ON A STABILITY CRITERION OF NON-LINEAR DIFFERENTIAL EQUATION WITH AFTEREFFECT SOLUTION

Boykov Ilya Vladimirovich, Doctor of physical and mathematical sciences, professor, head of sub-department of higher and applied mathematics, Penza State University, math@pnzgu.ru

517.91

The article introduces criterions of solution stability of differential equations with aftereffect. These criterions are valid in the regular and singular cases.

differential equations with aftereffect, criterions of stability, Banach spacer.