M. V. Kozlov, V. N. Shchennikov, “Limited solutions of systems of singularly perturbed differential equations”, University proceedings. Volga region. Physical and mathematical sciences, 2012, Issue 2,Pages <nobr>36

Mathematics

Limited solutions of systems of singularly perturbed differential equations

M. V. Kozlov, V. N. Shchennikov

Mordovia State University named after N. P. Ogaryov, Saransk

Abstract: 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.

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

UDC: 517.928.4