Existence, Uniqueness, and Stability of Oscillations in Differential Equations with Asymmetric Nonlinearities
نویسندگان
چکیده
We give conditions for the existence, uniqueness, and asymptotic stability of periodic solutions of a second-order differential equation with piecewise linear restoring and 2fl-periodic forcing where the range of the derivative of the restoring term possibly contains the square of an integer. With suitable restrictions on the restoring and forcing in the undamped case, we give a necessary and sufficient condition.
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