In this article, we determine the trajectories of maximum deviation, and the closed trajectories of maximum deviation for nonlinear differential equations of the form
where the coefficients and the right-hand side are piecewise continuous functions in and continuous in . Also we find necessary and sufficient conditions for the boundedness of all the trajectories.
Submitted April 15, 2011. Published October 13, 2011.
Math Subject Classifications: 34C05, 70K05.
Key Words: Ordinary differential equations; phase plane analysis; limit cycles; maximum deviation trajectories.
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| Henry González |
Faculty of Light Industry and Environmental Protection Engineering
1034 Budapest, Bécsi út 96/B, Hungary
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