John R. Graef & Janos Karsai
In this paper, we consider the impulsive second order system
where . In a previous paper, the authors proved that if is strictly nonlinear, then this system has infinitely many periodic solutions. The impulses account for the main differences in the attractivity properties of the zero solution. Here, we prove that these periodic solutions are attractive in some sense, and we give good estimates for the attractivity region.
Published November 12, 1998.
Mathematics Subject Classifications: 34D05, 34D20, 34C15.
Key words and phrases: Asymptotic stability, attractrivity of periodic solutions, impulsive systems, nonlinear equations, second order systems.
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Department of Medical Informatics, Albert Szent-Gyorgyi Medical University
Szeged, Koranyi fasor 9, Hungary
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