Behavior of Trajectories of the Levinson-Smith Equation

Аннотация

The method of localization of invariant compact sets is used to study the properties of solutions of the Levinson-Smith equation with or without bounded disturbances. Necessary and sufficient conditions for the existence of localizing functions with a bounded universal section are obtained. Conditions for the existence of a bounded localizing set are established. The results are used to describe the solution behavior.