BOUNDEDNESS OF SINGULAR AGITATED DIFFERENTIAL EQUATION SYSTEM SOLUTIONS

Kozlov Mikhail Vladimirovich, graduate 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 article describes sufficient conditions for boundedness of solutions of singularly perturbed systems. The authors use the relationship between the solutions of the perturbed and singular systems.

singularly perturbed system, differential equations, degenerate system, boundedness of the solutions, stability.