[PDF] Top 20 Positive periodic solution of p Laplacian Liénard type differential equation with singularity and deviating argument

... of periodic solutions for Liénard type differential equa- tions was extensively studied (see [–] and the references ...a Liénard type differential equation with ... See full document

... of positive periodic solutions for some types of differential equations with a singularity have been obtained; see [–] and the references cited ...the periodic solutions for the ... See full document

... a singularity of repulsive type at the origin and satisfies semilinear condition at x = ∞, the author proved that ...one positive T -periodic solution by using Mawhin’s continuous ...a ... See full document

... repulsive singularity or equations with time-independent deviating ...Rayleigh equation with attractive singularity works on time-dependent deviating argument? Besides practical ... See full document

... weak singularity enabled new criteria for the existence of periodic ...of positive periodic solutions of the singular systems ...of positive periodic solutions are ... See full document

... where h : R → R is continuous with T-periodic, α ∈ (, +∞) is a constant. For α ∈ [, +∞) (called the strong force condition), by using topological degree methods, they found that the necessary and sufficient ... See full document

... Generally speaking, differential equations with singularities have been considered from the very beginning of the discipline. The main reason is that singular forces are ubiquitous in applications, gravitational and ... See full document

... where f : (0, + ∞ ) → R is continuous and may have singularities at zero, r, ϕ : R → R are T-periodic functions, and μ is a positive constant. Using the method of upper and lower functions, we obtain some ... 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. [] discussed the ... See full document

... This paper is concerned with the prescribed mean curvature Liénard type p-Laplacian equation with two arguments. By employing Mawhin’s coincidence degree theorem and the analysis ... See full document

... Based on the above work, in this paper we will study (.) and obtain the existence of pe- riodic solutions by using topological degree theorem. The rest of this paper is organized as follows. In Section , we give some ... See full document

... on periodic solutions for Duffing equations with a singularity (see [1–5, 7–11] and the references cited therein), in account of its applications in applied ...a positive π-periodic solutions ... See full document

... of p-Laplacian generalized Liénard equations with singularities of attractive and repulsive type, where the nonlinear term g has a singularity at the ...repulsive type enable the ... See full document

... where g has a singularity at the origin. The novelty of the present article is that we show that attractive and repulsive singularities enable the achievement of a new existence criterion of a positive ... See full document

... of periodic solutions for Rayleigh equa- tion was extensively studied (see [2–11] and the references ...Rayleigh equation in the literature, including the method of upper and lower solutions [6], the time ... See full document

... plying Mawhin’s continuation theorem, we prove that Eq. (.) has at least one posi- tive T -periodic solution. The interest is that the conditions imposed on f , g and the ap- proaches to estimate a priori ... See full document

... of periodic solutions for a p-Laplacian differential equa- tion was extensively studied (see [–] and the references ...differential equation; see ...of periodic solutions for the ... See full document

... a positive and decreasing function which has a strong singularity at the ori- gin, and the weight h ∈ L(R/TZ) is a sign-changing ...T- periodic solution to the above equation and proved ... See full document

... of positive periodic solution for p−Laplacian differential equation with singular forces of attractive ...the periodic solutions for p−Laplacian ... See full document

... of periodic solutions for vari- ous types of delay differential equation with deviating arguments, especially for the Lié- nard equation and Rayleigh equation (see ... See full document