Periodic Solutions of Liénard Equation with One or Two Weak Singularities
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چکیده
In this paper we study the existence and asymptotic stability of periodic solutions of the differential equation ẍ+ f (x)ẋ+g(x) = h(t), where h(t) is T -periodic, f (x) is positive and g(x) is strictly monotonically increasing and has one or two weak singularities. The method of proof relies on the construction of a positively invariant region of the flux. Mathematics subject classification (2010): 34C25.
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تاریخ انتشار 2011