AN APPROACH TO SOLUTION STABILITY RESEARCH
OF DIFFERENTIAL EQUATION SINGULAR AGITATED SYSTEMS

Kozlov Mikhail Vladimirovich, Undergraduate student, Mordovia State University named after N.P.Ogaryov (Saransk), mhl1988@yandex.ru
Shchennikov Vladimir Nikolayevich, Doctor of physical and mathematical sciences, professor, head of sub-department of differential equations, Mordovia State University named after N. P. Ogaryov (Saransk), mhl1988@yandex.ru

517.928.4

The authors suggest an approach to studying the stability of zero solution of singularly perturbed systems of differential equations. As it is in most studies on this topic, the starting point lies in investigating the corresponding degenerate system. The researchers have found sufficient conditions zero solution stability for all sufficiently small positive values.

singularly perturbed system of differential equations, degenerate system, stability, stable variables.