Obafemi Awolowo University, University of Agriculture, Abeokuta
Abstract: The object of this paper is to give sufficient conditions for the existence of bounded solutions that are globally exponentially stable, periodic and almost periodic, for a certain third-order non-linear differential equation. A matrix inequality is obtained and proved to satisfy a generalized frequency domain inequality of Yacubovich through the frequency domain technique.
Keywords: Periodic solutions, almost periodic solutions, bounded solutions, exponential stability, frequency domain.
Classification (MSC2000): 34C11; 34C25, 34D20
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