Existence and uniqueness of periodic solutions for a kind of Liénard equation with a deviating argument
نویسندگان
چکیده
In this work, we use the coincidence degree theory to establish new results on the existence and uniqueness of T -periodic solutions for a kind of Liénard equation with a deviating argument of the form x (t)+ f (x(t))x (t)+ g(t, x(t − τ(t))) = p(t). c © 2007 Elsevier Ltd. All rights reserved.
منابع مشابه
Periodic Solutions for p-Laplacian Liénard Equation with a Deviating Argument
By employing Mawhin’s continuation theorem, the existence of periodic solutions of the p-Laplacian Liénard equation with a deviating argument (φp(x′(t)))′ + f(x(t))x′(t) + g(x(t− τ(t))) = e(t) under various assumptions are obtained. Keywords—periodic solution, Mawhin’s continuation theorem, deviating argument.
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By employing Mawhin’s continuation theorem, the existence of periodic solutions of the p-Laplacian generalized Liénard equation with deviating argument (φp(x′(t)))′ + f(t, x(t))x′(t) + β(t)g(x(t− τ(t))) = e(t) under various assumptions are obtained. Keywords—periodic solution, Mawhin’s continuation theorem, deviating argument.
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عنوان ژورنال:
- Appl. Math. Lett.
دوره 21 شماره
صفحات -
تاریخ انتشار 2008