Note about asymptotic behaviour of positive solutions of superlinear differential equation of Emden-Fowler type at zero
نویسندگان
چکیده
منابع مشابه
Approximate solutions of Emden-Fowler type equations
Singular initial value problems are investigated. We extend a decomposition method for di¤erent type Emden-Fowler-like equations. Some special cases of the equation are solved as examples, to illustrate the reliableness of the method. The solutions are constructed in the form of a convergent series.
متن کاملMultiple Positive Solutions of a Singular Emden-Fowler Type Problem for Second-Order Impulsive Differential Systems
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper studies the existence, and multiplicity of positive solutions of a singular boundary value problem for second-order differential systems with impulse effects. By using the upper and lower solutions method and fixed point ind...
متن کاملAsymptotic Behaviour of the Solution for the Singular Lane-emden-fowler Equation with Nonlinear Convection Terms
We show the exact asymptotic behaviour near the boundary for the classical solution to the Dirichler problem −∆u = k(x)g(u) + λ|∇u| , u > 0, x ∈ Ω, u ̨̨
متن کاملPositive solutions of singular boundary value problem of negative exponent Emden–Fowler equation
αu(0)−β u(0) = 0, γu(1)+ δu(1) = 0, (2) where α,β ,γ,δ ≥ 0,λ ∈ R and ρ := γβ + αγ + αδ > 0; p ∈ C((0,1), [0,∞)) and may be singular at t = 0,t = 1. When λ < 0, see [3,4,7,8] for the result concerning the above problem. When λ > 0, [6] shows the existence and uniqueness to (1) and (2) in the case of β = δ = 0 by means of the shooting method. For the following problem u + p(t)u−λ(t)+ q(t)u(t) = 0...
متن کاملThe Generalized Emden-Fowler Equation
We give the description of nonlinear nonautonomous ordinary differential equations of order n with a so-called reducible linear part. The group classification of generalized Emden-Fowler equations of the mentioned class is done. We have found such laws of the variation of f(x) that the equation admits one, two, or tree one-parameter Lie groups.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kragujevac Journal of Mathematics
سال: 2016
ISSN: 1450-9628
DOI: 10.5937/kgjmath1601105m