[PDF] Top 20 Study on a kind of neutral Rayleigh equation with singularity

... where g had a singularity at the origin, i.e., lim x→+∞ g(x) = + ∞ . By applications of the limit properties of time map, the authors found that the existence of periodic solution for this equation. ... See full document

... theorem, we state and prove the existence of a positive periodic solution for (.) with at- tractive singularity. In Section , we investigate the existence result for (.) with repulsive singularity. In ... See full document

... In this paper, we study the positive periodic solutions of a kind of p-Laplacian neutral differential equation with a singularity. By applying the continuation theorem and some analytic ... See full document

... In this paper we investigate the analytical properties of systems of linear ordinary differential equations (ODEs) with unsmooth nonintegrable inhomogeneities and a time singularity of the first kind. We are ... See full document

... to Rayleigh equation or neutral Rayleigh equa- tion with singularity of repulsive ...p-Laplacian neutral Rayleigh equation works on singularity of attractive ... See full document

... of Rayleigh and p-Laplacian Rayleigh ...the study of periodic solutions for the φ -Laplacian differential equation with strong singularity is relatively ... See full document

... Some sufficient criteria to guarantee the existence of periodic solutions were obtained. However, the fourth-order p-Laplacian neutral differential equation (.), which in- cludes the p-Laplacian ... See full document

... a kind of 2n-order neutral differential equation with a singularity, where nonlinear term g(t, x) has strong singularities of attractive and repulsive type at the ... See full document

... to neutral equations ...The study on neutral differential equations is more intricate than that on ordinary delay differential ...for neutral differential equations (see [–] and the references ... See full document

... In the past years, researchers paid much attention to investigating the problem of periodic solutions for second-order equations with singularities (see [1–16]). Among those studies, the study of properties of ... See full document

... a kind of fourth-order singular Rayleigh equation with time-dependent deviating argument, where the nonlinear term g satisfies singularities of attractive and repulsive type at the origin and has ... See full document

... Singular differential equations arise in many disciplines such as physics, fluid dynamics, and ecology (see [1–6] and the references therein). In recent years, the periodic problem of second-order differential equations ... See full document

... to study equation ...the study of the existence of periodic solutions for second-order differential equations with singularities ...the study of problem of periodic solutions for some second ... See full document

... At the same time, some authors began to consider high-order neutral differential equa- tion with singularity. Recently, applying the coincidence degree theory and some analysis skills, Xin et al. [] ... See full document

... of neutral systems of various classes with time de- lays has received an ever-growing interest from many ...for neutral time delay ...of neutral equations and neutral systems is a very ba- sic ... See full document

... the neutral operator is divided into two cases |c| / 1 and |c| 1, it is natural to study the neutral differential equation separately according to these two ...the equation will then be ... See full document

... nonlinear equation for description of the nonlinear response of a gas bubble in liquid to a driving pressure field is the Rayleigh-Plesset ...the Rayleigh-Plesset equation in which the bubble ... See full document

... ... See full document

... In this paper, we study the blow-up singularity of a semilinear parabolic equation with nonlinear memory both in the reaction term and the boundary condition. We firstly establish the local ... See full document

... weak singularity (α ∈ (, )). Compared with the study of conservative equations with weak singularities, the corresponding ones of the Liénard equation with a weak singularity of repulsive ... See full document