Existence of periodic solutions for p-Laplacian neutral Rayleigh equation
نویسندگان
چکیده
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 argument τ (t) is applied in many fields such as physics, mechanics, engineering technique fields, and so on. The existence of a periodic solution for the second-order p-Laplacian Rayleigh equations with a deviating argument as follows: ( φp ( x′(t) ))′ + f (x(t))x′(t) + g(x(t – τ (t))) = e(t) (.)
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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تاریخ انتشار 2014