On existence of positive periodic solutions of a kind of Rayleigh equation with a deviating argument
نویسندگان
چکیده
منابع مشابه
Periodic solutions for a kind of Rayleigh equation with a deviating argument
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).
متن کاملExistence and uniqueness of periodic solutions for a kind of Liénard equation with a deviating argument
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.
متن کاملNew results on the periodic solutions for a kind of Rayleigh equation with two deviating arguments
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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We use the coincidence degree to establish new results on the existence and uniqueness of T -periodic solutions for a kind of Duffing equation with two deviating arguments of the form x ′′ + Cx(t) + g1(t, x(t− τ1(t))) + g2(t, x(t− τ2(t))) = p(t).
متن کاملPeriodic solutions for prescribed mean curvature Rayleigh equation with a deviating argument
where τ , e ∈ C(R,R) are T-periodic, and f , g ∈ C(R × R,R) are T-periodic in the first argument, T > is a constant. In recent years, there are many results on the existence of periodic solutions for various types of delay differential equation with deviating arguments, especially for the Liénard equation and Rayleigh equation (see [–]). Now as the prescribed mean curvature ( x ′(t) √ +x′...
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 2010
ISSN: 0862-7940,1572-9109
DOI: 10.1007/s10492-010-0007-7