Periodic solutions for a kind of Rayleigh equation with a deviating argument
نویسندگان
چکیده
In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T -periodic solutions for a kind of Rayleigh equation with a deviating argument of the form x′′ + f(x′(t)) + g(t, x(t− τ(t))) = p(t).
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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.
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With the help of the continuation theorem of the coincidence degree, a priori estimates, and differential inequalities, the authors make a further investigation of a class of Rayleigh equation with two deviating arguments of the form x ′′ + f (x (t))+ g1(t, x(t − τ1(t)))+ g2(t, x(t − τ2(t))) = p(t). Some new results on the existence of T -periodic solutions for such a system are established. Ou...
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ورودعنوان ژورنال:
- Computers & Mathematics with Applications
دوره 55 شماره
صفحات -
تاریخ انتشار 2004