Results 11 to 20 of about 4,182 (106)

Existence and global asymptotic behavior of positive solutions for combined second-order differential equations on the half-line

Advances in Nonlinear Analysis, 2016
We are concerned with the existence, uniqueness and global asymptotic behavior of positive continuous solutions to the second-order boundary value ...
Bachar Imed, Mâagli Habib
doaj   +2 more sources

Regular variation without limits

Journal of Mathematical Analysis and Applications, 2010
N H Bingham
exaly   +2 more sources

Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in the annulus [PDF]

Opuscula Mathematica, 2015
In this paper, we establish existence and asymptotic behavior of a positive classical solution to the following semilinear boundary value problem: \[-\Delta u=q(x)u^{\sigma }\;\text{in}\;\Omega,\quad u_{|\partial\Omega}=0.\] Here \(\Omega\) is an annulus
Safa Dridi, Bilel Khamessi
doaj   +1 more source

Existence and boundary behavior of positive solutions for a Sturm-Liouville problem [PDF]

Opuscula Mathematica, 2016
In this paper, we discuss existence, uniqueness and boundary behavior of a positive solution to the following nonlinear Sturm-Liouville problem \[\begin{aligned}&\frac{1}{A}(Au^{\prime })^{\prime }+a(t)u^{\sigma}=0\;\;\text{in}\;(0,1),\\ &\lim\limits_{t ...
Syrine Masmoudi, Samia Zermani
doaj   +1 more source

Sequential Regular Variation: Extensions of Kendall’s Theorem [PDF]

Quarterly Journal of Mathematics, 2019
Regular variation is a continuous-parameter theory; we work in a general setting, containing the existing Karamata, Bojanic–Karamata/de Haan and Beurling theories as special cases.
N. H. Bingham, A. Ostaszewski
semanticscholar   +1 more source

One-component regular variation and graphical modeling of extremes [PDF]

Journal of Applied Probability, 2015
The problem of inferring the distribution of a random vector given that its norm is large requires modeling a homogeneous limiting density. We suggest an approach based on graphical models which is suitable for high-dimensional vectors. We introduce the
Adrien Hitz, R. Evans
semanticscholar   +1 more source

Cauchy's functional equation and extensions: Goldie's equation and inequality, the Go{\l}\k{a}b-Schinzel equation and Beurling's equation [PDF]

, 2014
The Cauchy functional equation is not only the most important single functional equation, it is also central to regular variation. Classical Karamata regular variation involves a functional equation and inequality due to Goldie; we study this, and its ...
Bingham, N. H., Ostaszewski, A. J.
core   +3 more sources

Existence and boundary behavior of weak solutions for Schrödingerean TOPSIS equations

Boundary Value Problems, 2018
In this paper, we prove that there exists a weak solution for Schrödingerean technique for order performance by similarity (TOPSIS) equations on cylinders.
Yong Wang, Jianguo Sun, Liang Kou, Yong Lu, Guodong Zhao, Wenshan Wang, Qilong Han   +6 more
doaj   +1 more source

Additivity, subadditivity and linearity: automatic continuity and quantifier weakening [PDF]

, 2017
We study the interplay between additivity (as in the Cauchy functional equation), subadditivity and linearity. We obtain automatic continuity results in which additive or subadditive functions, under minimal regularity conditions, are continuous and so ...
Bingham, N. H., Ostaszewski, A. J.
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含非线性梯度项的椭圆方程大解的渐近行为(Asymptotic behavior of large solution to elliptic problems with nonlinear gradient terms)

Zhejiang Daxue xuebao. Lixue ban, 2011
By Karamata regular variation theory and the method of lower and supper solution, the boundary behavior of boundary blow-up solutions of the nonlinear elliptic equation Δu± | ▽u|q = b(x) f(u) in Ω，subject to the singular boundary condition u | ∂Ω =+∞ is ...
ZHANGSheng-zhi(张生智), XIJin-hua(席进华)   +1 more
doaj   +1 more source