Geodesic
Lyapunov Functions in Justification Theorems for Asymptotics
Matematičeskie zametki, Tome 98 (2015) no. 5, pp. 695-709

Voir la notice de l'article provenant de la source Math-Net.Ru

A formal asymptotic solution is considered for a nonlinear system of ordinary differential equations in a neighborhood of a singular point. The problem of existence of an exact solution with such an asymptotics and the problem of stability of this solution are solved. The main tool in these studies is the Lyapunov function for a system linearized on a formal solution.
Keywords: ordinary differential equations, asymptotic solution, singular point, Lyapunov function, dynamical system.
Mots-clés : exact solution 
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     author = {L. A. Kalyakin},
     title = {Lyapunov {Functions} in {Justification} {Theorems} for {Asymptotics}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {695--709},
     publisher = {mathdoc},
     volume = {98},
     number = {5},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_98_5_a4/}
}
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L. A. Kalyakin. Lyapunov Functions in Justification Theorems for Asymptotics. Matematičeskie zametki, Tome 98 (2015) no. 5, pp. 695-709. http://geodesic.mathdoc.fr/item/MZM_2015_98_5_a4/