Existence theorems of nonlinear asymptotic BVP for a homeomorphism

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...

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Bibliographic Details
Main Author: Katarzyna Szymańska-Dębowska
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2016-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol36/3/art/opuscula_math_3622.pdf