Method of additional functions in stability theory for nonautonomous systems of differential equations
DOI:
https://doi.org/10.15407/dopovidi2014.08.020Keywords:
additional functions, nonautonomous systems, stability theoryAbstract
The method of additional functions in stability theory is expanded to nonautonomous systems. It has became possible due to a generalization of the method of invariant relations for this class of systems. The theorem of partial asymptotic stability is proved, and the illustrative example is considered.
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