Positive periodic solution for high-order p-Laplacian neutral differential equation with singularity
نویسندگان
چکیده
منابع مشابه
Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type
In this paper, we consider a kind of p-Laplacian neutral Rayleigh equation with singularity of attractive type, [Formula: see text] By applications of an extension of Mawhin's continuation theorem, sufficient conditions for the existence of periodic solution are established.
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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 ...
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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.
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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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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2016
ISSN: 1687-2770
DOI: 10.1186/s13661-016-0545-3