Study on a kind of ϕ-Laplacian Liénard equation with attractive and repulsive singularities
نویسندگان
چکیده
In this paper, by application of the Manasevich-Mawhin continuation theorem, we investigate the existence of a positive periodic solution for a kind of ϕ-Laplacian singular Liénard equation with attractive and repulsive singularities.
منابع مشابه
Periodic solution for p-Laplacian Rayleigh equation with attractive singularity and time-dependent deviating argument
where g(t,x(t)) may be unbounded as x → 0+. Equation (1.1) is of repulsive type (resp. attractive type) if g(t,x(t))→ –∞ (resp. g(t,x(t))→ +∞) as x→ 0+. Using Mawhin’s continuation 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 existence of ...
متن کاملQuantum Probes of Repulsive Singularities in N = 2 Supergravity
Repulsive singularities (“repulsons”) in extended supergravity theories are investigated. These repulsive singularities are related to attractive singularities (“black holes”) in moduli space of extended supergravity vacua. In order to study these repulsive singularities a scalar test-particle in the background of a repulson is investigated. It is shown, using a partial wave expansion, that the...
متن کاملLennard-Jones Energy Parameter for Pure Fluids from Scaled Particle Theory
By considering the fact that the surface tension of a real fluid arises from a combination of both repulsive and attractive forces between molecules, a new expression for the interfacial tension has been derived from scaled particle theory (SPT) based on the work of cavity formation and the interaction energy between molecules. At the critical temperature, the interfacial tension between c...
متن کاملOn the Existence of Periodic Solutions for p-Laplacian Generalized Liénard Equation
By employing Mawhin’s continuation theorem, the existence of periodic solutions of the p-Laplacian generalized Liénard equation with deviating argument (φp(x′(t)))′ + f(t, x(t))x′(t) + β(t)g(x(t− τ(t))) = e(t) under various assumptions are obtained. Keywords—periodic solution, Mawhin’s continuation theorem, deviating argument.
متن کاملPositive 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.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره 2017 شماره
صفحات -
تاریخ انتشار 2017