Henry Gonzalez
Abstract:
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 Obuda University 1034 Budapest, Bécsi út 96/B, Hungary email: gonzalez.henry@rkk.uni-obuda.hu |
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