[PDF] Top 20 Existence of periodic solutions of a Liénard equation with a singularity of repulsive type

... 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

... a periodic solution for second ordinary differential equations with singu- larities has attracted much attention of many researchers because there are a great many applications of it from physics and mechanics (see ... See full document

... where g(x) is singular at x = 0, ϕ and h are T-periodic functions. By using the continuation theorem of Manásevich and Mawhin, a new result on the existence of positive periodic solution is obtained. ... See full document

... the existence of the periodic solutions and homoclinic solutions for the prescribed curvature mean equa- tion also attracts many authors’ ...the periodic solution for the prescribed ... See full document

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

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

... the existence of pe- riodic solutions by using topological degree ...the existence of positive periodic solutions of ...consider repulsive type and attractive ... See full document

... curvature equation and its modified forms, which arise from some problems associated with differential geometry and physics such as com- bustible gas dynamics, have been studied widely (see [–] and the references ... See full document

... the existence of positive periodic solutions for equation ...lower solutions methods used in [20, 21], and continuation theorems of coincidence degree used in ...the periodic ... See full document

... tinuation 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 ... See full document

... either equation (1.3) or the equation in problem ...the equation with nonautonomous singularity term of repulsive type [21–25], equations with nonautonomous singularity ... 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 ... See full document

... derstand a function u : [, ω] → R which is positive, absolutely continuous together with its first derivative, satisfies (.) almost everywhere on [, ω], and verifies (.). In spite of the fact that the problem (.), ... See full document

... the existence of periodic solutions for a p-Laplacian differential equa- tion was extensively studied (see [–] and the references ...differential equation; see [–]. In [], Ding et al. ... 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 techniques, some new ... See full document

... the existence of at least one periodic solution for the p-Laplacian-like system with a fixed ...differential equation, and they established some criteria to guarantee the existence of ... See full document

... the existence of a periodic solution for p-Laplacian neutral Rayleigh ...some existence results of periodic solutions to p-Laplacian neutral Rayleigh ... See full document

... the existence of infinitely many periodic solutions to planar radially symmetric systems with certain strong repulsive singularities near the origin and with some semilinear growth near ... See full document

... During this study, we will need to many of the basic concepts. Before anything, the concept of equilibrium point is essential in the study of the dynamics of any physical system. A point ω in the domain of the function Φ ... See full document

... the existence theorem from [] is used for studying the boundary value problem with the nonlinearity f depending also on the ...the existence theorems for PBVP () can be established by the shift method ... See full document