[PDF] Top 20 A new result on the existence of periodic solutions for Liénard equations with a singularity of repulsive type

... of periodic solutions to scalar equations with a singularity began with work of Forbat and Huaux [, ], where the singular term in the equations models the restoring force caused by a ... See full document

... the existence of positive periodic solutions to ...(weak singularity condition), some equations like ...the equations have no T -periodic ...the periodic problem ... 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 problem ... See full document

... differential equations was paid to investigating the problem of periodic solutions for second order differential equations with ...the singularity has a significant background in applied ... See full document

... function. Obviously, equation (.) and equation (.) are all singular at x = . The first- order derivative term f (x)x in equation (.) and equation (.) satisfies  T f (x(t))x (t) dt = , which is crucial for ... See full document

... Nowadays, the prescribed mean 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 ... See full document

... the existence of periodic solutions for the second order differential equations with a singularity, especially for the Liénard equa- ...the existence of periodic ... 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 ...main ... See full document

... to equations with repulsive singularity or equations with time-independent deviating ...a new question arises: how the Rayleigh equation with attractive singularity works on ... See full document

... The structure of the paper is as follows. Section  contains the tools needed in the proofs. In Section , we state and prove the main results and develop some corollaries for the equation with a singularity of ... 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 equation ... See full document

... the existence of periodic solutions for the p-Laplacian equation (see [–] and refer- ences therein), studying delay Liénard equations with a variable coefficient in front of 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 techniques, some new ... See full document

... positive periodic solutions of a kind of p-Laplacian neutral differential equation with a ...several new criteria for the existence of positive periodic solutions for the ... See full document

... The structure of the paper is as follows. After the introduction and basic notation, we recall the definition of lower and upper functions to the problem (.), (.), and we for- mulate the classical theorem on the ... See full document

... the existence of Aubry-Mather sets and quasi- periodic solutions of equation ...a new estimate approach and apply a kind of analytical techniques developed by the present author (see the ... See full document

... differential equations with time t, such as the reaction-diffusion equation, the heat equation, the wave equation, the telegraph equation and so on, can be classified as a nonlinear evolution equation ... See full document

... Existence and multiplicity of solutions of the periodic problems driven by the p- Laplacian have been obtained in the literature by many people (see [–]). Many solv- ability conditions for problem ... See full document

... a periodic time scale which has the subspace topology inherited from the standard topology on ...the existence of periodic solutions for such equations, which generalize many known ... See full document

... periodical solutions of th e second-order neutral delay differential equations w ith piecewise constant a rgum ents of th e form x"(t) + px "( t - 1) = qx(2[£+-]) + f (t), w here [■] denotes the ... See full document