher = {mathdoc},
     volume = {63},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_1_a0/}
}
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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/