Periodic solutions to a p-Laplacian neutral Rayleigh equation with deviating argument
نویسندگان
چکیده
منابع مشابه
Existence of periodic solutions for p-Laplacian neutral Rayleigh equation
where φp(x) = |x|p–x for x = and p > ; σ and c are given constants with |c| = ; φp() = , f () = . The conjugate exponent of p is denoted by q, i.e. p + q = . f , g , β , e, and τ are real continuous functions on R; τ , β , and e are periodic with periodic T , T > is a constant; ∫ T e(t)dt = , ∫ T β(t) = . As we know, the p-Laplace Rayleigh equation with a deviating argumen...
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where g(t,x(t)) may be unbounded as x → 0+. Equation (1.1) is of repulsive type (resp. attractive type) if g(t,x(t))→ –∞ (resp. g(t,x(t))→ +∞) as x→ 0+. Using Mawhin’s continuation theorem, the author proved that Eq. (1.1) has at least one T-periodic solution. Zhang’s work has attracted much attention of many specialists in differential equations. In 2014,Wang [2] investigated the existence of ...
متن کاملPeriodic 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.
متن کاملPeriodic solutions for p-Laplacian neutral functional differential equation with deviating arguments ✩
By using the theory of coincidence degree, we study a kind of periodic solutions to p-Laplacian neutral functional differential equation with deviating arguments such as (φp(x(t) − cx(t − σ))′)′ + g(t, x(t − τ (t)))= p(t), a result on the existence of periodic solutions is obtained. © 2006 Elsevier Inc. All rights reserved.
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).
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 2011
ISSN: 0862-7940,1572-9109
DOI: 10.1007/s10492-011-0015-2