Geodesic
Method of semidefinite Lyapunov functions for systems of nonautonomous differential equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2012), pp. 28-39

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We extend the method of semidefinite Lyapunov functions for analyzing the motion stability as applied to systems of nonautonomous differential equations. We prove basic stability theorems and illustrate them with examples.
Keywords: nonautonomous systems of differential equations, equilibrium, stability, Lyapunov function. 
@article{IVM_2012_5_a2,
     author = {B. S. Kalitin and R. Chabour},
     title = {Method of semidefinite {Lyapunov} functions for systems of nonautonomous differential equations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {28--39},
     publisher = {mathdoc},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_5_a2/}
}
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B. S. Kalitin; R. Chabour. Method of semidefinite Lyapunov functions for systems of nonautonomous differential equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2012), pp. 28-39. http://geodesic.mathdoc.fr/item/IVM_2012_5_a2/