@Article{SzymańskaDębowska2016,
author = "Szymańska-Dębowska, Katarzyna",
title = "Existence theorems of nonlinear asymptotic BVP for a homeomorphism",
journal = "Opuscula Math.",
year = "2016",
volume = "36",
number = "3",
pages = "399--407",
doi = "http://dx.doi.org/10.7494/OpMath.2016.36.3.399",
url = "http://dx.doi.org/10.7494/OpMath.2016.36.3.399",
abstract = "In this work, we are concerned with the existence of solutions for the following \(\varphi\)-Laplacian boundary value problem on the half-line \[(\varphi (x'))' =f(t,x,x'),\quad x(0)=0,\quad x'(\infty)=0,\] where \(f:\mathbb{R}_+\times\mathbb{R}^k\times\mathbb{R}^k\to\mathbb{R}^k\) is continuous. The results are proved using the properties of the Leray-Schauder topological degree.",
keywords = "half-line, nonlinear, asymptotic boundary value problem, \(\varphi\)-Laplacian, Leray-Schauder degree",
issn = "1232-9274"
}