Periodic solutions for a kind of prescribed mean curvature Liénard equation with a singularity and a deviating argument
نویسندگان
چکیده
منابع مشابه
Existence 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 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′...
متن کاملPeriodic 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 Duffing equation with two deviating arguments
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 کاملBoundedness of solutions for a class of Liénard equations with a deviating argument
Consider the Liénard equation with a deviating argument x (t)+ f (x(t))x (t)+ g1(x(t))+ g2(x(t − τ(t))) = e(t), where f, g1 and g2 are continuous functions on R = (−∞,+∞), τ (t) ≥ 0 is a bounded continuous function on R, and e(t) is a bounded continuous function on R = [0,+∞). We obtain some new sufficient conditions for all solutions and their derivatives to be bounded, which substantially ext...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2015
ISSN: 1687-1847
DOI: 10.1186/s13662-015-0474-y