TY  - JOUR
ID  - SzymańskaDębowska2016
LB  - SzymańskaDębowska2016
AU  - Szymańska-Dębowska, Katarzyna
TI  - Existence theorems of nonlinear asymptotic BVP for a homeomorphism
ST  - Existence theorems of nonlinear asymptotic BVP for a homeomorphism
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2016
VL  - 36
IS  - 3
SP  - 399
EP  - 407
DO  - http://dx.doi.org/10.7494/OpMath.2016.36.3.399
UR  - http://dx.doi.org/10.7494/OpMath.2016.36.3.399
AB  - 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.
KW  - half-line
KW  - nonlinear
KW  - asymptotic boundary value problem
KW  - \(\varphi\)-Laplacian
KW  - Leray-Schauder degree
SN  - 1232-9274
ER  -