On Stability Criteria of Third-Order Autonomous Nonlinear Differential Equations with Quasi-Derivatives

摘要

The paper deals with ordinary 3-order nonlinear differential equations L_(3y) = f(L_(0y),L_(1y),L_(2y)) with quasi-derivatives. There is established a criterion of asymptotic stability in Liapunov sense as well as a criterion of instability in Liapunov sense. The results are illustrated by proper examples.